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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) : 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) : 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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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) : 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) : 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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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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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) : 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Drokin N. A., Ganiev S. M.
Заглавие : Static and dynamic characteristics of the bulk and contact electric resistivity in CDCR2SE4 under stochastic current instability
Место публикации : Fiz. Tverd. Tela. - 1992. - Vol. 34, Is. 7. - P.2122-2128. - ISSN 0367-3294
Примечания : Cited References: 21
Предметные рубрики: OSCILLATIONS
CHAOS
GE
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseyev K. N., Berman G. P., Tsifrinovich V. I., Frishman A. M.
Заглавие : Dynamic chaos in magnetic systems
Место публикации : Uspekhi Fiz. Nauk. - 1992. - Vol. 162, Is. 7. - P.81-118. - ISSN 0042-1294
Примечания : Cited References: 99
Предметные рубрики: CLASSICAL SPIN CLUSTERS
YTTRIUM-IRON-GARNET
PARALLEL-PUMPED MAGNONS
NON-LINEAR SYSTEMS
QUANTUM CHAOS
FAT FRACTALS
FERROMAGNETIC (CH3NH3)2CUCL4
NONLINEAR DYNAMICS
LEVEL REPULSION
KICKED TOP
Аннотация: A review of the theoretical and experimental investigations of chaos in magnetic systems is represented. Both dissipative and Hamiltonian systems are considered. Basic scenarios of transitions to chaos in such systems are overlooked. Models and characteristics of chaotic oscillations in a parametric excitation of spin waves. NMR-masers, dynamics of spin chains, motion of spin in an external oscillating magnetic field and nonlinear NMR with a dynamic frequency shift are discussed. A problem of the quantum chaos in spin systems is analysed.
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12.

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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13.

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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14.

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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15.

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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16.

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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17.

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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18.

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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19.

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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20.

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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