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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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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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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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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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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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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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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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    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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    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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10.

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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