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Bulgakov, E. N.
Spectroscopic properties of large open quantum-chaotic cavities with and without separated time scales / E. N. Bulgakov, I. . Rotter // Phys. Rev. E. - 2006. - Vol. 73, Is. 6. - Ст. 66222, DOI 10.1103/PhysRevE.73.066222. - Cited References: 24 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
HELMHOLTZ EQUATION
   SYSTEMS
   DYNAMICS
   STATES
   TRANSMISSION
   BILLIARDS
Кл.слова (ненормированные):
Hamiltonians -- Numerical analysis -- Phase control -- Quantum theory -- Spectroscopic analysis -- Wave transmission -- Bunimovich cavity -- Hamiltonian formalism -- Phase rigidity -- Quantum-chaotic cavities -- Cavity resonators
Аннотация: The spectroscopic properties of an open large Bunimovich cavity are studied numerically in the framework of the effective Hamiltonian formalism. The cavity is opened by attaching two leads to it in four different ways. In some cases, the transmission takes place via standing waves with an intensity that closely follows the profile of the resonances. In other cases, short-lived and long-lived resonance states coexist. The short-lived states cause traveling waves in the transmission while the long-lived ones generate superposed fluctuations. The traveling waves oscillate as a function of energy. They are not localized in the interior of the large chaotic cavity. In all considered cases, the phase rigidity fluctuates with energy. It is mostly near to its maximum value and agrees well with the theoretical value for the two-channel case.

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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany

Доп.точки доступа:
Rotter, I.; Булгаков, Евгений Николаевич
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Bulgakov, E. N.
Current-voltage characteristics of the resonant tunnelling double-barrier structure under time-periodical perturbation / E. N. Bulgakov, A. F. Sadreev // J. Phys.: Condens. Matter. - 1996. - Vol. 8, Is. 45. - P. 8869-8887, DOI 10.1088/0953-8984/8/45/020. - Cited References: 38 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
Рубрики:
SEMICONDUCTOR DOUBLE-BARRIER
   OSCILLATING QUANTUM-WELL
   DEPENDENT TRANSPORT
   INFRARED-RADIATION
   TUNNELING TIMES
   HETEROSTRUCTURES
   TRANSMISSION
   MODEL
   FREQUENCIES
   COHERENT
Аннотация: We consider a typical semiconductor resonant tunnelling GaAs/AlGaAs/GaAs nanostructure which forms a double-barrier potential with quasienergy levels corresponding to transition frequencies in the infrared and microwave regions. Two types of dynamical perturbation of the heterostructure in the form V-1(x, t) = V(1)x cos Omega t and V-2(t) = V-2 cos Omega t are considered. We analyse numerically a reconstruction of the electron transmission through the heterostructure and the current-voltage characteristics (IVC) under the influence of these dynamical perturbations. Both weak and strong perturbations are considered. We investigate the dependences of the transmission on the electron energy and the frequency of the external field with the main accent on the case where a frequency of the perturbation is tuned to a transition between quasienergies of the double-barrier structure. it is found that these resonant phenomena give rise to new peaks and dips in the IVC. In particular, it is shown that the dipole type of perturbation V-1(x, t) gives rise to a Rabi splitting of the transmission peaks and under certain conditions to a Rabi splining of the IVC peaks and dips. We demonstrate that dynamical perturbation may induce a direct current opposite to the direction of the applied voltage, and that this phenomenon takes the form of a sharp dip which has a resonant origin. It is observed that the dipole type of perturbation V-1(x, t) of laser radiation is more effective for tuning the IVC than the first perturbation V-2(t). Also absorption and emission of energy by an electron transmitted through the DBRTS are considered.

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Держатели документа:
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Sadreev, A. F.
Bound states in the continuum in open quantum billiards with a variable shape / A. F. Sadreev, E. N. Bulgakov, I. . Rotter // Phys. Rev. B. - 2006. - Vol. 73, Is. 23. - Ст. 235342, DOI 10.1103/PhysRevB.73.235342. - Cited References: 24 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
TRANSMISSION
   RESONANCES
   ELECTRON
   DYNAMICS
Аннотация: We show the existence of bound states in the continuum (BICs) in quantum billiards (QBs) that are opened by attaching single-channel leads to them. They may be observed by varying an external parameter continuously, e.g., the shape of the QB. At some values of the parameter, resonance states with vanishing decay width (the BICs) occur. They are localized almost completely in the interior of the closed system. The phenomenon is shown analytically to exist in the simplest case of a two level QB and is complemented by numerical calculations for a real QB.

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Держатели документа:
Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Rotter, I.; Садреев, Алмаз Фаттахович
}
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Bound states in the continuum in open Aharonov-Bohm rings / E. N. Bulgakov [et al.] // JETP Letters. - 2006. - Vol. 84, Is. 8. - P. 430-435, DOI 10.1134/S0021364006200057. - Cited References: 33 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
WAVE-GUIDE
   QUANTUM
   TRANSMISSION
   SCATTERING
   BILLIARDS
   ELECTRON
Аннотация: Using the formalism of the effective Hamiltonian, we consider bound states in a continuum (BIC). They are nonhermitian effective Hamiltonian eigenstates that have real eigenvalues. It is shown that BICs are orthogonal to open channels of the leads, i.e., disconnected from the continuum. As a result, BICs can be superposed to a transport solution with an arbitrary coefficient and exist in a propagation band. The one-dimensional Aharonov-Bohm rings that are opened by attaching single-channel leads to them allow exact consideration of BICs. BICs occur at discrete values of the energy and magnetic flux; however, it's realization strongly depends on the way to the BIC point.

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Держатели документа:
Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Rotter, I.
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Bulgakov, E. N.
Phase rigidity and avoided level crossings in the complex energy plane / E. N. Bulgakov, I. . Rotter, A. F. Sadreev // Phys. Rev. E. - 2006. - Vol. 74, Is. 5. - Ст. 56204, DOI 10.1103/PhysRevE.74.056204. - Cited References: 40 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
OPEN QUANTUM-SYSTEMS
   FANO RESONANCES
   S-MATRIX
   DOT
   CONTINUUM
   TRANSMISSION
   COHERENCE
   TRANSPORT
   BILLIARDS
   PROBE
Кл.слова (ненормированные):
Eigenvalues and eigenfunctions -- Hamiltonians -- Resonance -- Rigidity -- Semiconductor quantum dots -- Biorthogonal eigenfunctions -- Open quantum system -- Phase rigidity -- Quantum theory
Аннотация: We consider the effective Hamiltonian of an open quantum system, its biorthogonal eigenfunctions phi(lambda), and define the value r(lambda)=(phi(lambda)parallel to phi(lambda))/ that characterizes the phase rigidity of the eigenfunctions phi(lambda). In the scenario with avoided level crossings, r(lambda) varies between 1 and 0 due to the mutual influence of neighboring resonances. The variation of r(lambda) is an internal property of an open quantum system. In the literature, the phase rigidity rho of the scattering wave function Psi(E)(C) is considered. Since Psi(E)(C) can be represented in the interior of the system by the phi(lambda), the phase rigidity rho of the Psi(E)(C) is related to the r(lambda) and therefore also to the mutual influence of neighboring resonances. As a consequence, the reduction of the phase rigidity rho to values smaller than 1 should be considered, at least partly, as an internal property of an open quantum system in the overlapping regime. The relation to measurable values such as the transmission through a quantum dot, follows from the fact that the transmission is, in any case, resonant at energies that are determined by the real part of the eigenvalues of the effective Hamiltonian. We illustrate the relation between phase rigidity rho and transmission numerically for small open cavities.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Department of Physics and Measurement, Technology Linkoping University, S-581 83 Linkoping, Sweden

Доп.точки доступа:
Rotter, I.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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Resonant tunneling in time-periodically modulated semiconductor nanostructures / G. P. Berman [et al.] // Physica B. - 1996. - Vol. 225, Is. 1-2. - P. 1-22, DOI 10.1016/0921-4526(96)00233-5. - Cited References: 39 . - ISSN 0921-4526

РУБ Physics, Condensed Matter
Рубрики:
DOUBLE BARRIERS
TRANSMISSION
HETEROSTRUCTURES
Аннотация: We consider a semiconductor (AlGaAs/GaAs/AlGaAs) double-barrier resonant tunneling nanostructure (DBRTS), in which the bottom of the potential well is modulated by an external periodic potential V(t) = V-mod cos Omega t. We examine the resonance response to both mono-energetic and spatially localized incident electrons, extending previous results in three ways. First, we study numerically the resonant characteristics in the transmission probabilities as functions of both the electron's energy and the frequency of the external field. We find that new low-frequency resonant peaks appear in the frequency dependence of the transmission probabilities and discuss the origin and possible experimental observation of these peaks. Second, we develop an analytic perturbation theory (valid for small values of the parameter lambda = V-mod/h Omega) describing the processes of absorption and emission of single quanta of the modulation field and show that this perturbative treatment agrees well with the results of numerical calculations in the appropriate regions, up to and including the regime in which the one-quantum processes saturate. Third, for localized (Gaussian) incident wave packets, we show numerically that temporal modulations of the potential well in the DBRTS can induce spatial modulations in the transmitted and reflected wave packets. We develop a simple qualitative picture that explains our results. Finally, we estimate characteristic values of the parameters relevant for possible observation of these effects in laboratory experiments.

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Держатели документа:
LOS ALAMOS NATL LAB,CNLS,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,DEPT PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Берман, Геннадий Петрович; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Campbell, D. K.; Sadreev, A. F.; Садреев, Алмаз Фаттахович
}
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    Aksenov, S. V.
    Collapse of the Fano resonance caused by the nonlocality of the majorana state / S. V. Aksenov, M. Y. Kagan // JETP Letters. - 2020. - Vol. 111, Is. 5. - P. 286-292, DOI 10.1134/S0021364020050057. - Cited References: 37. - The work was supported by the Presidium of the Russian Academy of Sciences (Program of Basic Research no. 32 "Nanostructures: Physics, Chemistry, Biology, and Fundamentals of Technologies"), by the Russian Foundation for Basic Research (project nos. 19-02-00348, 20-32-70059, and 20-02-00015), and by the Government of the Krasnoyarsk Territory together with the Krasnoyarsk Science Foundation (project no. 19-42-240011 "Coulomb Interactions in the Problem of Majorana Modes in Low-Dimensional Systems with Nontrivial Topology"). S.V. Aksenov acknowledges the support of the Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific Schools, grant no. MK3722.2018.2. M.Yu. Kagan acknowledges the support of the National Research University Higher School of Economics (program of basic research). . - ISSN 0021-3640. - ISSN 1090-6487
Рубрики:
BOUND-STATES
   QUANTUM TRANSITIONS
   TRANSMISSION
   CONTINUUM
   CASCADE
Аннотация: Owing to the nonlocal character of the Majorana state, the corresponding excitations are of great interest. It is demonstrated that the direct consequence of such nonlocality is the collapse of the Fano resonance manifesting itself in the conductance of an asymmetric interference device, the arms of which are connected by a one-dimensional topological superconductor. In the framework of the spinless model, it is shown that the predicted effect is associated with an increase in the multiplicity of the degeneracy of the zero-energy state of the structure arising at the critical point of the Kitaev model. Such an increase leads to the formation of a bound state in the continuum.

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Публикация на русском языке Аксенов, Сергей Владимирович. Коллапс резонанса Фано вследствие нелокальности майорановского состояния [Текст] / С. В. Аксенов, М. Ю. Каган // Письма в ЖЭТФ. - 2020. - Т. 111 Вып. 5. - С. 321-327

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr KSC, Siberian Branch, Krasnoyarsk 660036, Russia.
Natl Res Univ Higher Sch Econom, Moscow 101000, Russia.
Russian Acad Sci, Kapitza Inst Phys Problems, Moscow 119334, Russia.

Доп.точки доступа:
Kagan, M. Yu.; Аксенов, Сергей Владимирович; Presidium of the Russian Academy of SciencesRussian Academy of Sciences [32]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348, 20-32-70059, 20-02-00015]; Krasnoyarsk Science Foundation [19-42-240011]; Government of the Krasnoyarsk Territory; Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK3722.2018.2]; National Research University Higher School of Economics
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Synchronously controlled optical modes in the transmittance and reflectance spectra of multilayer photonic structure with dual-frequency nematic liquid crystal / V. A. Gunyakov, V. S. Sutormin, S. A. Myslivets [et al.] // Phys. Rev. E. - 2022. - Vol. 105, Is. 2. - Ст. 024702, DOI 10.1103/PhysRevE.105.024702. - Cited References: 31 . - ISSN 2470-0045. - ISSN 2470-0053

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
ANGULAR-DEPENDENCE
   DEFECT MODES
   FILTER
   TRANSMISSION
   MODULATION
Аннотация: A method for electrically controlled synchronous mode tuning in the transmittance and reflectance spectra of a photonic structure consisting of an asymmetric dielectric Fabry-Perot microcavity and an ultrathin metallic film has been proposed. The excitation of a broadband Tamm plasmon polariton at a metal/Bragg mirror interface is accompanied by the two phenomena opposing one another. Due to the strong absorption induced by the metal, a sufficient rejection level in the reflection of the off-resonant radiation has been obtained in a wide spectral range, which almost coincides with the photonic band gap, while at the cavity mode frequencies the structure becomes transparent for the reflected radiation. This leads to the appearance of a series of narrow resonance peaks in the reflectance spectra that coincide in frequency with the transmittance peaks. Based on the structural transformations in the dual-frequency nematic liquid crystal used as a photonic structure defect, the tuning of the modes corresponding to the extraordinary waves to both the short- and long-wavelength spectral ranges has been implemented.

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Держатели документа:
Russian Acad Sci, Fed Res Ctr, Kirensky Inst Phys, Siberian Branch,Krasnoyarsk Sci Ctr, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Gunyakov, V. A.; Гуняков, Владимир Алексеевич; Sutormin, V. S.; Сутормин, Виталий Сергеевич; Myslivets, S. A.; Мысливец, Сергей Александрович; Shabanov, V. F.; Шабанов, Василий Филиппович; Zyryanov, V. Ya.; Зырянов, Виктор Яковлевич
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Bulgakov, E. N.
Optical response induced by bound states in the continuum in arrays of dielectric spheres / E. N. Bulgakov, D. N. Maksimov // J. Opt. Soc. Am. B. - 2018. - Vol. 35, Is. 10. - P. 2443-2452, DOI 10.1364/JOSAB.35.002443. - Cited References: 51. - Ministry of Education and Science of the Russian Federation (Minobrnauka) (State Contract N 3.1845.2017); Russian Foundation for Basic Research (RFBR) (16-02-00314). . - ISSN 0740-3224. - ISSN 1520-8540

РУБ Optics
Рубрики:
COUPLED-MODE THEORY
   LIGHT LINE
   ENHANCEMENT
   TRANSMISSION
   TRANSITION
Аннотация: We consider an optical response induced by bound states in the continuum (BICs) in arrays of dielectric spheres. By combining the quasi-mode expansion technique with coupled mode theory (CMT), we put forward a theory of the optical response by high-Q resonance surrounding BICs in momentum space. The central results are analytical expressions for the CMT parameters, which can be easily calculated from the eigenfrequencies and eigenvectors of the interaction matrix of the scattering systems. The results obtained are verified in comparison against exact numerical solutions to demonstrate that the CMT approximation is capable of reproducing Fano features in the spectral vicinity of the BIC. Based on the quasi-mode expansion technique, we derived the asymptotic scaling law for the CMT parameters in the vicinity of the Γ-point. It is rigorously demonstrated that the linewidth in the CMT approximation exhibits different asymptotic behavior depending on the symmetry of the BIC.

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Держатели документа:
Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk 660037, Russia.
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Булгаков, Евгений Николаевич; Ministry of Education and Science of the Russian Federation (Minobrnauka) [N 3.1845.2017]; Russian Foundation for Basic Research (RFBR) [16-02-00314]
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10.

Bulgakov, E. N.
Resonance induced by a bound state in the continuum in a two-level nonlinear Fano-Anderson model / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2009. - Vol. 80, Is. 11. - Ст. 115308, DOI 10.1103/PhysRevB.80.115308. - Cited References: 34. - The work was partially supported by RFBR Grant No. 09-02-98005 "Siberia." We thank Dima Maksimov for remarks and Kostya Pichugin for discussions. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
TRANSMISSION
Аннотация: We consider the transmission through a nonlinear media in the framework of a two-level nonlinear Fano-Anderson model. The model is realized in photonic crystal waveguide coupled with two off-channel defects with the instantaneous Kerr-type nonlinearity. We reveal a resonance and argue that it is a result of excitement of bound state in the continuum (BSC) by transmitted wave. The resonance induced by BSC is located at the energy of BSC with a width proportional to the amplitude of incident wave. The BSC exists at any distance between energy levels of the two-level nonlinear Fano-Anderson model that is fundamentally different from the linear case.

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; RFBR [09-02-98005]
}
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11.

    Sadreev, A. F.
    Enhancement of Rayleigh scattering in a two-dimensional Fabry-Perot resonator loaded with impurities / A. F. Sadreev // J. Opt. Soc. Am. A. - 2016. - Vol. 33, Is. 7. - P. 1277-1282, DOI 10.1364/JOSAA.33.001277. - Cited References:32. - Russian Science Foundation (RSF) (14-12-00266) . - ISSN 1084-7529. - ISSN 1520-8532
   Перевод заглавия: Усиление Релеевского рассеяния в двумерном резонаторе Фабри-Перо с примесями

РУБ Optics
Рубрики:
COUPLED-MODE THEORY
   MULTIPLE-SCATTERING
   NUCLEAR REACTIONS
   UNIFIED THEORY
   RANDOM-MEDIA
   TRANSMISSION
   PARTICLES
   WAVES
   LIGHT
   STRIP
Аннотация: We study wave transmission through a Fabry-Perot resonator (FPR) loaded with point-like impurities. We show both analytically in the framework of the coupled mode theory and numerically that there are two different regimes for transmission dependent on the quality of the FPR mirrors. For low quality, we obtain transmittance very similar to the clean FPR with slightly shifted Lorentz peaks. However, for good quality, the transmittance peaks are strongly reduced and substituted with Gaussian peaks because of multiple scattering of waves by each impurity. As a side effect, we observe the angular (channel) conversion in the disordered FPR. We demonstrate that the resonant peaks are dependent on the concentration of impurities to pave a way for resonant measurement of the concentration. (C) 2016 Optical Society of America

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Доп.точки доступа:
Садреев, Алмаз Фаттахович; Russian Science Foundation (RSF) [14-12-00266]
}
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12.

Sadreev, A. F.
Bound states in the continuum in zigzag quantum wire enforced by a finger gate / A. F. Sadreev, A. S. Pilipchuk // JETP Letters. - 2015. - Vol. 100, Is. 9. - P. 585-590, DOI 10.1134/S0021364014210139. - Cited References:41. - This work was supported by the Russian Foundation for Basic Research(project no. 14-12-00266). . - ISSN 0021. - ISSN 1090-6487. -

РУБ Physics, Multidisciplinary
Рубрики:
WAVE-GUIDE
   DOUBLE-BEND
   SYSTEMS
   TRANSMISSION
   RESONANCES
   ELECTRON
Аннотация: We consider electron transport in a zigzag quantum wire by the effect of finger gate potential. Using a non-Hermitian effective Hamiltonian, we calculate resonance positions and widths to show that the resonance widths are easily governed by the gate potential. In particular, the resonance width can be enforced to be equal to zero, which leads to an electron localization with the Fermi energy embedded in the propagation band of the wire, i.e., the bound state in the continuum (BSC). We show that, for positive values of the potential, a zigzag wire becomes a Fabry-Perot resonator to give rise to BSC too.

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Публикация на русском языке Садреев, Алмаз Фаттахович. Связанные состояния в континууме, инициированные потенциалом электрода в зигзагообразной квантовой проволоке [Текст] / А. Ф. Садреев, А. C. Пилипчук // Письма в Журн. эксперим. и теор. физ. - 2014. - Т. 100 Вып. 9-10. - С. 664– 669

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660080, Russia.

Доп.точки доступа:
Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Садреев, Алмаз Фаттахович; Russian Foundation for Basic Research [14-12-00266]
}
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13.

    Coupled mode theory for acoustic resonators / D. N. Maksimov [et al.] // Wave Motion. - 2015. - Vol. 56. - P. 52-66, DOI 10.1016/j.wavemoti.2015.02.003. - Cited References:42. - We thank K.N. Pichugin for helpful discussions. The work was supported by grant 14-12-00266 from Russian Science Foundation. . - ISSN 0165. - ISSN 1878-433X
   Перевод заглавия: Теория связанных мод для акустических резонаторов
Рубрики:
WAVE-GUIDES
   TRAPPED MODES
   DISCONTINUITIES
   TRANSMISSION
   BILLIARDS
Кл.слова (ненормированные):
Coupled mode theory -- Non-Hermitian Hamiltonian -- Acoustic resonator -- s-matrix
Аннотация: We develop the effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. The approach can be used for calculating the scattering matrix and the scattering function in open resonator–waveguide systems. In higher than one dimension the method represents acoustic coupled mode theory in which the scattering solution within an open resonator is found in the form of expansion over the eigenmodes of the closed resonator decoupled from the waveguides. The problem of finding the transmission spectra is reduced to solving a set of linear equations with a non-Hermitian matrix whose anti-Hermitian term accounts for coupling between the resonator eigenmodes and the scattering channels of the waveguides. Numerical applications to acoustic two-, and three-dimensional resonator–waveguide problems are considered.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660080, Russia

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Lyapina, A. A.; Ляпина, Алина Андреевна; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Russian Science Foundation [14-12-00266]
}
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14.

Vetrov, S. Ya.
Band structure of a two-dimensional resonant photonic crystal / S. Y. Vetrov, I. V. Timofeev, N. V. Rudakova // Phys. Solid State. - 2010. - Vol. 52, Is. 3. - P. 527-532, DOI 10.1134/S1063783410030133. - Cited References: 16. - This study was supported by the Council on Grants from the President of the Russian Federation (grant nos. 3818.2008.3 and 1292.2008.2), the Ministry of Education and Science of the Russian Federation within the framework of the program "Development of the Scientific Potential of the Higher School" (RNP no. 2.1.1/3455), the Presidium of the Russian Academy of Sciences (project no. 27.1), and the Siberian Branch of the Russian Academy of Science (project nos. 5 and 144). . - ISSN 1063-7834

РУБ Physics, Condensed Matter
Рубрики:
TRANSMISSION
LASER
Аннотация: The band structure of two-dimensional resonant photonic crystals of two types has been calculated using the expansion of eigenfunctions in plane waves. Crystals of one type consist of infinite dielectric cylinders forming a square lattice filled with a resonant gas, and crystals of the other type consist of infinite cylindrical holes filled with a resonant gas and forming a square lattice in a dielectric matrix. It has been shown that, in both cases, the dispersion of a resonant gas in combination with the dispersion of a two-dimensional structure with a photonic band gap leads to the appearance of an additional narrow transmission band near the edge of the band gap or an additional band gap in the continuous spectrum of the photonic crystal. The calculations performed have demonstrated that new dispersion properties substantially depend on the density of the resonant gas, the position of the resonant frequency with respect to the edge of the band gap, and the direction of propagation of electromagnetic waves.

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Держатели документа:
[Vetrov, S. Ya.
Rudakova, N. V.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
[Timofeev, I. V.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Timofeev, I. V.; Тимофеев, Иван Владимирович; Rudakova, N. V.; Ветров, Степан Яковлевич
}
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15.

Vetrov, S. Y.
Optical Tamm states at the interface between a photonic crystal and a nanocomposite with resonance dispersion / S. Y. Vetrov, R. G. Bikbaev, I. V. Timofeev // J. Exp. Theor. Phys. - 2013. - Vol. 117, Is. 6. - P. 988-998, DOI 10.1134/S1063776113140185. - Cited References: 28. - This work was supported by the Ministry of Education and Science of the Russian Federation (state contract no. 14.V37.21.0730, federal program "Human Capital for Science and Education in Innovative Russia"); by the Presidium of the Siberian Branch, Russian Academy of Sciences (project no. 24.29); by the Ministry of Education and Science of the Russian Federation (contract no. 14V37.21.0730); by the Division of Physical Sciences, Russian Academy of Sciences (project no. Sh.9.5); by the Presidium of the Russian Academy of Sciences (project nos. 24.29 and 24.31); and by the Siberian Branch, Russian Academy of Sciences (project nos. 43 and 101). . - ISSN 1063-7761. - ISSN 1090-6509

РУБ Physics, Multidisciplinary
Рубрики:
LIGHT
   TRANSMISSION
   MEDIA
   LAYER
Аннотация: Optical Tamm states localized at the edges of a photonic crystal bounded from one or both sides by a nanocomposite have been studied. The nanocomposite consists of metallic nanoinclusions, which have a spherical or orientationally ordered spheroidal shape and are dispersed in a transparent matrix, and is characterized by the resonant effective permittivity. The transmission, reflection, and absorption spectra have been calculated for waves with longitudinal and transverse polarizations in such structures at the normal incidence of light. The spectral manifestation of Tamm states that is due to the existence of negative values of the real part of the effective permittivity has been analyzed for the visible spectral range. It has been established that the characteristics of Tamm states localized at the edge of the photonic crystal depend strongly both on the concentration of nanoballs in the nanocomposite film and on its thickness. Modes formed by two coupled Tamm plasmon polaritons localized at the edges of the photonic crystal adjacent to two nanocomposite layers have been examined. It has been shown that, in the case of the anisotropic nanocomposite layer adjacent to the photonic crystal, each of two orthogonal polarizations of the incident wave corresponds to a specific frequency of the Tamm state localized at the edge; owing to this property, the transmission spectra of such a structure are polarization sensitive.

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Публикация на русском языке Ветров, Степан Яковлевич. Оптические таммовские состояния на границе фотонного кристалла и нанокомпозита c резонансной дисперсией [Текст] / С. Я. Ветров [и др.] // Журн. эксперимент. и теор. физ. - 2013. - Т. 144 Вып. 6. - С. 1129-1139

Держатели документа:
Siberian Fed Univ, Krasnoyarsk 660041, Russia
Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Bikbaev, R. G.; Timofeev, I. V.; Тимофеев, Иван Владимирович; Ministry of Education and Science of the Russian Federation [14.V37.21.0730, 14V37.21.0730]; Presidium of the Siberian Branch, Russian Academy of Sciences [24.29]; Division of Physical Sciences, Russian Academy of Sciences [Sh.9.5]; Presidium of the Russian Academy of Sciences [24.29, 24.31]; Siberian Branch, Russian Academy of Sciences [43, 101]
}
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16.

Bulgakov, E. N.
All-optical diode based on dipole modes of Kerr microcavity in asymmetric L-shaped photonic crystal waveguide / E. N. Bulgakov, A. F. Sadreev // Opt. Lett. - 2014. - Vol. 39, Is. 7. - P. 1787-1790, DOI 10.1364/OL.39.001787. - Cited References: 14. - This work was partially supported by RFBR grant 13-02-00497 . - ISSN 0146-9592. - ISSN 1539-4794

РУБ Optics
Рубрики:
TRANSMISSION
Аннотация: A design of all-optical diode in L-shaped photonic crystal waveguide is proposed that uses the multistability of single nonlinear Kerr microcavity with two dipole modes. Asymmetry of the waveguide is achieved through different couplings of the dipole modes with the left and right legs of the waveguide. Using coupled mode theory we demonstrate an extremely high transmission contrast. The direction of optical diode transmission can be controlled by power or frequency of injected light. The theory agrees with the numerical solution of the Maxwell equations. (C) 2014 Optical Society of America

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Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; RFBR [13-02-00497]
}
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17.

    Sadreev, A. F.
    Gate controlled resonant widths in double-bend waveguides: bound states in the continuum / A. F. Sadreev, D. N. Maksimov, A. S. Pilipchuk // J. Phys.: Condens. Matter. - 2015. - Vol. 27, Is. 29. - Ст. 295303, DOI 10.1088/0953-8984/27/29/295303. - Cited References:52. - This work is supported by the Russian Science Foundation through Grant No. 14-12-00266. AS is grateful K-F Berggren for discussions. . - ISSN 0953. - ISSN 1361-648X
   Перевод заглавия: Управление резонансными ширинами в двух-коленных волноводах: связанные состояния в континууме

РУБ Physics, Condensed Matter
Рубрики:
CIRCULAR BENDS
   NUCLEAR REACTIONS
   FANO RESONANCES
   UNIFIED THEORY
   QUANTUM
   TRANSMISSION
   TRANSPORT
   SYSTEMS
Кл.слова (ненормированные):
double-bent waveguide -- effective non-Hermittian Hamiltonian -- bound -- states in the continuum
Аннотация: We consider quantum transmission through double-bend Pi- and Z-shaped waveguides controlled by the finger gate potential. Using the effective non-Hermitian Hamiltonian approach we explain the resonances in transmission. We show a difference in transmission in the short waveguides that is the result of different chirality in Z and Pi waveguides. We demonstrate that the potential selectively affects the resonant widths resulting in the occurrence of bound states in the continuum.

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Держатели документа:
Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660080, Russia.

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Садреев, Алмаз Фаттахович; Russian Science Foundation [14-12-00266]
}
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18.

Bulgakov, E. N.
Bound states in the continuum in photonic waveguides inspired by defects / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2008. - Vol. 78, Is. 7. - Ст. 75105, DOI 10.1103/PhysRevB.78.075105. - Cited References: 53 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
SCATTERING-THEORY
   NUCLEAR REACTIONS
   UNIFIED THEORY
   TRANSMISSION
   ELECTRON
   MODEL
Аннотация: Photonic crystal with defect layer forms directed continuum for electromagnetic waves. Defect rods in the vicinity of the defect layer interact with the continuum and give rise to scattering of ingoing waves. We derive quantum-mechanical analog of the non-Hermitian Hamiltonian of the open system with complex eigenvalues, which describes a scattering of electromagnetic waves by the defect rods. In this formalism a bound state in the continuum (BIC) can be easily found by the condition that one of the complex eigenvalues becomes real for variation of dielectric constant of the defect rods. We numerically find BICs with discrete frequencies belong to the continuum for different arrangements of the defects and show that they are localized around the defects.

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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19.

Quantum nonlinear resonance and quantum chaos in Aharonov-Bohm oscillations in mesoscopic semiconductor rings / G. P. Berman [et al.] // Phys. Rev. B. - 1997. - Vol. 56, Is. 16. - P. 10338-10354, DOI 10.1103/PhysRevB.56.10338. - Cited References: 51 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
Рубрики:
EXCITED HYDROGEN-ATOMS
   FREQUENCY ELECTROMAGNETIC-FIELD
   PERSISTENT CURRENTS
   NORMAL-METAL
   ENERGY SPACE
   LOCALIZATION
   TRANSPORT
   LOOP
   TIME
   TRANSMISSION
Аннотация: We consider Aharonov-Bohm oscillations in a mesoscopic semiconductor ring threaded by both a constant magnetic flux and a time-dependent, resonant magnetic field with one or two frequencies. Working in the ballistic regime, we establish that the theory of ''quantum nonlinear resonance'' applies, and thus that this system represents a possible solid-state realization of ''quantum nonlinear resonance'' and ''quantum chaos.'' In particular, we investigate the behavior of the time-averaged electron energy at zero temperature in the regimes of (i) an isolated quantum nonlinear resonance and (ii) the transition to quantum chaos, when two quantum nonlinear resonances overlap. The time-averaged energy exhibits sharp resonant behavior as a function of the applied constant magnetic flux, and has a staircase dependence on the amplitude of the external time-dependent field. In the chaotic regime, the resonant behavior exhibits complex structure as a function of flux and frequency. We compare and contrast the quantum chaos expected in these mesoscopic ''solid-state atoms'' with that observed in Rydberg atoms in microwave fields, and discuss the prospects for experimental observation of the effects we predict.

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Держатели документа:
LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
UKRAINIAN ACAD SCI,INST LOW TEMP PHYS & ENGN,UA-310164 KHARKOV,UKRAINE
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Campbell, D. K.; Krive, I. V.
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20.

Bulgakov, E. N.
Bound states in photonic Fabry-Perot resonator with nonlinear off-channel defects / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2010. - Vol. 81, Is. 11. - Ст. 115128, DOI 10.1103/PhysRevB.81.115128. - Cited References: 73. - The work was partially supported by RFBR under Grant No. 09-02-98005 "Siberia." We are greatly acknowledge Konstantin Pichugin for many discussions. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
CRYSTAL WAVE-GUIDES
   STATIONARY LOCALIZED STATES
   COUPLED-MODE THEORY
   OPTICAL RESONATORS
   NUCLEAR REACTIONS
   UNIFIED THEORY
   MICROCAVITIES
   TRANSMISSION
   CONTINUUM
   CIRCUITS
Аннотация: We consider a Fabry-Perot resonator (FPR) comprised of two off-channel nonlinear defects coupled to the photonic waveguide. For the linear case FPR can support bound states in the form of standing waves between the defects if a distance between them is quantized. For the nonlinear case the bound states appear for arbitrary distance between the defects if electromagnetic intensity is quantized. For transmission through the FPR we reveal additional resonances which are the result of coupling of incident wave with the bound states because of nonlinearity of the defects. The resonances are spaced at the eigenfrequencies of bound states with a width proportional to the input amplitude. The theory of the FPR based on the simple Wang and Fan model [Phys. Rev. E 68, 066616 (2003)] is complemented by the tight-binding one. The results for the transmission and bound states in these models agree with computations in real two-dimensional photonic crystal waveguide coupled with two off-channel defects fabricated from a Kerr-type material.

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny N.] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation
Siberian State Aerospace University, Krasnoyarsk Rabochii, 31, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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