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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Erementchouk M. V., Kusmartsev F. V.
Заглавие : Direct-current generation due to wave mixing in semiconductors
Место публикации : Europhys. Lett. - 1999. - Vol. 47, Is. 5. - P.595-600. - ISSN 0295-5075, DOI 10.1209/epl/i1999-00430-0
Примечания : Cited References: 34
Предметные рубрики: BLOCH OSCILLATOR
SUPERLATTICES
PHOTOCURRENT
TRANSPORT
FREQUENCY
FIELD
RECTIFIERS
EMISSION
CHAOS
GAAS
Аннотация: We describe an effect of the generation of direct current which may arise in semiconductors or semiconductor microstructures due to a mixing of coherent electromagnetic radiations of commensurate frequencies. The effect is, in essence, due to a nonparabolicity of the electron energy bands and is stronger in systems where this nonparabolicity is greater. We have made exact calculations in the framework of the Kane model, applicable to narrow-gap semiconductors and the tight-binding model which we employ for a description of a semiconductor superlattice.
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Вид документа : Однотомное издание (Препринт)
Шифр издания :
Автор(ы) : Alekseev K. N., Berman G. P.
Заглавие : Dynamic chaos in the interaction between light and impurity centers in a crystal : препринт. № 598Ф
Выходные данные : Красноярск: ИФ СО АН СССР, 1989
Колич.характеристики :8 с
Коллективы : Академия наук СССР, Сибирское отделение АН СССР, Институт физики им. Л.В. Киренского Сибирского отделения АН СССР
Примечания : Библиогр. :
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Perina J.
Заглавие : Light squeezing at the transition to quantum chaos
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 1998. - Vol. 57, Is. 4. - P4023-4034. - ISSN 1063-651X, DOI 10.1103/PhysRevE.57.4023
Примечания : Cited References: 62
Предметные рубрики: HIGHLY-EXCITED ATOMS
ELECTROMAGNETIC-FIELD
ANHARMONIC-OSCILLATOR
MICROWAVE IONIZATION
MONOCHROMATIC-FIELD
CLASSICAL MECHANICS
PERIODIC-ORBITS
RYDBERG ATOMS
HYDROGEN-ATOM
SYSTEMS
Аннотация: We investigate theoretically the dynamics of squeezed state generation in nonlinear systems possessing a transition from regular to chaotic dynamics in the limit of a large number of photons. As an example, the model of a kicked Kerr oscillator is considered. We show that at the transition to quantum chaos the maximum possible degree of squeezing increases exponentially in time, in contrast to the regular dynamics, where the degree of squeezing increases only powerwise in time. We demonstrate the one-to-one correspondence of the degree of squeezing and the value of the local Lyapunov instability rate in the corresponding classical chaotic system.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Ponomarev A. V.
Заглавие : Optical chaos in nonlinear photonic crystals
Место публикации : JETP Letters. - 2002. - Vol. 75, Is. 4. - P.174-178. - ISSN 0021-3640, DOI 10.1134/1.1475717
Примечания : Cited References: 34
Предметные рубрики: POLED LITHIUM-NIOBATE
3RD-HARMONIC GENERATION
WAVE-GUIDES
SUPERLATTICES
CHI((2))
Аннотация: We examine the spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity, when a second harmonic and a sum-frequency generation are simultaneously quasi-phase-matched. We find the conditions for a transition to Hamiltonian chaos for different amplitudes of lightwaves at the crystal boundary. (C) 2002 MAIK "Nauka/ Interperiodica".
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Kusmartsev F. V.
Заглавие : Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 2002. - Vol. 305, Is. 5. - P281-288. - ISSN 0375-9601, DOI 10.1016/S0375-9601(02)01420-2
Примечания : Cited References: 60
Предметные рубрики: STRANGE NONCHAOTIC ATTRACTORS
DC VOLTAGE GENERATION
JOSEPHSON-JUNCTIONS
GAAS/ALAS SUPERLATTICE
BLOCH OSCILLATIONS
TERAHERTZ RADIATION
ELECTRIC-FIELD
THZ RADIATION
FREQUENCY
TRANSPORT
Ключевые слова (''Своб.индексиров.''): semiconductor superlattice--pendulum--chaos--phase-locking--josephson junction--chaos--josephson junction--pendulum--phase-locking--semiconductor superlattice--analytic method--analytical parameters--article--dynamics--electric potential--semiconductor--temperature
Аннотация: We describe a limiting case when nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum equations. We find analytically the conditions for a transition to chaos. With increasing temperature the chaos disappears. We also discuss fractional do voltage states in a superlattice originating from phase-locked states of the pendulum. (C) 2002 Elsevier Science B.V. All rights reserved.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Alekseeva N. V., Perina J.
Заглавие : Quantum-classical correspondence and nonclassical state generation in dissipative quantum optical systems
Место публикации : J. Exp. Theor. Phys.: AMER INST PHYSICS, 2000. - Vol. 90, Is. 4. - P592-599. - ISSN 1063-7761, DOI 10.1134/1.559142
Примечания : Cited References: 32
Предметные рубрики: 2ND-HARMONIC GENERATION
STATISTICAL PROPERTIES
HARMONIC-GENERATION
SQUEEZED STATES
CHAOS
LIGHT
NONLINEARITIES
INSTABILITIES
DYNAMICS
ATOMS
Аннотация: We develop a semiclassical method to determine the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N; it is based on the 1/N-expansion and the quantum-classical correspondence. The method is used to tackle two problems: the study of the dynamics of nonclassical state generation in higher order anharmonic dissipative oscillators and the establishment of the difference between the quantum and classical dynamics of the second-harmonic generation in a self-pulsing regime. In addressing the first problem, we obtain an explicit time dependence of the squeezing and the Fano factor for an arbitrary degree of anharmonism in the short-time approximation. For the second problem, we analytically find a characteristic time scale at which the quantum dynamics differs insignificantly from the classical one. (C) 2000 MAIK "Nauka/Interperiodica".
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Priimak D. S.
Заглавие : Squeezed states and quantum chaos
Место публикации : J. Exp. Theor. Phys.: AMER INST PHYSICS, 1998. - Vol. 86, Is. 1. - P61-70. - ISSN 1063-7761, DOI 10.1134/1.558469
Примечания : Cited References: 41
Предметные рубрики: PERIODICALLY KICKED PENDULUM
CLASSICAL CORRESPONDENCE
SYSTEMS
LIGHT
FLUCTUATIONS
OSCILLATOR
MECHANICS
MASER
Аннотация: We examine the dynamics of a wave packet that initially corresponds to a coherent state in the model of a quantum rotator excited by a periodic sequence of kicks. This model is the main model of quantum chaos and allows for a transition from regular behavior to chaotic in the classical limit. By doing a numerical experiment we study the generation of squeezed states in quasiclassical conditions and in a time interval when quantum-classical correspondence is well-defined. We find that the degree of squeezing depends on the degree of local instability in the system and increases with the Chirikov classical stochasticity parameter. We also discuss the dependence of the degree of squeezing on the initial width of the packet, the problem of stability and observability of squeezed states in the transition to quantum chaos, and the dynamics of disintegration of wave packets in quantum chaos. (C) 1998 American Institute of Physics.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Perina J.
Заглавие : The 1/N-expansion, quantum-classical correspondence and nonclassical states generation in dissipative higher-order anharmonic oscillators
Место публикации : Phys. Scr.: ROYAL SWEDISH ACAD SCIENCES, 2000. - Vol. 61, Is. 1. - P7-16. - ISSN 0281-1847, DOI 10.1238/Physica.Regular.061a00007
Примечания : Cited References: 38
Предметные рубрики: 2ND-HARMONIC GENERATION
HARMONIC-GENERATION
SQUEEZED STATES
CHAOS
LIGHT
MECHANICS
DYNAMICS
STATISTICS
SYSTEMS
OPTICS
Аннотация: We develop a method for the determination of the dynamics of dissipative quantum systems in the limit of large number of quanta N, based on the 1/N-expansion of Heidmann et al. [Opt. Commun. 54, 189 (1985)] and the quantum-classical correspondence. Using this method, we End analytically the dynamics of nonclassical states generation in the higher-order anharmonic dissipative oscillators for an arbitrary temperature of a reservoir. We show that the quantum correction to the classical motion increases with time quadratically up to some maximal value, which is dependent on the degree of nonlinearity and a damping constant, and then it decreases. Similarities and differences with the corresponding behavior of the quantum corrections to the classical motion in the Hamiltonian chaotic systems are discussed. We also compare our results obtained for some limiting cases with the results obtained by using other semiclassical tools and discuss the conditions for validity of our approach.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseyev K. N., Berman G. P.
Заглавие : Dynamic chaos under the action of external monochromatic radiation on a 2-level medium with allowance for cooperative effects
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz. - 1987. - Vol. 92, Is. 6. - P.1985-1994. - ISSN 0044-4510
Примечания : Cited References: 29
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Belobrov P. I., Tretyakov A. G., Zaslavsky G. M.
Заглавие : Methods of nonlinear dynamics and equilibrium structures of magnetoelastic chains
Разночтения заглавия :авие SCOPUS: Methods of nonlinear dynamics and equilibrium structures of magnetoelastic chains
Место публикации : J. Stat. Phys. - 1985. - Vol. 38, Is. 1-2. - P.393-404. - ISSN 0022-4715, DOI 10.1007/BF01017869
Примечания : Cited References: 22
Ключевые слова (''Своб.индексиров.''): chaos--incommensurate structure--magnetoelastic interaction--nonlinear resonance
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Beloshapkin V. V., Zaslavsky G. M.
Заглавие : On the spectral properties of dynamical-systems in the transition region from order to chaos
Место публикации : Phys. Lett. A. - 1983. - Vol. 97, Is. 4. - P.121-124. - ISSN 0375-9601, DOI 10.1016/0375-9601(83)90191-3
Примечания : Cited References: 13
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berggren K. F., Sadreev A. F., Starikov A. A.
Заглавие : Crossover from regular to irregular behavior in current flow through open billiards
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2002. - Vol. 66, Is. 1. - Ст.16218. - ISSN 1539-3755, DOI 10.1103/PhysRevE.66.016218
Примечания : Cited References: 36
Предметные рубрики: PHASE SINGULARITIES
NODAL POINTS
WAVE-FIELDS
QUANTUM
STREAMLINES
CONDUCTANCE
VORTICES
CHAOS
Ключевые слова (''Своб.индексиров.''): eigenvalues and eigenfunctions--mathematical models--networks (circuits)--random processes--resonance--signal processing--spurious signal noise--bursting time series--coherence resonance--power spectrum--stochastic resonance--chaos theory
Аннотация: We discuss signatures of quantum chaos in terms of distributions of nodal points, saddle points, and streamlines for coherent electron transport through two-dimensional billiards, which are either nominally integrable or chaotic. As typical examples of the two cases we select rectangular and Sinai billiards. We have numerically evaluted distribution functions for nearest distances between nodal points and found that there is a generic form for open chaotic billiards through which a net current is passed. We have also evaluated the distribution functions for nodal points with specific vorticity (winding number) as well as for saddle points. The distributions may be used as signatures of quantum chaos in open systems. All distributions are well reproduced using random complex linear combinations of nearly monochromatic states in nominally closed billiards. In the case of rectangular billiards with simple sharp-cornered leads the distributions have characteristic features related to order among the nodal points. A flaring or rounding of the contact regions may, however, induce a crossover to nodal point distributions and current flow typical for quantum chaos. For an irregular arrangement of nodal points, as for example in the Sinai billiard, the quantum flow lines become very complex and volatile, recalling chaos among classical trajectories. Similarities with percolation are pointed out.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Kolovsky A. R.
Заглавие : Quantum chaos in a diatomic molecule interacting with a resonant field
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz. - 1989. - Vol. 95, Is. 5. - P.1553-1561. - ISSN 0044-4510
Примечания : Cited References: 10
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Kolovskii A. R.
Заглавие : Quantum chaos in interactions of multilevel quantum-systems with a coherent radiation-field
Место публикации : Uspekhi Fiz. Nauk. - 1992. - Vol. 162, Is. 4. - P.95-141. - ISSN 0042-1294
Примечания : Cited References: 36
Предметные рубрики: QUASIENERGY FUNCTIONS
RESONANCES
BEHAVIOR
OVERLAP
Аннотация: The paper is short review of the papers devoted to the dynamics of the multilevel quantum systems affected by the external periodic field. The main attention is paid to the phenomenon of the quantum nonlinear resonance and the interaction of the two quantum nonlinear resonances, when the dynamics of the system is chaotic in the classical limit. The paper also contains the analysis of some physical systems where these phenomena take place. 30 figs. 37 refs.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Iomin A. M.
Заглавие : Structural order ND chaos in a one-dimensional quantum atomic chain
Место публикации : Phys. Lett. A. - 1985. - Vol. 107, Is. 7. - P.324-328. - ISSN 0375-9601, DOI 10.1016/0375-9601(85)90646-2
Примечания : Cited References: 22
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Maksimov D. N., Sadreev A. F.
Заглавие : Electric circuit networks equivalent to chaotic quantum billiards
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2005. - Vol. 71, Is. 4. - Ст.46205. - ISSN 1063-651X, DOI 10.1103/PhysRevE.71.046205
Примечания : Cited References: 31
Предметные рубрики: TIME-REVERSAL SYMMETRY
CONDUCTANCE FLUCTUATIONS
STATISTICS
SYSTEMS
EIGENFUNCTIONS
DOTS
Ключевые слова (''Своб.индексиров.''): chaotic quantum billiards--electric resonance circuits (erc)--resonance networks--wave functions--boundary conditions--capacitors--chaos theory--eigenvalues and eigenfunctions--electric inductors--natural frequencies--quantum theory--resonance--statistical mechanics--networks (circuits)
Аннотация: We consider two electric RLC resonance networks that are equivalent to quantum billiards. In a network of inductors grounded by capacitors, the eigenvalues of the quantum billiard correspond to the squared resonant frequencies. In a network of capacitors grounded by inductors, the eigenvalues of the billiard are given by the inverse of the squared resonant frequencies. In both cases, the local voltages play the role of the wave function of the quantum billiard. However, unlike for quantum billiards, there is a heat power because of the resistance of the inductors. In the equivalent chaotic billiards, we derive a distribution of the heat power which describes well the numerical statistics.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Rectangular microwave resonators with magnetic anisotropy. Mapping onto pseudointegrable rhombus
Место публикации : Europhys. Lett. - 2002. - Vol. 57, Is. 2. - P.198-204. - ISSN 0295-5075, DOI 10.1209/epl/i2002-00561-8
Примечания : Cited References: 24
Предметные рубрики: TIME-REVERSAL SYMMETRY
SPECTRAL STATISTICS
STADIUM BILLIARD
EIGENFUNCTIONS
SYSTEMS
CHAOS
Аннотация: A rectangular microwave resonator filled with ferrite with uniaxial magnetic anisotropy is considered. It is shown that this task can be reduced to an empty rhombus resonator with the vertex angle defined by an external magnetic field, provided that the magnetic anisotropy of the ferrite is strong. Therefore, the statistics of eigenfrequencies for TM modes is described by the Brody or semi-Poisson distribution with some exceptional cases.
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Statistics of wave functions and currents induced by spin-orbit interaction in chaotic billiards
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2004. - Vol. 70, Is. 5. - Ст.56211. - ISSN 1539-3755, DOI 10.1103/PhysRevE.70.056211
Примечания : Cited References: 33
Предметные рубрики: HELMHOLTZ-EQUATION
PERSISTENT CURRENTS
ELECTRON-GAS
RINGS
EIGENFUNCTIONS
SYSTEMS
PHASE
Ключевые слова (''Своб.индексиров.''): approximation theory--chaos theory--degrees of freedom (mechanics)--eigenvalues and eigenfunctions--electric field effects--electric potential--electron gas--hamiltonians--heterojunctions--microwaves--statistical methods--chaotic robnik billiards--current distributions--spin-orbit interaction (soi)--wave functions--quantum theory
Аннотация: We show that the wave function and current statistics in chaotic Robnik billiards crucially depend on the constant of the spin-orbit interaction (SOI). For small constant the current statistics is described by universal current distributions derived for slightly opened chaotic billiards [Saichev et al. J. Phys. A. 35, L87 (2002)] although one of the components of the spinor eigenfunctions is not universal. For strong SOI both components of the spinor eigenstate are complex random Gaussian fields. This observation allows us to derive the distributions of spin-orbit persistent cut-rents which well describe numerical statistics. For intermediate values of the statistics of the eigenstates and currents, both are deeply nonuniversal.
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bychek A. A., Muraev, Pavel S., Kolovsky A. R.
Заглавие : Probing quantum chaos in many-body quantum systems by the induced dissipation
Коллективы : Russian Science Foundation [N19-12-00167]
Место публикации : Phys. Rev. A. - 2019. - Vol. 100, Is. 1. - Ст.013610. - ISSN 2469-9926, DOI 10.1103/PhysRevA.100.013610. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 29. - This work has been supported through Russian Science Foundation Grant N19-12-00167. The authors are grateful to D. N. Maksimov for stimulating discussions.
Аннотация: We theoretically analyze the depletion dynamics of an ensemble of cold atoms in a quasi-one-dimensional optical lattice where atoms in one of the lattice sites are subject to decay. Unlike the previous studies of this problem in Labouvie et al., Phys. Rev. Lett. 116, 235302 (2016), we focus on the case where the system is brought to the chaotic regime, which crucially modifies the depletion dynamics as compared to the regular case. It is shown that depletion of the affected site results in gradual depletion of the neighboring sites according to the t1/3 scaling law. We also show that by measuring occupations of the lattice sites one can extract important information on chaotic dynamics of the original conservative system.
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Mendez-Bermudez J. A., Luna-Acosta G. A., Seba P., Pichugin K. N.
Заглавие : Chaotic waveguide-based resonators for microlasers
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2003. - Vol. 67, Is. 16. - Ст.161104. - ISSN 1098-0121, DOI 10.1103/PhysRevB.67.161104
Примечания : Cited References: 33
Предметные рубрики: QUANTUM-CLASSICAL CORRESPONDENCE
MORPHOLOGY-DEPENDENT RESONANCES
DIRECTIONAL EMISSION
OPTICAL CAVITIES
MICRODISK LASERS
WAVE CHAOS
DROPLETS
PRECESSION
BILLIARDS
STATES
Аннотация: We propose the construction of highly directional emission microlasers using two-dimensional high-index semiconductor waveguides as open resonators. The prototype waveguide is formed by two collinear leads connected to a cavity of certain shape. The proposed lasing mechanism requires that the shape of the cavity yield mixed chaotic ray dynamics so as to have the approplate (phase space) resonance islands. These islands allow, via Heisenberg's uncertainty principle, the appearance of quasibound states (QBSs) which, in turn, propitiate the lasing mechanism. The energy values of the QBSs are found through the solution of the Helmholtz equation. We use classical ray dynamics to predict the direction and intensity of the lasing produced by such open resonators for typical values of the index of refraction.
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