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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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Muraev P. S., Maksimov D. N., Kolovsky A. R.
Заглавие : Quantum manifestation of the classical bifurcation in the driven dissipative Bose–Hubbard dimer
Место публикации : Entropy. - 2023. - Vol. 25, Is. 1: Special Issue: Quantum Chaos—Dedicated to Professor Giulio Casati on the Occasion of His 80th Birthday. - Ст.117. - ISSN 10994300 (eISSN), DOI 10.3390/e25010117
Примечания : Cited References: 18. - This work has been supported by Russian Science Foundation through grant N19-12-00167
Аннотация: We analyze the classical and quantum dynamics of the driven dissipative Bose–Hubbard dimer. Under variation of the driving frequency, the classical system is shown to exhibit a bifurcation to the limit cycle, where its steady-state solution corresponds to periodic oscillation with the frequency unrelated to the driving frequency. This bifurcation is shown to lead to a peculiarity in the stationary single-particle density matrix of the quantum system. The case of the Bose–Hubbard trimer, where the discussed limit cycle bifurcates into a chaotic attractor, is briefly discussed.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Muraev P. S., Flach S.
Заглавие : Conductance transition with interacting bosons in an Aharonov-Bohm cage
Место публикации : Phys. Rev. A. - 2023. - Vol. 108, Is. 1. - Ст.L010201. - ISSN 2469-9926 (ISSN), DOI 10.1103/PhysRevA.108.L010201. - ISSN 2469-9934 (eISSN)
Примечания : Cited References: 33. - We thank A. Andreanov for useful discussions. This work was supported by the Institute for Basic Science, Project Code (Project No. IBS-R024-D1). P.S.M. acknowledges financial support of the Ministry of Science and High Education of the Russian Federation through Grant No. FSRZ-2023-0006
Аннотация: We study the transport of interacting bosons through an Aharonov-Bohm cage—a building block of flat-band networks—with coherent pump and sink leads. In the absence of interactions the cage is insulating due to destructive interference. We find that the cage stays insulating up to a critical value of the pump strength in the presence of mean-field interactions, while the quantum regime induces particle pair transport and weak conductance below the critical pump strength. A swift crossover from the quantum into the classical regime upon further pump strength increase is observed. We solve the time-dependent master equations for the density matrix of the many-body problem in the classical, pure quantum, and pseudoclassical regimes. We start with an empty cage and switch on driving. We characterize the transient dynamics, and the complexity of the resulting steady states and attractors. Our results can be readily realized using experimental platforms involving interacting ultracold atoms, superconducting circuits, and photons on fine-tuned optical lattices.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Aksenov S. V., Kolovsky A. R.
Заглавие : Non-Markovian master equation for quantum transport of fermionic carriers
Колич.характеристики :16 с
Место публикации : J. Phys. Condens. Matter. - 2023. - Vol. 36, Is. 4. - Ст.045301. - ISSN 09538984 (ISSN), DOI 10.1088/1361-648X/ad0351. - ISSN 1361648X (eISSN)
Примечания : Cited References: 42. - We acknowledge financial support from Russian Science Foundation through Grant No. 19-12-00167
Аннотация: We propose a simple, yet feasible, model for quantum transport of fermionic carriers across tight-binding chain connecting two reservoirs maintained at arbitrary temperatures and chemical potentials. The model allows for elementary derivation of the master equation for the reduced single particle density matrix in a closed form in both Markov and Born approximations. In the Markov approximation the master equation is solved analytically, whereas in the Born approximation the problem is reduced to an algebraic equation for the single particle density matrix in the Redfield form. The non-Markovian equation is shown to lead to resonant transport similar to Landauer's conductance. It is shown that in the deep non-Markovian regime the transport current can be matched with that obtained by the non-equilibrium Green's function method.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Muraev P. S., Maksimov D. N., Kolovsky A. R.
Заглавие : Resonant transport of bosonic carriers through a quantum device
Коллективы : Russian Science FoundationRussian Science Foundation (RSF) [N19-12-00167]
Место публикации : Phys. Rev. A. - 2022. - Vol. 105, Is. 1. - Ст.013307. - ISSN 2469-9926, DOI 10.1103/PhysRevA.105.013307. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 16. - This work was supported by Russian Science Foundation Grant No. N19-12-00167
Аннотация: We analyze the current of Bose particles across a tight-binding chain connected at both ends to the particles' reservoirs. Unlike the standard open Bose-Hubbard model, where the presence of reservoirs is taken into account by the Lindbladians acting on the first and last sites of the chain, we use semimicroscopic models for the reservoirs. This allows us to address the case of arbitrary reservoir temperature. In particular, we discuss the phenomenon of the resonant transmission for nearly condensed bosons, where the current across the chain is significantly enhanced for certain values of the gate voltage.
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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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Muraev P. S., Maksimov D. N., Kolovsky A. R.
Заглавие : Ballistic transport of interacting Bose particles in a tight-binding chain
Место публикации : Phys. Rev. E. - 2022. - Vol. 106, Is. 6. - Ст.064203. - ISSN 24700045 (ISSN), DOI 10.1103/PhysRevE.106.064203. - ISSN 24700053 (eISSN)
Примечания : Cited References: 30. - This work has been supported by Russian Science Foundation through Grant No. N19-12-00167
Аннотация: It is known that the quantum transport of noninteracting Bose particles across a tight-binding chain is ballistic in the sense that the current does not depend on the chain length. We address the question whether the transport of strongly interacting bosons can be ballistic as well. We find such a regime and show that, classically, it corresponds to the synchronized motion of local nonlinear oscillators. It is also argued that, unlike the case of noninteracting bosons, the transporting state responsible for the ballistic transport of interacting bosons is metastable, i.e., the current decays in the course of time. An estimate for the decay time is obtained.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Josephson oscillation in the open two-site Bose-Hubbard system
Место публикации : Europhys. Lett. - 2022. - Vol. 139, Is. 5. - Ст.50002. - ISSN 02955075 (ISSN), DOI 10.1209/0295-5075/ac8cae
Примечания : Cited References: 39. - The author thanks D. N. Maksimov for fruitful discussions and acknowledges financial support from the Russian Science Foundation through Grant No. 19-12-00167
Аннотация: We analyze Josephson's oscillation of Bose particles in the open two-site Bose-Hubbard system. First, we excite the system from the vacuum state into a state suitable for observing the oscillation by using a special protocol for external driving. Next, we switch off the driving and observe the oscillation. It is shown that the main mechanism for the decay of Josephson's oscillation is the dephasing due to the fluctuating number of particles in open systems. An analytical estimate for the decay time is obtained.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Maksimov D. N.
Заглавие : Resonant transmission of fermionic carriers: Comparison between solid-state physics and quantum optics approaches
Коллективы : Russian Science FoundationRussian Science Foundation (RSF) [19-12-00167]
Место публикации : Phys. Rev. B. - 2021. - Vol. 104, Is. 11. - Ст.115115. - ISSN 2469-9950, DOI 10.1103/PhysRevB.104.115115. - ISSN 2469-9969(eISSN)
Примечания : Cited References: 31. - We acknowledge financial support from the Russian Science Foundation through Grant No. 19-12-00167
Аннотация: We revisit the phenomenon of the resonant transmission of fermionic carriers through a quantum device connected to two contacts with different chemical potentials. We show that, besides the traditional Landauer-Buttiker approach in solid-state physics, this phenomenon can also be described by the non-Markovian master equation for the reduced density matrix of the fermions in the quantum device. We identify validity regions for both approaches in the system parameter space and argue that for large relaxation rates the accuracy of the latter approach greatly exceeds the accuracy of the former.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Мураев, Павел Сергеевич, Коловский, Андрей Радиевич
Заглавие : Квантовый перенос в одномерной вихревой ромбической решетке
Место публикации : Квант. электроника. - 2021. - Т. 51, № 6. - С. 502-505. - ISSN 0368-7147
Примечания : Библиогр.: 19. - Работа выполнена при поддержке Российского научного фонда (грант № 19-12-00167)
Аннотация: Проанализирован стационарный ток бозонных частиц в вихревой ромбической решетке, соединяющей два резервуара с частицами. Показано, что при исчезающе малом взаимодействии частиц ток этих частиц монотонно убывает по мере увеличения магнитного потока и обращается точно в нуль при фазе Пайерлса, равной π. Отличие силы взаимодействия от нуля модифицирует эту зависимость, и при умеренной ее величине было обнаружено, что ток частиц не зависит от величины магнитного потока.
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Muraev P. S., Kolovsky A. R.
Заглавие : Quantum transport in a one-dimensional flux rhombic lattice
Коллективы : Russian Science Foundation [19-12-00167]
Место публикации : Quantum Electron. - 2021. - Vol. 51, Is. 6. - P.502-505. - ISSN 1063-7818, DOI 10.1070/QEL17559. - ISSN 1468-4799(eISSN)
Примечания : Cited References: 19. - This work was supported by the Russian Science Foundation (Grant No. 19-12-00167)
Аннотация: We analyse stationary current of the bosonic particles in a flux rhombic lattice connecting two particle reservoirs. For vanishing interparticle interactions the current is shown to monotonically decrease as the flux is increased and become strictly zero for the Peierls phase equal to π. Nonzero interactions modify this dependence and for moderate interaction strength the current is found to be independent of the flux value.
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12.

Вид документа : Статья из сборника (выпуск продолж. издания)
Шифр издания :
Автор(ы) : Bychek A. A., Muraev P. S., Maksimov D. N., Bulgakov E. N., Kolovsky A. R.
Заглавие : Chaotic and regular dynamics in the three-site Bose-Hubbard model
Коллективы : International Conference on Quantum Technologies
Место публикации : AIP Conf. Proc. - 2020. - Vol. 2241. - Ст.020007. - DOI 10.1063/5.0011540
Примечания : Cited References: 30. - This work has been supported through Russian Science Foundation Grant N19-12-00167
Аннотация: We analyze the energy spectrum of the three-site Bose-Hubbard model. It is shown that this spectrum is a mixture of the regular and irregular spectra associated with the regular and chaotic components of the classical Bose-Hubbard model. We find relative volumes of these components by using the pseudoclassical approach. Substituting these values in the Berry-Robnik distribution for the level spacing statistics we obtain good agreement with the numerical data.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Open Fermi-Hubbard model: Landauer's versus master equation approaches
Место публикации : Phys. Rev. B. - 2020. - Vol. 102, Is. 17. - Ст.174310. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.102.174310
Примечания : Cited References: 22. - The author acknowledges discussions with D. N. Maksimov and financial support of Russian Science Foundation (RU) through Grant No. 19-12-00167
Аннотация: We introduce a simple model for the quantum transport of Fermi particles between two contacts connected by a lead. It generalizes the Landauer formalism by explicitly taking into account the relaxation processes in the contacts. We calculate the contact resistance and nonequilibrium quasimomentum distribution of the carriers in the lead and show that they strongly depend on the rate of relaxation processes.
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bychek A. A., Maksimov D. N., Kolovsky A. R.
Заглавие : Decay of symmetry-protected quantum states
Коллективы : Russian Science FoundationRussian Science Foundation (RSF) [N19-12-00167]
Место публикации : Phys. Rev. A. - 2020. - Vol. 102, Is. 3. - Ст.033324. - ISSN 2469-9926, DOI 10.1103/PhysRevA.102.033324. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 47. - This work has been supported by Russian Science Foundation through Grant No. N19-12-00167. We appreciate discussions with A. F. Sadreev and E. N. Bulgakov. We are also grateful to G. P. Fedorov for his critical reading of the manuscript
Предметные рубрики: DRIVEN
Аннотация: We study the decay of bosonic many-body states in the triple-well Bose-Hubbard model where bosons in the central well can escape into a reservoir. For vanishing interparticle interaction this system supports a nondecaying many-body state which is the antisymmetric Bose-Einstein condensate with particles occupying only the edge wells. In the classical approach this quantum state corresponds to a symmetry-protected nondecaying state which is stable even at finite interaction below a certain intensity threshold. Here we demonstrate that despite the fact that the classical counterpart is stable the antisymmetric Bose-Einstein condensate is always metastable at finite interatomic interactions due to quantum fluctuations.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Quantum entanglement and the Born-Markov approximation for an open quantum system
Коллективы : Russian Science Foundation (RU)Russian Science Foundation (RSF) [N19-12-00167]
Место публикации : Phys. Rev. E. - 2020. - Vol. 101, Is. 6. - Ст.062116. - ISSN 1539-3755, DOI 10.1103/PhysRevE.101.062116. - ISSN 1550-2376(eISSN)
Примечания : Cited References: 18. - The author acknowledges discussions with D. N. Maksimov and financial support from the Russian Science Foundation (RU) through Grant No. N19-12-00167.
Аннотация: We revisit the Born-Markov approximation for an open quantum system by considering a microscopic model of the bath, namely, the Bose-Hubbard chain in the parameter region where it is chaotic in the sense of quantum chaos. It is shown that strong ergodic properties of the bath justify all approximations required for deriving the Markovian master equation from the first principles.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bychek A. A., Muraev P. S., Maksimov D. N., Kolovsky A. R.
Заглавие : Open bose-hubbard chain: pseudoclassical approach
Коллективы : Russian Science FoundationRussian Science Foundation (RSF) [N19-12-00167]
Место публикации : Phys. Rev. E. - 2020. - Vol. 101, Is. 1. - Ст.012208. - ISSN 2470-0045, DOI 10.1103/PhysRevE.101.012208. - ISSN 2470-0053(eISSN)
Примечания : Cited References: 29. - This work has been supported through Russian Science Foundation (RU), N19-12-00167
Аннотация: We analyze the stationary current of bosonic carriers in the Bose-Hubbard chain of length L where the first and the last sites of the chain are attached to reservoirs of Bose particles acting as a particle source and sink, respectively. The analysis is carried out by using the pseudoclassical approach which reduces the original quantum problem to the classical problem for L coupled nonlinear oscillators. It is shown that an increase of oscillator nonlinearity (which is determined by the strength of interparticle interactions) results in a transition from the ballistic transport regime, where the stationary current is independent of the chain length, to the diffusive regime, where the current is inversely proportional to L.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Maksimov D. N.
Заглавие : Quantum State of the Fermionic Carriers in a Transport Channel Connecting Particle Reservoirs
Место публикации : Condens. Matter. - 2019. - Vol. 4, Is. 4. - Ст.85. - ISSN 2410-3896, DOI 10.3390/condmat4040085
Примечания : Cited References: 35. - This work has been supported by Russian Science Foundation through grant N19-12-0016. We appreciate discussion with Anna A. Bychek.
Аннотация: We analyze the quantum state of fermionic carriers in a transport channel attached to a particle reservoir. The analysis is done from first principles by considering microscopic models of the reservoir and transport channel. In the case of infinite effective temperature of the reservoir we demonstrate a full agreement between the results of straightforward numerical simulations of the system dynamics and the solution of the master equation on the single-particle density matrix of the carriers in the channel. This allows us to predict the quantum state of carriers in the case where the transport channel connects two reservoirs with different chemical potentials.
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18.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Бычек, Анна Андреевна, Коловский, Андрей Радиевич
Заглавие : Спектральные и динамические характеристики холодных Бозе атомов в оптическом потенциале нескольких ям
Коллективы : Конференция молодых ученых ФИЦ КНЦ СО РАН
Место публикации : XXII конф. мол. ученых ФИЦ КНЦ СО РАН: сборник тезисов. - Красноярск, 2019. - С. 13
Примечания : Библиогр.: 3
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19.

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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20.

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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