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1.


    Kolovsky, A. R.
    Bose-Hubbard Hamiltonian: Quantum Chaos Approach / A. R. Kolovsky // Worksh. Bose-Einstein condens. and quant. chaos. - 2015

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Доп.точки доступа:
Коловский, Андрей Радиевич; Workshop On Bose-Einstein Condensation and Quantum Chaos(2015 ; 30 Mart-2 Apr. ; Sao Paulo, Brasil)
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2.


    Kolovsky, A. R.
    Landau-Stark states / A. R. Kolovsky // Quantum chaos: fundamentals and applications. - 2015

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Доп.точки доступа:
Коловский, Андрей Радиевич; "Quantum chaos: fundamentals and applications", Session Workshop (1 (W1) ; 2015 ; Mart ; 14-21 ; Toulose, France)
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3.


    Kolovsky, A. R.
    Bose-Hubbard Hamiltonian: Quantum chaos approach / A. R. Kolovsky // Int. J. Mod. Phys. B. - 2016. - Vol. 30, Is. 10. - Ст. 1630009, DOI 10.1142/S0217979216300097. - Cited References:42 . - ISSN 0217-9792. - ISSN 1793-6578
   Перевод заглавия: Гамильтониан Бозе-Хаббарда: подход с точки зрения квантового хаоса
РУБ Physics, Applied + Physics, Condensed Matter + Physics, Mathematical
Рубрики:
Optical lattice
   Dynamics
   Atoms
   States
   Model
Кл.слова (ненормированные):
Cold atoms in optical lattices -- quantum transport -- nonlinear dynamics and chaos
Аннотация: We discuss applications of the theory of quantum chaos to one of the paradigm models of many-body quantum physics - the Bose-Hubbard (BH) model, which describes, in particular, interacting ultracold Bose atoms in an optical lattice. After preliminary, pure quantum analysis of the system we introduce the classical counterpart of the BH model and the governing semiclassical equations of motion. We analyze these equations for the problem of Bloch oscillations (BOs) of cold atoms where a number of experimental results are available. The paper is written for nonexperts and can be viewed as an introduction to the field.

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Доп.точки доступа:
Коловский, Андрей Радиевич
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4.


    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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5.


    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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6.


    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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7.


    Sadreev, A. F.
    Signatures of quantum chaos in complex wavefunctions describing open billiards / A. F. Sadreev, K. F. Berggren // J. Phys. A. - 2005. - Vol. 38, Is. 49. - P. 10787-10804, DOI 10.1088/0305-4470/38/49/019. - Cited References: 103 . - ISSN 0305-4470
РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
TIME-REVERSAL SYMMETRY
   RANDOM-MATRIX
   STATISTICAL-THEORY
   ENERGY-LEVELS
   S-MATRIX
   CHARACTERISTIC VECTORS
   PHASE SINGULARITIES
   INFINITE DIMENSIONS
   BORDERED MATRICES
   NUCLEAR REACTIONS
Аннотация: We discuss signatures of quantum chaos in open chaotic billiards. Solutions for such a system are given by complex scattering wavefunctions psi = u + iv when a steady current flows through the billiard. For slightly opened chaotic billiards the current distributions are simple and universal. It is remarkable that the resonant transmission through integrable billiards also gives the universal current distribution. Cur-rents induced by the Rashba spin-orbit interaction can flow even in closed billiards. Wavefunction and current distributions for a chaotic billiard with weak and strong spin-orbit interactions have been derived and compared with numerics. Similarities with classical waves are considered. In particular we propose that the networks of electric resonance RLC circuits may be used to study wave chaos. However, being different from quantum billiards, there is a resistance from the inductors which gives rise to heat power and decoherence.

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

Доп.точки доступа:
Berggren, K. F.; Садреев, Алмаз Фаттахович
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8.


   
    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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9.


    Bulgakov, E. N.
    Electric circuit networks equivalent to chaotic quantum billiards / E. N. Bulgakov, D. N. Maksimov, A. F. Sadreev // Phys. Rev. E. - 2005. - Vol. 71, Is. 4. - Ст. 46205, DOI 10.1103/PhysRevE.71.046205. - Cited References: 31 . - ISSN 1063-651X
РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
TIME-REVERSAL SYMMETRY
   CONDUCTANCE FLUCTUATIONS
   STATISTICS
   SYSTEMS
   EIGENFUNCTIONS
   DOTS
Кл.слова (ненормированные):
Chaotic quantum billiards -- Electric resonance circuits (ERC) -- Resonance networks -- Wave functions -- Boundary conditions -- Capacitors -- Chaos theory -- Eigenvalues and eigenfunctions -- Electric inductors -- Natural frequencies -- Quantum theory -- Resonance -- Statistical mechanics -- Networks (circuits)
Аннотация: We consider two electric RLC resonance networks that are equivalent to quantum billiards. In a network of inductors grounded by capacitors, the eigenvalues of the quantum billiard correspond to the squared resonant frequencies. In a network of capacitors grounded by inductors, the eigenvalues of the billiard are given by the inverse of the squared resonant frequencies. In both cases, the local voltages play the role of the wave function of the quantum billiard. However, unlike for quantum billiards, there is a heat power because of the resistance of the inductors. In the equivalent chaotic billiards, we derive a distribution of the heat power which describes well the numerical statistics.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
Astafev Pedag Univ, Krasnoyarsk 660049, Russia
ИФ СО РАН
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Dept. of Physics and Measurement, Technology Linkoping University, 5-557 83 Linkoping, Sweden
Astaf'Ev Pedagogical University, 89, Krasnoyarsk, 660049 Lebedeva, Russian Federation

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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10.


    Kolovsky, A. R.
    Quantum chaos in the Bose-Hubbard model / A. R. Kolovsky, A. . Buchleitner // Europhys. Lett. - 2004. - Vol. 68, Is. 5. - P. 632-638, DOI 10.1209/epl/i2004-10265-7. - Cited References: 22 . - ISSN 0295-5075
РУБ Physics, Multidisciplinary
Рубрики:
EINSTEIN CONDENSATE
   DOUBLE-WELL
   TRANSITION
   SUPERFLUID
   INSULATOR
   ATOMS
Аннотация: We present a numerical study of the spectral properties of the 1D Bose-Hubbard model. Unlike the 1D Hubbard model for fermions, this system is found to be non-integrable, and exhibits Wigner-Dyson spectral statistics under suitable conditions.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Max-Planck-Inst. F. Physik K., D-01187 Dresden, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Buchleitner, A.; Коловский, Андрей Радиевич
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