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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Berman G. P., Campbell D. K.
Заглавие : Strange attractor in resonant tunneling
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1998. - Vol. 58, Is. 7. - P3954-3962. - ISSN 0163-1829, DOI 10.1103/PhysRevB.58.3954
Примечания : Cited References: 38
Предметные рубрики: INTRINSIC BISTABILITY
RING CAVITY
OPTICAL TURBULENCE
TRANSMITTED LIGHT
QUANTUM-WELLS
OSCILLATIONS
BARRIERS
SYSTEM
STATE
TIME
Аннотация: We consider the process of resonant electron tunneling through a double-barrier potential, taking into account nonlinear dynamical effects generated by charge accumulation in the interbarrier space. We use the perturbation approach of Davydov and Ermakov, which was developed for investigating intrinsic bistability in resonant tunneling. For incoming electron flow, which is modulated slowly in time, we show that the resulting nonlinear dynamics can become chaotic, with the chaos described (because of the open nature of the system) by a strange attractor. We determine the conditions for the existence of this strange attractor and estimate characteristic experimental parameters for its observation.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Diez E., Gomez-Alcala R., Dominguez-Adame F., Sanchez A., Berman G. P.
Заглавие : Coherent carrier dynamics in semiconductor superlattices
Место публикации : Phys. Lett. A. - 1998. - Vol. 240, Is. 1-2. - P.109-111. - ISSN 0375-9601, DOI 10.1016/S0375-9601(98)00023-1
Примечания : Cited References: 7
Предметные рубрики: RABI OSCILLATIONS
Аннотация: We investigate the coherent dynamics of carriers in semiconductor superlattices driven by ac-dc electric fields. We solve numerically the time-dependent effective-mass equation for the envelope function. We find that carriers undergo Rabi oscillations when the driving frequency is close to the separation between minibands. (C) 1998 Elsevier Science B.V.
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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) : Berman G. P., Bulgakov E. N., Campbell D. K., Gubernatis J. E., Sadreev A. F., Wang X. D.
Заглавие : Phase transition in the one-dimensional quantum discrete phi(4)-phi(2) model
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 56, Is. 18. - P11518-11530. - ISSN 0163-1829, DOI 10.1103/PhysRevB.56.11518
Примечания : Cited References: 16
Предметные рубрики: FRENKEL-KONTOROVA MODEL
FIELD-THEORY
GROUND-STATE
FLUCTUATIONS
Аннотация: We consider the ground-state phase transition from broken to restored phases of the one-dimensional quantum discrete phi(4)-phi(2) model as a function of two parameters: the strength of the quantum fluctuations (measured by a dimensionless Planck constant (h) over bar), and the classical dimensionless coupling parameter gamma, which characterizes the strength of interaction of the neighboring atoms. We introduce several distinct variational methods based on self-consistent phonons and soliton wave functions, and compare their predictions for the phase diagram with the (numerically exact) results of previous quantum Monte Carlo simulations. Our calculations show that in the region of weak coupling (gamma 1), both the ''tunneling soliton'' and the ''two-level'' approaches provide good approximations to the true result. In the intermediate coupling region (gamma(c) gamma 1), the method of self-consistent phonons gives a satisfactory description of phase transition. We also compare and contrast our results with previously published approximate methods, and discuss problems for further investigation. [S0163-1829(97)06242-5].
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Campbell D. K., Doolen G. D., Lopez G. V., Tsifrinovich V. I.
Заглавие : Dynamics of a Control-Not gate for a quantum system of two weakly interacting spins
Место публикации : Physica B. - 1997. - Vol. 240, Is. 1-2. - P.61-67. - ISSN 0921-4526, DOI 10.1016/S0921-4526(97)00434-1
Примечания : Cited References: 15
Предметные рубрики: COMPUTER
COMPUTATION
DECOHERENCE
Аннотация: We present the results of computer simulations of dynamics of the quantum Control-Not gate for the system of two spins connected by a weak Ising interaction. It is demonstrated that, for both ''digital'' and ''superposition'' initial conditions, a resonant pi-pulse can provide an adequate implementation of the quantum Contol-Not gate. We also consider the influence of slightly non-resonant pi-pulse and noise on the dynamics of the quantum Control-Not gate.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Campbell D. K., Tsifrinovich V. I.
Заглавие : Error correction for a spin quantum computer
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 55, Is. 9. - P5929-5936. - ISSN 0163-1829, DOI 10.1103/PhysRevB.55.5929
Примечания : Cited References: 26
Предметные рубрики: SYSTEMS
COMPUTATION
UNIVERSAL
DYNAMICS
LOGIC
Аннотация: The problems of error correction in a spin quantum computer are discussed. For digital processing in the Ising and Heisenberg chains driven by a resonant electromagnetic field, the simple schemes are suggested which provide correction of errors caused by imperfect pi pulses, and prevent the most significant errors caused by the nonresonant action of rr pulses. The probability of error caused by the Heisenberg interaction during the action of rr pulses is estimated. For quantum computations in spin systems a principal opportunity to correct the phase errors, based on Steane's three quantum-bits scheme, is described.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aronov I. E., Berman G. P., Campbell D. K., Dudiy S. V.
Заглавие : Wigner function description of ac transport through a two-dimensional quantum point contact
Разночтения заглавия :авие SCOPUS: Wigner function description of a.c. transport through a two-dimensional quantum point contact
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 1997. - Vol. 9, Is. 24. - P.5089-5103. - ISSN 0953-8984, DOI 10.1088/0953-8984/9/24/009
Примечания : Cited References: 45
Предметные рубрики: QUANTIZED CONDUCTANCE
BALLISTIC-RESISTANCE
CONSTRICTION
CAPACITANCE
ADMITTANCE
ELECTRONS
SYSTEMS
FIELD
PUMP
Аннотация: We have calculated the admittance of a two-dimensional quantum point contact (QPC) using a novel variant of the Wigner distribution function (WDF) formalism. In the semiclassical approximation, a Boltzmann-like equation is derived for the partial WDF describing both propagating and non-propagating electron modes in an effective potential generated by the adiabatic QPC. We show that this quantum kinetic approach leads to the well known stepwise behaviour of the real part of the admittance (the conductance), and of the imaginary part of the admittance (the emittance), in agreement with the latest results derived by Christen and Buttiker, which is determined by the number of propagating electron modes. It is shown that the emittance is sensitive to the geometry of the QPC, and can be controlled by the gate voltage. We have established that the emittance has contributions corresponding to both quantum inductance and quantum capacitance. Stepwise oscillations in the quantum inductance are determined by the harmonic mean of the velocities for the propagating modes, whereas the quantum capacitance is a significant mesoscopic manifestation of the nonpropagating (reflecting) modes.
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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) : 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ramm A. G., Berman G. P.
Заглавие : Inverse problem for multiple-scattering fast charged-particles in a mesoscopic medium
Место публикации : Phys. Rev. B. - 1995. - Vol. 51, Is. 4. - P.2406-2409. - ISSN 0163-1829, DOI 10.1103/PhysRevB.51.2406
Примечания : Cited References: 11
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martin T., Berman G. P.
Заглавие : Switching nano-device based on rabi oscillations
Место публикации : Phys. Lett. A. - 1994. - Vol. 196, Is. 1-2. - P.65-69. - ISSN 0375-9601, DOI 10.1016/0375-9601(94)91045-6
Примечания : Cited References: 5
Аннотация: We describe a switching device based on Rabi oscillations. The device consists of a well region separated from a free region by a potential barrier. The potential landscape is adjusted so that one bound state and one quasi level are present. By applying a microwave field with a driving frequency close to the separation between the two levels, a particle initially in the ground state can be activated to the quasi-level, and subsequently tunnel to the free region. The probability for tunneling in the free region exhibits a plateau structure, as the wave function is emitted by bursts after each Rabi oscillation. The leakage current can then be controlled by varying the amplitude of the external field, the barrier height/width, and the frequency mismatch.
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12.

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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13.

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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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Beloshapkin V. V., Berman G. P., Seredkin V. A., Tretyakov A. G., Frolov G. I., Tsybina Z. B.
Заглавие : Structure formation and thermomagnetic recording in 2-dimensional magnetic systems
Место публикации : Fiz. Tverd. Tela. - 1991. - Vol. 33, Is. 9. - P.2554-2560. - ISSN 0367-3294
Примечания : Cited References: 12
Предметные рубрики: THIN-FILMS
TRANSITION
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Белошапкин, Валерий Васильевич, Берман, Геннадий Петрович, Третьяков, Александр Григорьевич, Штуккерт Е. В.
Заглавие : Статические свойства и спектр малых колебаний 2π-солитонов дискретного двойного уравнения синус-Гордон
Место публикации : Журн. эксперим. и теор. физ. - 1991. - Т. 100, Вып. 4. - С. 1238-1245. - ISSN 0044-4510
Примечания : Sov. Phys. JETP, 1991. - Т. 73, № 4. - P. 683-688
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseyev K. N., Berman G. P., Tsifrinovich V. I.
Заглавие : Chaotic dynamics in nuclear-magnetic-resonance
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz. - 1990. - Vol. 97, Is. 4. - P.1277-1287. - ISSN 0044-4510
Примечания : Cited References: 21
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17.

Вид документа : Однотомное издание
Шифр издания : В31/А 47 рукописный текст
Автор(ы) : Алексеев, Кирилл Николаевич
Заглавие : Динамический хаос в полуклассических системах : дис. на соиск. уч. степени канд. физ.-мат. наук : 01.04.03
Выходные данные : Красноярск, 1990
Колич.характеристики :124 с
Коллективы : Академия наук СССР, Сибирское отделение АН СССР, Институт физики им. Л.В. Киренского Сибирского отделения АН СССР
ГРНТИ : 29.05
ББК : В314.4я031 + В381я031
Экземпляры :ДС(1)
Свободны : ДС(1)
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18.

Вид документа : Однотомное издание
Шифр издания : В37 рукописный текст
Автор(ы) : Смык, Александра Федоровна
Заглавие : Магнитостатические колебания и волны в ромбоэдрическом слабом ферромагнетике FeBO3 : автореф. дис. на соиск. уч. степени канд. физ.-мат. наук : 01.04.11
Выходные данные : Красноярск, 1989
Колич.характеристики :16 с
Коллективы : Академия наук СССР, Сибирское отделение АН СССР, Институт физики им. Л.В. Киренского Сибирского отделения АН СССР, Институт радиотехники и электроники АН СССР
Примечания : Библиогр.
ГРНТИ : 29.19.39 + 29.19.37
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19.

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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20.

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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