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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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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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Stationary response of a multilevel quantum system in the regime of quantum chaos
Место публикации : Phys. Lett. A. - 1990. - Vol. 148, Is. 1-2. - P.72-77. - ISSN 0375-9601, DOI 10.1016/0375-9601(90)90579-D
Примечания : Cited References: 19
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Berman G. P., Campbell D. K., Cannon E. H., Cargo M. C.
Заглавие : Dissipative chaos in semiconductor superlattices
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1996. - Vol. 54, Is. 15. - P10625-10636. - ISSN 0163-1829, DOI 10.1103/PhysRevB.54.10625
Примечания : Cited References: 89
Предметные рубрики: NEGATIVE DIFFERENTIAL CONDUCTIVITY
INJECTED SIGNAL
BLOCH OSCILLATIONS
COLLECTIVE EXCITATIONS
DETERMINISTIC CHAOS
MINIBAND TRANSPORT
SURFACE-PLASMONS
TIME-SERIES
LASER
VELOCITY
Аннотация: We consider the motion of ballistic electrons in a miniband of a semiconductor superlattice (SSL) under the influence of an external, time-periodic electric field. We use a semiclassical, balance-equation approach, which incorporates elastic and inelastic scattering (as dissipation) and the self-consistent field generated by the electron motion. The coupling of electrons in the miniband to the self-consistent held produces a cooperative nonlinear oscillatory mode which, when interacting with the oscillatory external field and the intrinsic Bloch-type oscillatory mode, can lead to complicated dynamics, including dissipative chaos. For a range of values of the dissipation parameters we determine the regions in the amplitude-frequency plane of the external field in which chaos can occur. Our results suggest that for terahertz external fields of the amplitudes achieved by present-day free-electron lasers, chaos may be observable in SSL's. We clarify the nature of this interesting nonlinear dynamics in the superlattice-external-field system by exploring analogies to the Dicke model of an ensemble of two-level atoms coupled with a resonant cavity field, and to Josephson junctions.
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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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Vlasova O. F., Zaslavsky G. M.
Заглавие : Dissipation effect on chaos onset in a 2-resonance overlap case
Место публикации : Phys. Lett. A. - 1983. - Vol. 99, Is. 9. - P.405-410. - ISSN 0375-9601, DOI 10.1016/0375-9601(83)90943-X
Примечания : Cited References: 9
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : BERMAN G., Bulgakov E. N., HOLM D., KLUGER Y.
Заглавие : DYNAMICAL CHAOS IN SU(2) CIRCLE-TIMES-U (1) THEORY
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 1994. - Vol. 194, Is. 4. - P251-264. - ISSN 0375-9601, DOI 10.1016/0375-9601(94)91247-5
Примечания : Cited References: 26
Предметные рубрики: GAUGE-THEORY
SYSTEMS
FIELDS
Аннотация: We study the dynamics of the classical homogeneous SU(2) x U(1) gauge theory in the spontaneously broken phase. A transition from regular to chaotic dynamics is shown to occur for energy densities epsilon 0.3m(w)2/G(F) almost-equal-to 2 x 10(10) GeV/fm3. The regular regime is characterized by a sharp frequency spectrum for the Yang-Mills fields. The frequency spectrum in the chaotic regime is continuous and the sharp frequency lines of the regular regime are dispersed. In the early universe or at high energy densities in a Yang-Mills plasma this transition may have observable effects that can be studied by analyzing the frequency spectrum and the time correlation functions. In the chaotic regime these time correlation functions decay considerably faster than in the regular regime.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Cannon E. H., McKinney J. C., Kusmartsev F. V., Campbell D. K.
Заглавие : Spontaneous dc current generation in a resistively shunted semiconductor superlattice driven by a terahertz field
Место публикации : Phys. Rev. Lett.: AMERICAN PHYSICAL SOC, 1998. - Vol. 80, Is. 12. - P2669-2672. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.80.2669
Примечания : Cited References: 21
Предметные рубрики: DYNAMIC LOCALIZATION
BLOCH OSCILLATIONS
ELECTRIC-FIELD
THZ-FIELD
PENDULUM
CHAOS
TIME
SUPPRESSION
SYSTEMS
Аннотация: We study a resistively shunted semiconductor superlattice subject to a high-frequency electric field. Using a balance equation approach that incorporates the influence of the electric circuit, we determine numerically a range of amplitude and frequency of the ac field for which a de bias and current are generated spontaneously and show that this region is likely accessible to current experiments. Our simulations reveal that the Bloch frequency corresponding to the spontaneous de bias is approximately an integer multiple of the ac field frequency.
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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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Bloch particle in the presence of dc and ac fields
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 1998. - Vol. 249, Is. 5-6. - P483-488. - ISSN 0375-9601, DOI 10.1016/S0375-9601(98)00763-4
Примечания : Cited References: 21
Предметные рубрики: DYNAMIC LOCALIZATION
ELECTRONS
ATOMS
Ключевые слова (''Своб.индексиров.''): wannier-bloch states--quantum chaos
Аннотация: In this Letter we study the metastable states of a Bloch particle in the presence of external ac and de fields. For the resonance condition between the period of the driving frequency and the Bloch period, the complex quasi-energies are numerically calculated for two qualitatively different regimes (quasi-regular and chaotic) of the system dynamics. For the chaotic regime an effect of quantum stabilization, which suppresses the classical decay mechanism, is found. This effect is demonstrated to be a kind of quantum phenomenon sensitive to the resonance condition. (C) 1998 Elsevier Science B.V.
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11.

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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12.

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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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Relativistic chaos for an electron in a standing microwave field
Место публикации : Europhys. Lett. - 1998. - Vol. 41, Is. 3. - P.257-260. - ISSN 0295-5075, DOI 10.1209/epl/i1998-00139-0
Примечания : Cited References: 9
Предметные рубрики: BEAM
Аннотация: We study the dynamics of an electron in a standing wave of a microwave field. For large field amplitude the system undergoes a transition to a chaotic regime which is shown to be entirely related with the transition to relativistic dynamics. A possible laboratory experiment is shortly discussed.
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14.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Korets A.Ya., Krylov A.S., Mironov E.V.
Заглавие : Structural heterogeneity detonation diamond-containing mate rial
Коллективы : Chaotic modeling and Simulation International Conference
Место публикации : 3rd Chaotic modeling and Simulation International Conference: CHAOS 2010. - 2010. - С. 34
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Shepelyansky, Dima L.
Заглавие : Evaporative Cooling and Self-Thermalization in an Open System of Interacting Fermions
Коллективы : Programme Investissements d'AvenirFrench National Research Agency (ANR) [ANR-11-IDEX-0002-02, ANR-10-LABX-0037-NEXT]; Russian Science FoundationRussian Science Foundation (RSF) [N19-12-00167]
Место публикации : Ann. Phys.-Berlin. - 2019. - Vol. 531, Is. 12. - Ст.1900231. - ISSN 0003-3804, DOI 10.1002/andp.201900231. - ISSN 1521-3889(eISSN)
Примечания : Cited References: 24. - For D.L.S. this work was supported in part by the Programme Investissements d'Avenir ANR-11-IDEX-0002-02, reference ANR-10-LABX-0037-NEXT (project THETRACOM). For A.R.K. this work was supported in part by Russian Science Foundation through the grant N19-12-00167.
Предметные рубрики: QUANTUM CHAOS
DISTRIBUTIONS
STATISTICS
Аннотация: Depletion dynamics of an open system of weakly interacting fermions with two-body random interactions is studied. In this model, fermions are escaping from the high-energy one-particle orbitals, that mimics the evaporation process used in laboratory experiments with neutral atoms to cool them to ultra-low temperatures. It is shown that due to self-thermalization the system instantaneously adjusts to the new temperature which decreases with the course of time.
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16.

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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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Muraev P. S., Maksimov D. N., Kolovsky A. R.
Заглавие : Signatures of quantum chaos and fermionization in the incoherent transport of bosonic carriers in the Bose-Hubbard chain
Колич.характеристики :5 с
Место публикации : Phys. Rev. E. - 2024. - Vol. 109, Is. 3. - Ст.L032107. - ISSN 24700045 (ISSN), DOI 10.1103/PhysRevE.109.L032107. - ISSN 24700053 (eISSN)
Примечания : Cited References: 34. - The authors acknowledge financial support from the Ministry of Science and Higher Education of Russian Federation (Project No. FSRZ-2023-0006)
Аннотация: We analyze the stationary current of Bose particles across the Bose-Hubbard chain connected to a battery, focusing on the effect of interparticle interactions. It is shown that the current magnitude drastically decreases as the strength of interparticle interactions exceeds the critical value which marks the transition to quantum chaos in the Bose-Hubbard Hamiltonian. We found that this transition is well reflected in the nonequilibrium many-body density matrix of the system. Namely, the level-spacing distribution for eigenvalues of the density matrix changes from Poisson to Wigner-Dyson distributions. With the further increase of the interaction strength, the Wigner-Dyson spectrum statistics change back to the Poisson statistics which now marks fermionization of the Bose particles. With respect to the stationary current, this leads to the counter-intuitive dependence of the current magnitude on the particle number.
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Madronero J., Schlagheck P., Ponomarev A., Carvalho A.R.R., Viviescas C., Kolovsky A. R., Krug A., Buchleitner A., Wimberger S., Hornberger K.
Заглавие : Quantum Chaos, Transport, and Control-in Quantum Optics
Место публикации : Advances in Atomic, Molecular and Optical Physics: Academic Press, 2006. - Vol. 53. - P.33-73. - ISSN 1049-250X, DOI 10.1016/S1049-250X(06)53002-2
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bistability and chaos-assisted tunneling in dissipative quantum systems
Место публикации : Phys. Rev. E. - 2022. - Vol. 106, Is. 1. - Ст.014209. - ISSN 24700045 (ISSN), DOI 10.1103/PhysRevE.106.014209
Примечания : Cited References: 21. - The author acknowledges financial support from the Russian Science Foundation through Grant No. 19-12-00167
Аннотация: We revisit the problem of quantum bi- and multistability by considering the dissipative double resonance model. For a large driving frequency, this system has a simpler phase structure than the driven dissipative nonlinear oscillator, the paradigm model for classical and quantum bistability. This allows us to obtain an analytical estimate for the lifetime of quantum limit cycles. On the other hand, for a small driving frequency, the system is much richer than the nonlinear oscillator. This allows us to address a novel phenomenon of dissipation- and chaos-assisted tunneling between quantum limits cycles.
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Belobrov P. I., Beloshapkin V. V., Zaslavsky G. M., Tretyakov A. G.
Заглавие : Order and chaos in classical spin chain models
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz. - 1984. - Vol. 87, Is. 1. - P.310-322. - ISSN 0044-4510
Примечания : Cited References: 24
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