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1.
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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,
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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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2.
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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3.
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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4.
Alekseev
, K. N.
Dynamic chaos in the interaction between light and impurity centers in a crystal [Preprint] : препринт. № 598Ф / K. N.
Alekseev
, G. P. Berman ; Акад. наук СССР [et al.]. - Красноярск : ИФ СО АН СССР, 1989. - 8 p. - Библиогр. - 180 экз.
Перевод заглавия:
Динамический хаос при взаимодействии света с примесными центрами в кристалле
Перевод заглавия:
Динамический хаос при взаимодействии света с примесными центрами в кристалле
Держатели документа:
ГУНБ Красноярского края
Доп.точки доступа:
Berman, G. P.; Берман, Геннадий Петрович; Алексеев, Кирилл Николаевич; Академия наук СССР; Сибирское отделение АН СССР; Институт физики им. Л.В. Киренского Сибирского отделения АН СССР
Свободных экз. нет
}
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5.
Fractional and unquantized
dc voltage generation in THz-driven semiconductor superlattices / K. N.
Alekseev
[et al.]> // Europhys. Lett. - 2001. -
Vol. 56
,
Is. 6
. - P. 842-848,
DOI
10.1209/epl/i2001-00596-9. - Cited References: 40 . - ISSN 0295-5075
РУБ
Physics, Multidisciplinary
Рубрики:
BLOCH OSCILLATIONS
SYMMETRY-BREAKING
ELECTRIC-FIELD
FREQUENCY
TRANSPORT
CHAOS
RESONANCES
RADIATION
Аннотация:
We consider the spontaneous creation of a dc voltage across a strongly coupled semiconductor superlattice subjected to THz radiation. We show that the dc voltage may be approximately proportional either to an integer or to a half-integer multiple of the frequency of the applied ac field, depending on the ratio of the characteristic scattering rates of conducting electrons. For the case of an ac field frequency less than the characteristic scattering rates, we demonstrate the generation of an unquantized dc voltage.
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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 660036, Russia
Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
Univ Loughborough, 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
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Krasnoyarsk 660036, 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
Depts. of Elec. and Comp. E., Boston University, Boston, MA 02215, United States
Доп.точки доступа:
Alekseev
, K. N.; Cannon, E. H.; Kusmartsev, F. V.; Campbell, D. K.
}
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6.
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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7.
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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8.
Multistability, absolute negative
conductivity and spontaneous current generation in semiconductor superlattices in large magnetic fields / E. H. Cannon [et al.]> //
Superlattices Microstruct. - 2000. -
Vol. 27
,
Is. 5-6
. - P. 495-498,
DOI
10.1006/spmi.2000.0866. - Cited References: 7 . - ISSN 0749-6036
РУБ
Physics, Condensed Matter
Рубрики:
TRANSPORT
Кл.слова (ненормированные):
superlattice
--
miniband transport
--
nonlinear transport
--
Current voltage characteristics
--
Electric conductivity
--
Electron transport properties
--
Magnetic field effects
--
Mathematical models
--
Multistable circuits
--
Balance equation models
--
Hot electrons
--
Miniband transport
--
Semiconductor superlattices
Аннотация:
We discuss electron transport through a semiconductor superlattice subject to an electric field parallel to, and a magnetic field perpendicular to, the growth axis using a semiclassical balance equation model. We find that the current-voltage characteristic becomes multistable in a large magnetic field; furthermore, hot electrons display novel features in their current-voltage characteristic, including absolute negative conductivity and a spontaneously generated de current at zero bias. (C) 2000 Academic Press.
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Держатели документа:
Univ Illinois, Dept Phys, Urbana, IL 61801 USA
Univ Loughborough, Dept Phys, Loughborough LE11 3TU, Leics, England
LV Kirensky Phys Inst, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
ИФ СО РАН
Department of Physics, Univ. Illinois at Urbana-Champaign, 1110 W. Green St., Urbana, IL 61801, United States
Department of Physics, Loughborough University, Loughborough, LE11 3TU, United Kingdom
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation
Доп.точки доступа:
Cannon, E. H.; Campbell, D. K.; Kusmartsev, F. V.;
Alekseev
, K. N.; International Workshop on Surgaces and Interfaces in Mesoscopic Devices(3 ; 1999 ; Dec. ; 6-10 ; Maui, Hawaii)
}
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9.
Alekseev
, K. N.
Optical chaos in nonlinear photonic crystals / K. N.
Alekseev
, A. V. Ponomarev> // JETP Letters. - 2002. -
Vol. 75
,
Is. 4
. - P. 174-178,
DOI
10.1134/1.1475717. - Cited References: 34 . - ISSN 0021-3640
РУБ
Physics, Multidisciplinary
Рубрики:
POLED LITHIUM-NIOBATE
3RD-HARMONIC GENERATION
WAVE-GUIDES
SUPERLATTICES
CHI((2))
Аннотация:
We examine the spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity, when a second harmonic and a sum-frequency generation are simultaneously quasi-phase-matched. We find the conditions for a transition to Hamiltonian chaos for different amplitudes of lightwaves at the crystal boundary. (C) 2002 MAIK "Nauka/ Interperiodica".
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Держатели документа:
Univ Oulu, Dept Phys Sci, FIN-90014 Oulu, Finland
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
Russian Acad Sci, LV Kirensky Phys Inst, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Krasnoyarsk State Univ, Dept Phys, Krasnoyarsk 660041, Russia
ИФ СО РАН
Max-Planck-Inst. Physik Komplexer S., D-01187 Dresden, Germany
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Department of Physics, Krasnoyarsk State University, Krasnoyarsk, 660041, Russian Federation
Доп.точки доступа:
Ponomarev, A. V.
}
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10.
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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11.
Alekseev
, K. N.
Quantum-classical correspondence and nonclassical state generation in dissipative quantum optical systems / K. N.
Alekseev
, N. V. Alekseeva, J. . Perina> // J. Exp. Theor. Phys. - 2000. -
Vol. 90
,
Is. 4
. - P. 592-599,
DOI
10.1134/1.559142. - Cited References: 32 . - ISSN 1063-7761
РУБ
Physics, Multidisciplinary
Рубрики:
2ND-HARMONIC GENERATION
STATISTICAL PROPERTIES
HARMONIC-GENERATION
SQUEEZED STATES
CHAOS
LIGHT
NONLINEARITIES
INSTABILITIES
DYNAMICS
ATOMS
Аннотация:
We develop a semiclassical method to determine the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N; it is based on the 1/N-expansion and the quantum-classical correspondence. The method is used to tackle two problems: the study of the dynamics of nonclassical state generation in higher order anharmonic dissipative oscillators and the establishment of the difference between the quantum and classical dynamics of the second-harmonic generation in a self-pulsing regime. In addressing the first problem, we obtain an explicit time dependence of the squeezing and the Fano factor for an arbitrary degree of anharmonism in the short-time approximation. For the second problem, we analytically find a characteristic time scale at which the quantum dynamics differs insignificantly from the classical one. (C) 2000 MAIK "Nauka/Interperiodica".
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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, 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:
Alekseeva, N. V.; Perina, J.
}
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12.
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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13.
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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14.
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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15.
Symmetry breaking in
a driven and strongly damped pendulum / J. . Isohatala [et al.]> // Phys. Rev. E. - 2005. -
Vol. 71
,
Is. 6
. - Ст. 66206,
DOI
10.1103/PhysRevE.71.066206. - Cited References: 37 . - ISSN 1539-3755
РУБ
Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
DC VOLTAGE GENERATION
SEMICONDUCTOR SUPERLATTICES
JOSEPHSON-JUNCTIONS
BLOCH OSCILLATIONS
FORCED PENDULUM
CHAOS
FREQUENCY
SYSTEMS
RECTIFICATION
STANDARD
Кл.слова (ненормированные):
Periodically driven pendulums
--
Symmetry breaking
--
Bifurcation (mathematics)
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Damping
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Dynamics
--
Nonlinear systems
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Semiconductor superlattices
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Pendulums
Аннотация:
We examine the conditions for appearance of a symmetry breaking bifurcation in damped and periodically driven pendulums in the case of strong damping. We show that symmetry breaking, unlike other nonlinear phenomena, can exist at high dissipation. We prove that symmetry breaking phases exist between phases of symmetric normal and symmetric inverted oscillations. We find that symmetry broken solutions occupy a smaller region of the pendulum's parameter space in comparison to the statements made in earlier considerations [McDonald and Plischke, Phys. Rev. B 27, 201 (1983)]. Our research on symmetry breaking in a strongly damped pendulum is relevant to an understanding of the phenomena of dynamic symmetry breaking and rectification in pure ac driven semiconductor superlattices.
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Держатели документа:
Univ Oulu, Dept Phys Sci, FIN-90014 Oulu, Finland
LV Kirenskii Inst Phys, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
ИФ СО РАН
Department of Physical Sciences, P. O. Box 3000, Oulu FIN-90014, Finland
Theory of Nonlinear Processes Laboratory, Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
Доп.точки доступа:
Isohatala, J.;
Alekseev
, K. N.; Kurki, L. T.; Pietilainen, P.
}
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16.
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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