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Maksimov, D. N.
Gaussian random waves in elastic media / D. N. Maksimov, A. F. Sadreev // JETP Letters. - 2007. - Vol. 86, Is. 9. - P. 584-588, DOI 10.1134/S0021364007210060. - Cited References: 22 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
STATISTICAL PROPERTIES
SPECTRAL STATISTICS
CHAOS
Аннотация: Similar to the Berry conjecture of quantum chaos, an elastic analogue which incorporates longitudinal and transverse elastic displacements with corresponding wave vectors is considered. The correlation functions are derived for the amplitudes and intensities of elastic displacements. A comparison to the numerics in a quarter-Bunimovich stadium demonstrates excellent agreement.

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Держатели документа:
[Maksimov, D. N.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
[Sadreev, A. F.] Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Department of Physics and Measurement Technology, Linkoping University, SE-581 83 Linkoping, Sweden

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Максимов, Дмитрий Николаевич
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Kolovsky, A. R.
Semiclassical analysis of the Bogoliubov spectrum in the Bose-Hubbard model / A. R. Kolovsky // Phys. Rev. E. - 2007. - Vol. 76, Is. 2. - Ст. 26207, DOI 10.1103/PhysRevE.76.026207. - Cited References: 19 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
SELF-TRAPPING EQUATION
CHAOS
Кл.слова (ненормированные):
Electron energy levels -- Spectrum analysis -- Bogoliubov spectrum -- Bose Hubbard models -- Excitation dynamics -- Finite size effects -- Elementary particles
Аннотация: We analyze the Bogoliubov spectrum of the Bose-Hubbard model with a finite number of sites and Bose particles by using a semiclassical approach. This approach allows us to take into account the finite-size effects responsible for evolution of the Bogoliubov spectrum into an irregular (chaotic) spectrum at higher energies. A manifestation of this transition for the excitation dynamics of the Bose-Hubbard system is discussed as well.

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

Доп.точки доступа:
Коловский, Андрей Радиевич
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Kolovsky, A. R.
Semiclassical quantization of the Bogoliubov spectrum / A. R. Kolovsky // Phys. Rev. Lett. - 2007. - Vol. 99, Is. 2. - Ст. 20401, DOI 10.1103/PhysRevLett.99.020401. - Cited References: 14 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:
SELF-TRAPPING EQUATION
CHAOS
Кл.слова (ненормированные):
Chaotic systems -- High energy physics -- Mathematical models -- Spectrum analysis -- Bogoliubov spectrum -- Semiclassical quantization -- Bose-Einstein condensation
Аннотация: We analyze the Bogoliubov spectrum of the three-site Bose-Hubbard model with a finite number of Bose particles by using a semiclassical approach. The Bogoliubov spectrum is shown to be associated with the low-energy regular component of the classical Hubbard model. We identify the full set of the integrals of motion of this regular component and, quantizing them, obtain the energy levels of the quantum system. The critical values of the energy, above which the regular Bogoliubov spectrum evolves into a chaotic spectrum, is indicated as well.

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

Доп.точки доступа:
Коловский, Андрей Радиевич
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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) -- Damping -- Dynamics -- Nonlinear systems -- Semiconductor superlattices -- 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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Sadreev, A. F.
Current statistics for wave transmission through an open Sinai billiard: Effects of net currents / A. F. Sadreev, K. F. Berggren // Phys. Rev. E. - 2004. - Vol. 70, Is. 2. - Ст. 26201, DOI 10.1103/PhysRevE.70.026201. - Cited References: 27 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
EIGENVECTOR STATISTICS
   OPEN SYSTEMS
   EIGENFUNCTIONS
   CHAOS
   FLUCTUATIONS
   CROSSOVER
   ELECTRONS
   INTENSITY
Кл.слова (ненормированные):
Acoustic wave transmission -- Boundary conditions -- Computer simulation -- Continuum mechanics -- Current density -- Fermi level -- Mathematical transformations -- Microwaves -- Probability density function -- Quantum theory -- Random processes -- Reverberation -- Statistical methods -- Surface waves -- Waveguides -- Microwave cavities -- Poynting vector -- Sinai billiard -- Wave functions -- Cavity resonators
Аннотация: Transport through quantum and microwave cavities is studied by analytic and numerical techniques. In particular, we consider the statistics for a finite net probability current (Poynting vector) flowing through an open ballistic Sinai billiard to which two opposite leads/wave guides are attached. We show that if the net probability current is small, the scattering wave function inside the billiard is well approximated by a Gaussian random complex field. In this case, the current statistics are universal and obey simple analytic forms. For larger net currents, these forms still apply over several orders of magnitudes. However, small characteristic deviations appear in the tail regions. Although the focus is on electron and microwave billiards, the analysis is relevant also to other classical wave cavities as, for example, open planar acoustic reverberation rooms, elastic membranes, and water surface waves in irregularly shaped vessels.

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Держатели документа:
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Astafev Krasnoyarsk Pedag Univ, Krasnoyarsk 660049, Russia
ИФ СО РАН
Department of Physics, Linkoping University, S-581 83 Linkoping, Sweden
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Astaf'ev Krasnoyarsk Pedagogical U., 660049 Lebedeva, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Berggren, K. F.; Садреев, Алмаз Фаттахович
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Berggren, K. F.
Crossover from regular to irregular behavior in current flow through open billiards / K. F. Berggren, A. F. Sadreev, A. A. Starikov // Phys. Rev. E. - 2002. - Vol. 66, Is. 1. - Ст. 16218, DOI 10.1103/PhysRevE.66.016218. - Cited References: 36 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
PHASE SINGULARITIES
   NODAL POINTS
   WAVE-FIELDS
   QUANTUM
   STREAMLINES
   CONDUCTANCE
   VORTICES
   CHAOS
Кл.слова (ненормированные):
Eigenvalues and eigenfunctions -- Mathematical models -- Networks (circuits) -- Random processes -- Resonance -- Signal processing -- Spurious signal noise -- Bursting time series -- Coherence resonance -- Power spectrum -- Stochastic resonance -- Chaos theory
Аннотация: We discuss signatures of quantum chaos in terms of distributions of nodal points, saddle points, and streamlines for coherent electron transport through two-dimensional billiards, which are either nominally integrable or chaotic. As typical examples of the two cases we select rectangular and Sinai billiards. We have numerically evaluted distribution functions for nearest distances between nodal points and found that there is a generic form for open chaotic billiards through which a net current is passed. We have also evaluated the distribution functions for nodal points with specific vorticity (winding number) as well as for saddle points. The distributions may be used as signatures of quantum chaos in open systems. All distributions are well reproduced using random complex linear combinations of nearly monochromatic states in nominally closed billiards. In the case of rectangular billiards with simple sharp-cornered leads the distributions have characteristic features related to order among the nodal points. A flaring or rounding of the contact regions may, however, induce a crossover to nodal point distributions and current flow typical for quantum chaos. For an irregular arrangement of nodal points, as for example in the Sinai billiard, the quantum flow lines become very complex and volatile, recalling chaos among classical trajectories. Similarities with percolation are pointed out.

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Держатели документа:
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Dept. of Phys. and Msrmt. Technology, Linkoping University, S-581 83 Linkoping, Sweden
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Starikov, A. A.
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Bulgakov, E. N.
Rectangular microwave resonators with magnetic anisotropy. Mapping onto pseudointegrable rhombus / E. N. Bulgakov, A. F. Sadreev // Europhys. Lett. - 2002. - Vol. 57, Is. 2. - P. 198-204, DOI 10.1209/epl/i2002-00561-8. - Cited References: 24 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
TIME-REVERSAL SYMMETRY
   SPECTRAL STATISTICS
   STADIUM BILLIARD
   EIGENFUNCTIONS
   SYSTEMS
   CHAOS
Аннотация: A rectangular microwave resonator filled with ferrite with uniaxial magnetic anisotropy is considered. It is shown that this task can be reduced to an empty rhombus resonator with the vertex angle defined by an external magnetic field, provided that the magnetic anisotropy of the ferrite is strong. Therefore, the statistics of eigenfrequencies for TM modes is described by the Brody or semi-Poisson distribution with some exceptional cases.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН
Kirensky Institute of Physics-, 660036, Krasnoyarsk, Russian Federation
Department of Physics and Measurement Technology, Linkoping University, S-581 83 Linkoping, Sweden

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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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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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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10.

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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