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Kolovsky, A. R.
Deriving Landauer's formula by using the master equation approach / A. R. Kolovsky // Europhys. Lett. - 2024. - Vol. 146, Is. 6. - Ст. 61001, DOI 10.1209/0295-5075/ad56c3 . - ISSN 0295-5075. - ISSN 1286-4854
Аннотация: We revisit the problem of two-terminal transport of non-interacting Fermi particles in a mesoscopic device. First, we generalize the transport problem by taking into consideration relaxation processes in contacts (which are characterized by the contact self-thermalization rate γ) and then solve it by using the master equation approach. In the limit γ→0 the obtained results are shown to reproduce those of the Landauer theory. Thus, the presented analysis proves correspondence between the Landauer and master equation approaches to quantum transport —a problem which has been waiting for a solution for decades.

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

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Коловский, Андрей Радиевич
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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.
Effects of internal and external decoherence on the resonant transport and Anderson localization of fermionic particles in disordered tight-binding chains / A. R. Kolovsky // Phys. Rev. B. - 2024. - Vol. 110, Is. 3. - Ст. 035410, DOI 10.1103/PhysRevB.110.035410. - Cited References: 41. - This study was supported by the Ministry of Science and Higher Education of Russian Federation, Grant No. FSRZ-2023-0006 . - ISSN 2469-9950. - ISSN 2469-9969
Аннотация: We study the effects of relaxation/decoherence processes on quantum transport of noninteracting Fermi particles across the disordered tight-binding chain, where we distinguish between relaxation processes in the contacts (external decoherence) and those in the chain (internal decoherence). It is shown that external decoherence reduces conductance fluctuations but does not alter the Anderson localization length. This is in strong contrast with the effect of internal decoherence which is found to suppress Anderson localization. We also address quantum transport in chains with particle losses which are of considerable interest for laboratory experiments with cold atoms.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
International Research Center of Spectroscopy and Quantum Chemistry – IRC SQC, Siberian Federal University, 660041 Krasnoyarsk, Russia

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Коловский, Андрей Радиевич
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Conductance transition with interacting bosons in an Aharonov-Bohm cage / A. R. Kolovsky, P. S. Muraev, S. Flach // Phys. Rev. A. - 2023. - Vol. 108, Is. 1. - Ст. L010201, DOI 10.1103/PhysRevA.108.L010201. - 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 . - ISSN 2469-9926. - ISSN 2469-9934
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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
School of Engineering Physics and Radio Electronics, Siberian Federal University, 660041 Krasnoyarsk, Russia
Center for Theoretical Physics of Complex Systems, Institute for Basic Science, 34126 Daejeon, Republic of Korea
IRC SQC, Siberian Federal University, 660041 Krasnoyarsk, Russia

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Muraev, P. S.; Мураев, Павел Сергеевич; Flach, S.
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Muraev, P. S.
Quantum manifestation of the classical bifurcation in the driven dissipative Bose–Hubbard dimer / P. S. Muraev, D. N. Maksimov, A. R. Kolovsky // Entropy. - 2023. - Vol. 25, Is. 1 : Special Issue: Quantum Chaos—Dedicated to Professor Giulio Casati on the Occasion of His 80th Birthday. - Ст. 117, DOI 10.3390/e25010117. - Cited References: 18. - This work has been supported by Russian Science Foundation through grant N19-12-00167 . - ISSN 1099-4300
Кл.слова (ненормированные):
open quantum system -- non-linear dynamics -- chaotic attractors
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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center 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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Maksimov, D. N.
Non-Markovian master equation for quantum transport of fermionic carriers / D. N. Maksimov, S. Aksenov, A. R. Kolovsky // J. Phys. Condens. Matter. - 2023. - Vol. 36, Is. 4. - Ст. 045301, DOI 10.1088/1361-648X/ad0351. - Cited References: 42. - We acknowledge financial support from Russian Science Foundation through Grant No. 19-12-00167 . - ISSN 0953-8984. - ISSN 1361-648X
Кл.слова (ненормированные):
quantum transport -- master equation -- non-equilibrium Green’s functions
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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Держатели документа:
IRC SQC, Siberian Federal University, 660041 Krasnoyarsk, Russian Federation
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation
School of Engineering Physics and Radio Electronics, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Kolovsky, A. R.; Коловский, Андрей Радиевич; Максимов, Дмитрий Николаевич
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Muraev, P. S.
Resonant transport of bosonic carriers through a quantum device / P. S. Muraev, D. N. Maksimov, A. R. Kolovsky // Phys. Rev. A. - 2022. - Vol. 105, Is. 1. - Ст. 013307, DOI 10.1103/PhysRevA.105.013307. - Cited References: 16. - This work was supported by Russian Science Foundation Grant No. N19-12-00167 . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical

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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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Sch Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia.
Siberian Fed Univ, IRC SQC, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; Мураев, Павел Сергеевич; Russian Science FoundationRussian Science Foundation (RSF) [N19-12-00167]
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Muraev, P. S.
Ballistic transport of interacting Bose particles in a tight-binding chain / P. S. Muraev, D. N. Maksimov, A. R. Kolovsky // Phys. Rev. E. - 2022. - Vol. 106, Is. 6. - Ст. 064203, DOI 10.1103/PhysRevE.106.064203. - Cited References: 30. - This work has been supported by Russian Science Foundation through Grant No. N19-12-00167 . - ISSN 2470-0045. - ISSN 2470-0053
Кл.слова (ненормированные):
Bosons -- Quantum chemistry -- Transport properties
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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation
School of Engineering Physics and Radio Electronics, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation
IRC SQC, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation

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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10.

Kolovsky, A. R.
Josephson oscillation in the open two-site Bose-Hubbard system / A. R. Kolovsky // Europhys. Lett. - 2022. - Vol. 139, Is. 5. - Ст. 50002, DOI 10.1209/0295-5075/ac8cae. - 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 . - ISSN 0295-5075
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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Держатели документа:
Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation
Siberian Federal University, Krasnoyarsk, 660041, Russian Federation

Доп.точки доступа:
Коловский, Андрей Радиевич
}
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