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Tanner, G.
Wave Intensity Distributions in Complex Structures / G. . Tanner, D. J. Chappell, D. N. Maksimov // Acta Phys. Pol. A. - 2011. - Vol. 120, Is. 6A. - P. A172-A177. - Cited References: 19 . - ISSN 0587-4246

РУБ Physics, Multidisciplinary
Рубрики:
STATISTICAL ENERGY ANALYSIS
   HIGH-FREQUENCIES
   SYSTEMS
   VIBRATIONS
Аннотация: The vibro-acoustic response of mechanical structures can in general be well approximated in terms of linear wave equations. Standard numerical solution methods comprise the finite or boundary element method in the low frequency regime and statistical energy analysis in the high-frequency limit. Major computational challenges are posed by the so-called mid-frequency problem - that is, composite structures where the local wavelength may vary by orders of magnitude across the components. Recently, a new approach towards determining the distribution of mechanical and acoustic wave energy in complex built-up structures improving on standard statistical energy analysis has been proposed. The technique interpolates between statistical energy analysis and ray tracing containing both these methods as limiting cases. The method has its origin in studying solutions of wave equation with an underlying chaotic ray-dynamics - often referred to as wave chaos. Within the new theory dynamical energy analysis - statistical energy analysis is identified as a low resolution ray tracing algorithm and typical statistical energy analysis assumptions can be quantified in terms of the properties of the ray dynamics. We have furthermore developed a hybrid statistical energy analysis/finite element method based on random wave model assumptions for the short-wavelength components. This makes it possible to tackle mid-frequency problems under certain constraints on the geometry of the structure. Dynamical energy analysis and statistical energy analysis/finite element method calculations for a range of multi-component model systems will be presented. The results are compared with both statistical energy analysis results and finite element method as well as boundary element method calculations. Dynamical energy analysis emerges as a numerically efficient method for calculating mean wave intensities with a high degree of spatial resolution and capturing long range correlations in the ray dynamics.

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Доп.точки доступа:
Chappell, D. J.; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Workshop on Quantum Chaos and Localisation Phenomena(5 ; 2011 ; May ; 20-22 ; Warsaw)
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Gluck, M.
Wannier-Stark resonances in optical and semiconductor superlattices / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Rep.-Rev. Sec. Phys. Lett. - 2002. - Vol. 366, Is. 3. - P. 103-182, DOI 10.1016/S0370-1573(02)00142-4. - Cited References: 234 . - ISSN 0370-1573

РУБ Physics, Multidisciplinary
Рубрики:
UNIFORM ELECTRIC-FIELD
   QUANTUM CHAOTIC SCATTERING
   FRANZ-KELDYSH OSCILLATIONS
   METAL-INSULATOR-TRANSITION
   ALTERNATING SITE ENERGIES
   GAAS-ALAS SUPERLATTICES
   RANDOM UNITARY MATRICES
   WAVE-GUIDE ARRAYS
   BLOCH OSCILLATIONS
   PERTURBATION-THEORY
Кл.слова (ненормированные):
Wannier-Stark resonances -- semiconductor superlattices -- optical lattices -- resonance statistics -- quantum chaos -- Optical lattices -- Quantum chaos -- Resonances statistics -- Semiconductor superlattices -- Wannier-Stark resonances
Аннотация: In this work, we discuss the resonance states of a quantum particle in a periodic potential plus a static force. Originally, this problem was formulated for a crystal electron subject to a static electric field and it is nowadays known as the Wannier-Stark problem. We describe a novel approach to the Wannier-Stark problem developed in recent years. This approach allows to compute the complex energy spectrum of a Wannier-Stark system as the poles of a rigorously constructed scattering matrix and solves the Wannier-Stark problem without any approximation. The suggested method is very efficient from the numerical point of view and has proven to be a powerful analytic tool for Wannier-Stark resonances appearing in different physical systems such as optical lattices or semiconductor superlattices. (C) 2002 Elsevier Science B.V. All rights reserved.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich (FB) Physik, Universitat Kaiserslautern, D-67653 Kaiserslautern, Germany
L.V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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Understanding quantum scattering properties in terms of purely classical dynamics: Two-dimensional open chaotic billiards / J. A. Mendez-Bermudez [et al.] // Phys. Rev. E. - 2002. - Vol. 66, Is. 4. - Ст. 46207, DOI 10.1103/PhysRevE.66.046207. - Cited References: 34 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
BALLISTIC-TRANSPORT
   POINCARE SECTIONS
   CAVITIES
   EIGENFUNCTIONS
   LOCALIZATION
   CHANNEL
Кл.слова (ненормированные):
Chaos theory -- Electron tunneling -- Laser applications -- Nonlinear systems -- Probability -- Waveguide components -- Chaotic motion -- Microlasers -- Quantum scattering -- Scattering probability -- Quantum theory -- article
Аннотация: We study classical and quantum scattering properties of particles in the ballistic regime in two-dimensional chaotic billiards that are models of electron- or micro-waveguides. To this end we construct the purely classical counterparts of the scattering probability (SP) matrix \S(n,m)\(2) and Husimi distributions specializing to the case of mixed chaotic motion (incomplete horseshoe). Comparison between classical and quantum quantities allows us to discover the purely classical dynamical origin of certain general as well as particular features that appear in the quantum description of the system. On the other hand, at certain values of energy the tunneling of the wave function into classically forbidden regions produces striking differences between the classical and quantum quantities. A potential application of this phenomenon in the field of microlasers is discussed briefly. We also see the manifestation of whispering gallery orbits as a self-similar structure in the transmission part of the classical SP matrix.

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Держатели документа:
Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
Univ Hradec Kralove, Dept Phys, Hradec Kralove, Czech Republic
Acad Sci Czech Republ, Inst Phys, Prague, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Instituto de Fisica, Univ. Autonoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico
Department of Physics, University Hradec Kralove, Hradec Kralove, Czech Republic
Institute of Physics, Czech Academy of Sciences, Cukrovarnicka 10, Prague, Czech Republic
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Mendez-Bermudez, J. A.; Luna-Acosta, G. A.; Seba, P.; Pichugin, K. N.; Пичугин, Константин Николаевич
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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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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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Berman, G. P.
Structural order ND chaos in a one-dimensional quantum atomic chain / G. P. Berman, A. M. Iomin // Phys. Lett. A. - 1985. - Vol. 107, Is. 7. - P. 324-328, DOI 10.1016/0375-9601(85)90646-2. - Cited References: 22 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary

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Доп.точки доступа:
Iomin, A. M.; Берман, Геннадий Петрович
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Structural heterogeneity detonation diamond-containing mate rial [Text] / A. Ya. Korets, A. S. Krylov, E. V. Mironov // 3rd Chaotic modeling and Simulation International Conference: CHAOS 2010. - 2010. - P34

Доп.точки доступа:
Korets, A.Ya.; Krylov, A.S.; Mironov, E.V.; Chaotic modeling and Simulation International Conference(2010 ; Jun/ ; 1-4 ; Chania, Crete, Greece)
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Bulgakov, E. N.
Statistics of wave functions and currents induced by spin-orbit interaction in chaotic billiards / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. E. - 2004. - Vol. 70, Is. 5. - Ст. 56211, DOI 10.1103/PhysRevE.70.056211. - Cited References: 33 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
HELMHOLTZ-EQUATION
   PERSISTENT CURRENTS
   ELECTRON-GAS
   RINGS
   EIGENFUNCTIONS
   SYSTEMS
   PHASE
Кл.слова (ненормированные):
Approximation theory -- Chaos theory -- Degrees of freedom (mechanics) -- Eigenvalues and eigenfunctions -- Electric field effects -- Electric potential -- Electron gas -- Hamiltonians -- Heterojunctions -- Microwaves -- Statistical methods -- Chaotic Robnik billiards -- Current distributions -- Spin-orbit interaction (SOI) -- Wave functions -- Quantum theory
Аннотация: We show that the wave function and current statistics in chaotic Robnik billiards crucially depend on the constant of the spin-orbit interaction (SOI). For small constant the current statistics is described by universal current distributions derived for slightly opened chaotic billiards [Saichev et al. J. Phys. A. 35, L87 (2002)] although one of the components of the spinor eigenfunctions is not universal. For strong SOI both components of the spinor eigenstate are complex random Gaussian fields. This observation allows us to derive the distributions of spin-orbit persistent cut-rents which well describe numerical statistics. For intermediate values of the statistics of the eigenstates and currents, both are deeply nonuniversal.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Astafev Krasnoyarsk Pedag Univ, Lebedeva 660049 89, Russia
Linkoping Univ, IFM, S-58183 Linkoping, Sweden
ИФ СО РАН
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Astaf'ev Krasnoyarsk Pedagogical U., 660049, Lebedeva, 89, Russian Federation
IFM, Linkoping University, S-581 83 Linkoping, Sweden

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Kolovsky, A. R.
Stationary response of a multilevel quantum system in the regime of quantum chaos / A. R. Kolovsky // Phys. Lett. A. - 1990. - Vol. 148, Is. 1-2. - P. 72-77, DOI 10.1016/0375-9601(90)90579-D. - Cited References: 19 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary

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Доп.точки доступа:
Коловский, Андрей Радиевич
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10.

Drokin, N. A.
Static and dynamic characteristics of the bulk and contact electric resistivity in CDCR2SE4 under stochastic current instability / N. A. Drokin, S. M. Ganiev // Fiz. Tverd. Tela. - 1992. - Vol. 34, Is. 7. - P. 2122-2128. - Cited References: 21 . - ISSN 0367-3294

РУБ Physics, Condensed Matter
Рубрики:
OSCILLATIONS
CHAOS
GE

WOS

Доп.точки доступа:
Ganiev, S. M.; Дрокин, Николай Александрович
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11.

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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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.

Berggren, K. -F.
Simulation of wave chaos using resonant electric network analogues [Text] / K.-F. Berggren, A. F. Sadreev // AIP Conf. Proc. - 2006. - Vol. 834. - P307-317

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Держатели документа:
IFM, Linköping University, SE-58183 Linköping, Sweden
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович
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14.

Signatures of quantum chaos in the nodal points and streamlines in electron transport through billiards / K. F. Berggren [et al.] // JETP Letters. - 1999. - Vol. 70, Is. 6. - P. 403-409, DOI 10.1134/1.568188. - Cited References: 13 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:

Аннотация: Streamlines and the distributions of nodal points are used as signatures of chaos in coherent electron transport through three types of billiards: Sinai, Bunimovich, and rectangular. Numerical averaged distribution functions of the nearest distances between nodal points are presented. We find the same form for the Sinai and Bunimovich billiards and suggest that there is a universal form that can be used as a signature of quantum chaos for electron transport in open billiards. The universal distribution function is found to be insensitive to the way the averaging is performed (over the positions of the leads, over an energy interval with a few conductance fluctuations, or both). The integrable rectangular billiard, on the other hand, displays a nonuniversal distribution with a central peak related to partial order of nodal points for the case of symmetric attachment of the leads. However, cases with asymmetric leads tend to the universal form. Also, it is shown how nodal points in the rectangular billiard can lead to "channeling of quantum flows," while disorder in the nodal points in the Sinai billiard gives rise to unstable irregular behavior of the flow. (C) 1999 American Institute of Physics. [S0021- 3640(99)00718-5].

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Держатели документа:
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Acad Sci Czech Republic, Inst Phys, Prague 16000, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Berggren, K. F.; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Starikov, A. A.
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15.

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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16.

Muraev, P. S.
Signatures of quantum chaos and fermionization in the incoherent transport of bosonic carriers in the Bose-Hubbard chain / P. S. Muraev, D. N. Maksimov, A. R. Kolovsky // Phys. Rev. E. - 2024. - Vol. 109, Is. 3. - Ст. L032107, DOI 10.1103/PhysRevE.109.L032107. - Cited References: 34. - The authors acknowledge financial support from the Ministry of Science and Higher Education of Russian Federation (Project No. FSRZ-2023-0006) . - ISSN 2470-0045. - ISSN 2470-0053
Аннотация: We analyze the stationary current of Bose particles across the Bose-Hubbard chain connected to a battery, focusing on the effect of interparticle interactions. It is shown that the current magnitude drastically decreases as the strength of interparticle interactions exceeds the critical value which marks the transition to quantum chaos in the Bose-Hubbard Hamiltonian. We found that this transition is well reflected in the nonequilibrium many-body density matrix of the system. Namely, the level-spacing distribution for eigenvalues of the density matrix changes from Poisson to Wigner-Dyson distributions. With the further increase of the interaction strength, the Wigner-Dyson spectrum statistics change back to the Poisson statistics which now marks fermionization of the Bose particles. With respect to the stationary current, this leads to the counter-intuitive dependence of the current magnitude on the particle number.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Centre KSC SB RAS, 660036 Krasnoyarsk, Russia
School of Engineering Physics and Radio Electronics, Siberian Federal University, 660041 Krasnoyarsk, Russia
IRC SQC, Siberian Federal University, 660041 Krasnoyarsk, Russia

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; Мураев, Павел Сергеевич
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17.

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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18.

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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19.

Kolovsky, A. R.
Relativistic chaos for an electron in a standing microwave field / A. R. Kolovsky // Europhys. Lett. - 1998. - Vol. 41, Is. 3. - P. 257-260, DOI 10.1209/epl/i1998-00139-0. - Cited References: 9 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
BEAM
Аннотация: We study the dynamics of an electron in a standing wave of a microwave field. For large field amplitude the system undergoes a transition to a chaotic regime which is shown to be entirely related with the transition to relativistic dynamics. A possible laboratory experiment is shortly discussed.

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

Доп.точки доступа:
Коловский, Андрей Радиевич
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20.

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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