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Alekseev, K. N.
Strange attractor in resonant tunneling / K. N. Alekseev, G. P. Berman, D. K. Campbell // Phys. Rev. B. - 1998. - Vol. 58, Is. 7. - P. 3954-3962, DOI 10.1103/PhysRevB.58.3954. - Cited References: 38 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
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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Держатели документа:
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
Univ Calif Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA
Univ Illinois, Dept Phys, Urbana, IL 61801 USA
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Campbell, D. K.
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Coherent carrier dynamics in semiconductor superlattices / E. . Diez [et al.] // Phys. Lett. A. - 1998. - Vol. 240, Is. 1-2. - P. 109-111, DOI 10.1016/S0375-9601(98)00023-1. - Cited References: 7 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
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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Держатели документа:
Univ Carlos III Madrid, GISC, Dept Matemat, E-28911 Madrid, Spain
Univ Vigo, Dept Tecnol Comunicac, E-36200 Vigo, Spain
Univ Complutense Madrid, GISC, Dept Fis Mat, E-28040 Madrid, Spain
Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
Univ Calif Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Diez, E.; Gomez-Alcala, R.; Dominguez-Adame, F.; Sanchez, A.; Berman, G. P.
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Quantum nonlinear resonance and quantum chaos in Aharonov-Bohm oscillations in mesoscopic semiconductor rings / G. P. Berman [et al.] // Phys. Rev. B. - 1997. - Vol. 56, Is. 16. - P. 10338-10354, DOI 10.1103/PhysRevB.56.10338. - Cited References: 51 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
UKRAINIAN ACAD SCI,INST LOW TEMP PHYS & ENGN,UA-310164 KHARKOV,UKRAINE
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Campbell, D. K.; Krive, I. V.
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Phase transition in the one-dimensional quantum discrete phi(4)-phi(2) model / G. P. Berman [et al.] // Phys. Rev. B. - 1997. - Vol. 56, Is. 18. - P. 11518-11530, DOI 10.1103/PhysRevB.56.11518. - Cited References: 16 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Campbell, D. K.; Gubernatis, J. E.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Wang, X. D.
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Dynamics of a Control-Not gate for a quantum system of two weakly interacting spins / G. P. Berman [et al.] // Physica B. - 1997. - Vol. 240, Is. 1-2. - P. 61-67, DOI 10.1016/S0921-4526(97)00434-1. - Cited References: 15 . - ISSN 0921-4526

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,CNLS,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
UNIV GUADALAJARA,DEPT FIS,GUADALAJARA 44420,JALISCO,MEXICO
POLYTECH INST NEW YORK,METROTECH CTR 6,BROOKLYN,NY 11201
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Campbell, D. K.; Doolen, G. D.; Lopez, G. V.; Tsifrinovich, V. I.
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Berman, G. P.
Error correction for a spin quantum computer / G. P. Berman, D. K. Campbell, V. I. Tsifrinovich // Phys. Rev. B. - 1997. - Vol. 55, Is. 9. - P. 5929-5936, DOI 10.1103/PhysRevB.55.5929. - Cited References: 26 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
POLYTECH INST NEW YORK,DEPT APPL MATH & PHYS,BROOKLYN,NY 11201
ИФ СО РАН

Доп.точки доступа:
Campbell, D. K.; Tsifrinovich, V. I.
}
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Wigner function description of ac transport through a two-dimensional quantum point contact / I. E. Aronov [et al.] // J. Phys.: Condens. Matter. - 1997. - Vol. 9, Is. 24. - P. 5089-5103, DOI 10.1088/0953-8984/9/24/009. - Cited References: 45 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,CNLS,LOS ALAMOS,NM 87545
UKRAINIAN ACAD SCI,INST RADIOPHYS & ELECT,UA-310085 KHARKOV,UKRAINE
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
ИФ СО РАН
Theoretical Division, CNLS, Los Alamos National Laboratory, Los Alamos, NM 87545, United States
Inst. Radiophysics and Electronics, Natl. Academy of Sciences of Ukraine, 12 Acad Proskura Street, 310085, Kharkov, Ukraine
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Department of Physics, Univ. Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, IL 61801-3080, United States

Доп.точки доступа:
Aronov, I. E.; Berman, G. P.; Campbell, D. K.; Dudiy, S. V.
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Dissipative chaos in semiconductor superlattices / K. N. Alekseev [et al.] // Phys. Rev. B. - 1996. - Vol. 54, Is. 15. - P. 10625-10636, DOI 10.1103/PhysRevB.54.10625. - Cited References: 89 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
ИФ СО РАН

Доп.точки доступа:
Alekseev, K. N.; Berman, G. P.; Campbell, D. K.; Cannon, E. H.; Cargo, M. C.
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Resonant tunneling in time-periodically modulated semiconductor nanostructures / G. P. Berman [et al.] // Physica B. - 1996. - Vol. 225, Is. 1-2. - P. 1-22, DOI 10.1016/0921-4526(96)00233-5. - Cited References: 39 . - ISSN 0921-4526

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,CNLS,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,DEPT PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Берман, Геннадий Петрович; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Campbell, D. K.; Sadreev, A. F.; Садреев, Алмаз Фаттахович
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10.

Ramm, A. G.
Inverse problem for multiple-scattering fast charged-particles in a mesoscopic medium / A. G. Ramm, G. P. Berman // Phys. Rev. B. - 1995. - Vol. 51, Is. 4. - P. 2406-2409, DOI 10.1103/PhysRevB.51.2406. - Cited References: 11 . - ISSN 0163-1829

РУБ Physics, Condensed Matter

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Держатели документа:
LOS ALAMOS NATL LAB,DIV C3,LOS ALAMOS,NM 87545
LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,CTR RES & EDUC NONLINEAR PROC,KRASNOYARSK 660036,RUSSIA
KRASNOYARSK STATE UNIV,DEPT THEORET,KRASNOYARSK 660036,RUSSIA
ИФ СО РАН
Доп.точки доступа:
Berman, G. P.
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