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Общее количество найденных документов : 55
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1.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Muraev P. S., Maksimov D. N., Kolovsky A. R.
Заглавие : Signatures of quantum chaos and fermionization in the incoherent transport of bosonic carriers in the Bose-Hubbard chain
Колич.характеристики :5 с
Место публикации : Phys. Rev. E. - 2024. - Vol. 109, Is. 3. - Ст.L032107. - ISSN 24700045 (ISSN), DOI 10.1103/PhysRevE.109.L032107. - ISSN 24700053 (eISSN)
Примечания : Cited References: 34. - The authors acknowledge financial support from the Ministry of Science and Higher Education of Russian Federation (Project No. FSRZ-2023-0006)
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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2.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bistability and chaos-assisted tunneling in dissipative quantum systems
Место публикации : Phys. Rev. E. - 2022. - Vol. 106, Is. 1. - Ст.014209. - ISSN 24700045 (ISSN), DOI 10.1103/PhysRevE.106.014209
Примечания : Cited References: 21. - The author acknowledges financial support from the Russian Science Foundation through Grant No. 19-12-00167
Аннотация: We revisit the problem of quantum bi- and multistability by considering the dissipative double resonance model. For a large driving frequency, this system has a simpler phase structure than the driven dissipative nonlinear oscillator, the paradigm model for classical and quantum bistability. This allows us to obtain an analytical estimate for the lifetime of quantum limit cycles. On the other hand, for a small driving frequency, the system is much richer than the nonlinear oscillator. This allows us to address a novel phenomenon of dissipation- and chaos-assisted tunneling between quantum limits cycles.
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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bychek A. A., Muraev, Pavel S., Kolovsky A. R.
Заглавие : Probing quantum chaos in many-body quantum systems by the induced dissipation
Коллективы : Russian Science Foundation [N19-12-00167]
Место публикации : Phys. Rev. A. - 2019. - Vol. 100, Is. 1. - Ст.013610. - ISSN 2469-9926, DOI 10.1103/PhysRevA.100.013610. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 29. - This work has been supported through Russian Science Foundation Grant N19-12-00167. The authors are grateful to D. N. Maksimov for stimulating discussions.
Аннотация: We theoretically analyze the depletion dynamics of an ensemble of cold atoms in a quasi-one-dimensional optical lattice where atoms in one of the lattice sites are subject to decay. Unlike the previous studies of this problem in Labouvie et al., Phys. Rev. Lett. 116, 235302 (2016), we focus on the case where the system is brought to the chaotic regime, which crucially modifies the depletion dynamics as compared to the regular case. It is shown that depletion of the affected site results in gradual depletion of the neighboring sites according to the t1/3 scaling law. We also show that by measuring occupations of the lattice sites one can extract important information on chaotic dynamics of the original conservative system.
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4.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Shepelyansky, Dima L.
Заглавие : Evaporative Cooling and Self-Thermalization in an Open System of Interacting Fermions
Коллективы : Programme Investissements d'AvenirFrench National Research Agency (ANR) [ANR-11-IDEX-0002-02, ANR-10-LABX-0037-NEXT]; Russian Science FoundationRussian Science Foundation (RSF) [N19-12-00167]
Место публикации : Ann. Phys.-Berlin. - 2019. - Vol. 531, Is. 12. - Ст.1900231. - ISSN 0003-3804, DOI 10.1002/andp.201900231. - ISSN 1521-3889(eISSN)
Примечания : Cited References: 24. - For D.L.S. this work was supported in part by the Programme Investissements d'Avenir ANR-11-IDEX-0002-02, reference ANR-10-LABX-0037-NEXT (project THETRACOM). For A.R.K. this work was supported in part by Russian Science Foundation through the grant N19-12-00167.
Предметные рубрики: QUANTUM CHAOS
DISTRIBUTIONS
STATISTICS
Аннотация: Depletion dynamics of an open system of weakly interacting fermions with two-body random interactions is studied. In this model, fermions are escaping from the high-energy one-particle orbitals, that mimics the evaporation process used in laboratory experiments with neutral atoms to cool them to ultra-low temperatures. It is shown that due to self-thermalization the system instantaneously adjusts to the new temperature which decreases with the course of time.
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5.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bose-Hubbard Hamiltonian: Quantum chaos approach
Место публикации : Int. J. Mod. Phys. B: World Scientific Publishing, 2016. - Vol. 30, Is. 10. - Ст.1630009. - ISSN 0217-9792, DOI 10.1142/S0217979216300097. - ISSN 1793-6578(eISSN)
Примечания : Cited References:42
Предметные рубрики: Optical lattice
Dynamics
Atoms
States
Model
Ключевые слова (''Своб.индексиров.''): 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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6.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Landau-Stark states
Коллективы : "Quantum chaos: fundamentals and applications", Session Workshop
Место публикации : Quantum chaos: fundamentals and applications. - 2015
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7.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bose-Hubbard Hamiltonian: Quantum Chaos Approach
Коллективы : Workshop On Bose-Einstein Condensation and Quantum Chaos
Место публикации : Worksh. Bose-Einstein condens. and quant. chaos. - 2015
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8.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Tanner G., Chappell D. J., Maksimov D. N.
Заглавие : Wave Intensity Distributions in Complex Structures
Коллективы : Workshop on Quantum Chaos and Localisation Phenomena
Место публикации : Acta Phys. Pol. A. - 2011. - Vol. 120, Is. 6A. - P.A172-A177. - ISSN 0587-4246
Примечания : Cited References: 19
Предметные 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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9.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Korets A.Ya., Krylov A.S., Mironov E.V.
Заглавие : Structural heterogeneity detonation diamond-containing mate rial
Коллективы : Chaotic modeling and Simulation International Conference
Место публикации : 3rd Chaotic modeling and Simulation International Conference: CHAOS 2010. - 2010. - С. 34
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Semiclassical quantization of the Bogoliubov spectrum
Разночтения заглавия :авие SCOPUS: Semiclassical quantization of the bogoliubov spectrum
Место публикации : Phys. Rev. Lett.: AMER PHYSICAL SOC, 2007. - Vol. 99, Is. 2. - Ст.20401. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.99.020401
Примечания : Cited References: 14
Предметные рубрики: SELF-TRAPPING EQUATION
CHAOS
Ключевые слова (''Своб.индексиров.''): 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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