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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Current-voltage characteristics of the resonant tunnelling double-barrier structure under time-periodical perturbation
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 1996. - Vol. 8, Is. 45. - P.8869-8887. - ISSN 0953-8984, DOI 10.1088/0953-8984/8/45/020
Примечания : Cited References: 38
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Bulgakov E. N., Campbell D. K., Sadreev A. F.
Заглавие : Resonant tunneling in time-periodically modulated semiconductor nanostructures
Место публикации : Physica B. - 1996. - Vol. 225, Is. 1-2. - P.1-22. - ISSN 0921-4526, DOI 10.1016/0921-4526(96)00233-5
Примечания : Cited References: 39
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Bulgakov E. N., Campbell D. K., Krive I. V.
Заглавие : Quantum nonlinear resonance and quantum chaos in Aharonov-Bohm oscillations in mesoscopic semiconductor rings
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 56, Is. 16. - P10338-10354. - ISSN 0163-1829, DOI 10.1103/PhysRevB.56.10338
Примечания : Cited References: 51
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Rotter I., Sadreev A. F.
Заглавие : Phase rigidity and avoided level crossings in the complex energy plane
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2006. - Vol. 74, Is. 5. - Ст.56204. - ISSN 1539-3755, DOI 10.1103/PhysRevE.74.056204
Примечания : Cited References: 40
Предметные рубрики: OPEN QUANTUM-SYSTEMS
FANO RESONANCES
S-MATRIX
DOT
CONTINUUM
TRANSMISSION
COHERENCE
TRANSPORT
BILLIARDS
PROBE
Ключевые слова (''Своб.индексиров.''): 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))/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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F., Rotter I.
Заглавие : Bound states in the continuum in open Aharonov-Bohm rings
Место публикации : JETP Letters. - 2006. - Vol. 84, Is. 8. - P.430-435. - ISSN 0021-3640, DOI 10.1134/S0021364006200057
Примечания : Cited References: 33
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Rotter I.
Заглавие : Spectroscopic properties of large open quantum-chaotic cavities with and without separated time scales
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2006. - Vol. 73, Is. 6. - Ст.66222. - ISSN 1539-3755, DOI 10.1103/PhysRevE.73.066222
Примечания : Cited References: 24
Предметные рубрики: HELMHOLTZ EQUATION
SYSTEMS
DYNAMICS
STATES
TRANSMISSION
BILLIARDS
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Bulgakov E. N., Rotter I.
Заглавие : Bound states in the continuum in open quantum billiards with a variable shape
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2006. - Vol. 73, Is. 23. - Ст.235342. - ISSN 1098-0121, DOI 10.1103/PhysRevB.73.235342
Примечания : Cited References: 24
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Bound states in the continuum in photonic waveguides inspired by defects
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2008. - Vol. 78, Is. 7. - Ст.75105. - ISSN 1098-0121, DOI 10.1103/PhysRevB.78.075105
Примечания : Cited References: 53
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Resonance induced by a bound state in the continuum in a two-level nonlinear Fano-Anderson model
Коллективы : RFBR [09-02-98005]
Место публикации : Phys. Rev. B. - 2009. - Vol. 80, Is. 11. - Ст.115308. - ISSN 1098-0121, DOI 10.1103/PhysRevB.80.115308
Примечания : 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.
Предметные 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Vetrov S.Ya., Timofeev I. V., Rudakova N. V.
Заглавие : Band structure of a two-dimensional resonant photonic crystal
Место публикации : Phys. Solid State: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2010. - Vol. 52, Is. 3. - P.527-532. - ISSN 1063-7834, DOI 10.1134/S1063783410030133
Примечания : 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).
Предметные 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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