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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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Kolovsky, A. R.
Bistability and chaos-assisted tunneling in dissipative quantum systems / A. R. Kolovsky // Phys. Rev. E. - 2022. - Vol. 106, Is. 1. - Ст. 014209, DOI 10.1103/PhysRevE.106.014209. - Cited References: 21. - The author acknowledges financial support from the Russian Science Foundation through Grant No. 19-12-00167 . - ISSN 2470-0045
Кл.слова (ненормированные):
Bi-stability -- Chaos-assisted tunneling -- Dissipative quantum systems -- Double resonance -- Driving frequencies -- Limit-cycle -- Multistability -- Non-linear oscillators -- Quantum limit -- Resonance model
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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Держатели документа:
Siberian Federal University, Krasnoyarsk, 660041, Russian Federation
Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Коловский, Андрей Радиевич
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    Kolovsky, A. R.
    Evaporative Cooling and Self-Thermalization in an Open System of Interacting Fermions / A. R. Kolovsky, D. L. Shepelyansky // Ann. Phys.-Berlin. - 2019. - Vol. 531, Is. 12. - Ст. 1900231, DOI 10.1002/andp.201900231. - 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. . - ISSN 0003-3804. - ISSN 1521-3889
   Перевод заглавия: Испарительное охлаждение и само-термализация в открытой системе взаимодействующих фермионов
Рубрики:
QUANTUM CHAOS
   DISTRIBUTIONS
   STATISTICS
Кл.слова (ненормированные):
open quantum systems -- quantum chaos -- self-thermalization
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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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.
Univ Toulouse, UPS, Lab Phys Theor, IRSAMC,CNRS, F-31062 Toulouse, France

Доп.точки доступа:
Shepelyansky, Dima L.; Коловский, Андрей Радиевич; 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]
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    Bychek, A. A.
    Probing quantum chaos in many-body quantum systems by the induced dissipation / A. A. Bychek, P. S. Muraev, A. R. Kolovsky // Phys. Rev. A. - 2019. - Vol. 100, Is. 1. - Ст. 013610, DOI 10.1103/PhysRevA.100.013610. - 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. . - ISSN 2469-9926. - ISSN 2469-9934
   Перевод заглавия: Исследование квантового хаоса в многочастичных квантовых системах при помощи диссипации

РУБ Optics + Physics, Atomic, Molecular & Chemical

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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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Muraev, Pavel S.; Kolovsky, A. R.; Коловский, Андрей Радиевич; Бычек, Анна Андреевна; Russian Science Foundation [N19-12-00167]
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    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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Kolovsky, A. R.
Landau-Stark states / A. R. Kolovsky // Quantum chaos: fundamentals and applications. - 2015

Материалы конференции

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

Материалы конференции

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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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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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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10.

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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