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Alekseev, K. N.
Light squeezing at the transition to quantum chaos / K. N. Alekseev, J. . Perina // Phys. Rev. E. - 1998. - Vol. 57, Is. 4. - P. 4023-4034, DOI 10.1103/PhysRevE.57.4023. - Cited References: 62 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
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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Держатели документа:
Abo Akad, Dept Phys, SF-20500 Turku, Finland
Russian Acad Sci, LV Kirensky Phys Inst, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Palacky Univ, Dept Opt, Olomouc 77207, Czech Republic
Palacky Univ, Joint Lab Opt, Olomouc 77207, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Perina, J.
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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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Alekseev, K. N.
Direct-current generation due to wave mixing in semiconductors / K. N. Alekseev, M. V. Erementchouk, F. V. Kusmartsev // Europhys. Lett. - 1999. - Vol. 47, Is. 5. - P. 595-600, DOI 10.1209/epl/i1999-00430-0. - Cited References: 34 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
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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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Loughborough Univ Technol, Sch Math & Phys Sci, Loughborough LE11 3TU, Leics, England
Russian Acad Sci, LD Landau Theoret Phys Inst, Chernogolovka 142432, Russia
ИФ СО РАН
Kirensky Institute of Physics, Russian Academy of Sciences, Krasnoyarsk 660036, Russian Federation
Sch. of Math. and Physical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom
Landau Inst. for Theoretical Physics, Russian Academy of Sciences, Moscow 142432, Russian Federation

Доп.точки доступа:
Erementchouk, M. V.; Kusmartsev, F. V.
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Spontaneous dc current generation in a resistively shunted semiconductor superlattice driven by a terahertz field / K. N. Alekseev [et al.] // Phys. Rev. Lett. - 1998. - Vol. 80, Is. 12. - P. 2669-2672, DOI 10.1103/PhysRevLett.80.2669. - Cited References: 21 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
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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Держатели документа:
Univ Illinois, Dept Phys, Urbana, IL 61801 USA
NORDITA, DK-2100 Copenhagen O, Denmark
LV Kirensky Phys Inst, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Loughborough Univ Technol, Dept Phys, Loughborough LE11 3TU, Leics, England
ИФ СО РАН

Доп.точки доступа:
Alekseev, K. N.; Cannon, E. H.; McKinney, J. C.; Kusmartsev, F. V.; Campbell, D. K.
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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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ALEKSEEV, K. N.
CHAOTIC DYNAMICS IN LIGHT IMPURITY CENTER INTERACTION / K. N. ALEKSEEV, N. V. ALEKSEEVA // Phys. Lett. A. - 1992. - Vol. 162, Is. 1. - P. 82-85, DOI 10.1016/0375-9601(92)90965-O. - Cited References: 26 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
QUANTUM OPTICS
CRYSTALS
Аннотация: Interaction of an impurity center in crystal with light and crystal lattice vibrations is considered. Conditions of the transition to Hamiltonian chaos have been obtained for the case of strong and resonant electron-phonon coupling.

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Держатели документа:
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia, Russian Federation
ИФ СО РАН

Доп.точки доступа:
ALEKSEEVA, N. V.
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Alekseev, K. N.
Squeezed states and quantum chaos / K. N. Alekseev, D. S. Priimak // J. Exp. Theor. Phys. - 1998. - Vol. 86, Is. 1. - P. 61-70, DOI 10.1134/1.558469. - Cited References: 41 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
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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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Priimak, D. S.
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Alekseev, K. N.
The 1/N-expansion, quantum-classical correspondence and nonclassical states generation in dissipative higher-order anharmonic oscillators / K. N. Alekseev, J. . Perina // Phys. Scr. - 2000. - Vol. 61, Is. 1. - P. 7-16, DOI 10.1238/Physica.Regular.061a00007. - Cited References: 38 . - ISSN 0281-1847

РУБ Physics, Multidisciplinary
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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Держатели документа:
Palacky Univ, Dept Opt, Olomouc 77207, Czech Republic
Palacky Univ, Joint Lab Opt, Olomouc 77207, Czech Republic
Acad Sci Czech Republ, Dept Opt, Olomouc, Czech Republic
Acad Sci Czech Republ, Joint Lab Opt, Olomouc 77207, Czech Republic
Russian Acad Sci, Theory Nonlinear Proc Lab, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Perina, J.
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Alekseev, K. N.
Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices / K. N. Alekseev, F. V. Kusmartsev // Phys. Lett. A. - 2002. - Vol. 305, Is. 5. - P. 281-288, DOI 10.1016/S0375-9601(02)01420-2. - Cited References: 60 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
STRANGE NONCHAOTIC ATTRACTORS
   DC VOLTAGE GENERATION
   JOSEPHSON-JUNCTIONS
   GAAS/ALAS SUPERLATTICE
   BLOCH OSCILLATIONS
   TERAHERTZ RADIATION
   ELECTRIC-FIELD
   THZ RADIATION
   FREQUENCY
   TRANSPORT
Кл.слова (ненормированные):
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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Держатели документа:
Oulu Univ, Dept Phys Sci, FIN-90014 Oulu, Finland
LV Kirenskii Inst Phys, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Loughborough Univ Technol, Dept Phys, Loughborough LE11 3TU, Leics, England
ИФ СО РАН
Department of Physical Sciences, University of Oulu, P.O. Box 3000, FIN-90014, Oulu, Finland
Theory of Nonlin. Proc. Laboratory, Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom

Доп.точки доступа:
Kusmartsev, F. V.
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10.

Fractional and unquantized dc voltage generation in THz-driven semiconductor superlattices (vol 56, pg 842, 2001) / K. N. Alekseev [et al.] // Europhys. Lett. - 2004. - Vol. 68, Is. 5. - P. 753-753, DOI 10.1209/epl/i2004-10312-5. - Cited References: 1 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary

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Держатели документа:
Univ Oulu, Dept Phys Sci, Div Theoret Phys, FIN-90014 Oulu, Finland
LV Kirenskii Inst Phys, Theory Nonlinear Proc Lab, Krasnoyarsk 66036, Russia
Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
Loughborough Univ Technol, Dept Phys, Loughborough LE11 3TU, Leics, England
Boston Univ, Dept Elect & Comp Engn, Boston, MA 02215 USA
Boston Univ, Dept Phys, Boston, MA 02215 USA
ИФ СО РАН
Division of Theoretical Physics, Department of Physical Sciences, University of Oulu, Finland
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Krasnoyarsk 66036, Russian Federation
Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, United States
Department of Physics, Loughborough University, Loughborough, LE11 3TU, United Kingdom
Department of Electrical Engineering, Boston University, Boston, MA 02215, United States
Departmont of Physical Sciences, University of Oulu, FIN-90014, Finland
Доп.точки доступа:
Alekseev, K. N.; Cannon, E. H.; Kusmartsev, F. V.; Campbell, D. K.
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