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1.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Microscopic models of source and sink for atomtronics
Коллективы : Russian Foundation; Government of Krasnoyarsk Territory; Krasnoyarsk Region Science and Technology Support Fund [16-42-240746]
Место публикации : Phys. Rev. A: American Physical Society, 2017. - Vol. 96, Is. 1. - Ст.011601. - ISSN 2469-9926, DOI 10.1103/PhysRevA.96.011601. - ISSN 2469-9934(eISSN)
Примечания : Cited References:26. - The author acknowledges financial support from the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Krasnoyarsk Region Science and Technology Support Fund through Grant No. 16-42-240746.
Предметные рубрики: BOSE-HUBBARD MODEL
ANDERSON LOCALIZATION
BLOCH OSCILLATIONS
ATOMS
Аннотация: We analyzemicroscopic models of the particle source or sink which consist of a one- or two-site Bose-Hubbard model (the system) weakly coupled to amany-site Bose-Hubbard model (the reservoir). Assuming unequal filling factors for the system and reservoir, we numerically study equilibration dynamics and compare it with the solution of the master equation on the reduced density matrix of the system. Necessary conditions for the validity of the master equation approach are formulated.
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2.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Ramachandran A., Flach S.
Заглавие : Topological flat Wannier-Stark bands
Место публикации : Phys. Rev. B. - 2018. - Vol. 97, Is. 4. - Ст.045120. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.97.045120
Примечания : Cited References: 32
Аннотация: We analyze the spectrum and eigenstates of a quantum particle in a bipartite two-dimensional tight-binding dice network. In the absence of a dc bias, it hosts a chiral flatband with compact localized eigenstates. In the presence of a dc bias, the energy spectrum consists of a periodic repetition of one-dimensional energy band multiplets, with one member in the multiplet being strictly flat. The corresponding flatband eigenstates cease to be compact, and are localized exponentially perpendicular to the dc field direction, and superexponentially along the dc field direction. The band multiplets are characterized by a topological quantized winding number (Zak phase), which changes at specific values of the varied dc field strength. These changes are induced by gap closings between the flat and dispersive bands, and reflect the number of these closings.
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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bychek A. A., Maksimov D. N., Kolovsky A. R.
Заглавие : NOON state of Bose atoms in the double-well potential via an excited-state quantum phase transition
Коллективы : Russian Foundation for Basic Research, Government of Krasnoyarsk Territory; Krasnoyarsk Region Science and Technology Support Fund [16-42-240746]
Место публикации : Phys. Rev. A. - 2018. - Vol. 97, Is. 6. - Ст.063624. - ISSN 2469-9926, DOI 10.1103/PhysRevA.97.063624. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 60. - The authors acknowledge financial support from the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory and the Krasnoyarsk Region Science and Technology Support Fund through Grant No. 16-42-240746.
Предметные рубрики: EINSTEIN CONDENSATE
SUPERPOSITION STATES
NOBEL LECTURE
ENTANGLEMENT
Аннотация: We suggest a simple scheme for creating a NOON state of repulsively interacting Bose atoms in the double-well potential. The protocol consists of two steps. First, by setting atom-atom interactions to zero, the system is driven to the upper excited state. Second, the interactions are slowly increased and, simultaneously, the interwell tunneling is decreased to zero. We analyze fidelity of the final state to the NOON state depending on the number of atoms, ramp rate, and fluctuations of the system parameters. It is shown that for a given fidelity the ramp rate scales algebraically with the number of atoms.
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4.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Shepelyansky D. L.
Заглавие : Dynamical thermalization in isolated quantum dots and black holes
Место публикации : Europhys. Lett. - 2017. - Vol. 117, Is. 1. - Ст.10003. - ISSN 02955075 (ISSN), DOI 10.1209/0295-5075/117/10003
Примечания : Cited References: 48. - This research is supported in part by Pogramme Investissements d'Avenir ANR-11-IDEX-0002-02, reference ANR-10-LABX-0037-NEXT (project THETRACOM).
Аннотация: We study numerically a model of quantum dot with interacting fermions. At strong interactions with small conductance the model is reduced to the Sachdev-Ye-Kitaev black-hole model while at weak interactions and large conductance it describes a Landau-Fermi liquid in a regime of quantum chaos. We show that above the Aberg threshold for interactions there is an onset of dynamical themalization with the Fermi-Dirac distribution describing the eigenstates of an isolated dot. At strong interactions in the isolated black-hole regime there is also the onset of dynamical thermalization with the entropy described by the quantum Gibbs distribution. This dynamical thermalization takes place in an isolated system without any contact with a thermostat. We discuss the possible realization of these regimes with quantum dots of 2D electrons and cold ions in optical lattices. © CopyrightEPLA, 2017.
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5.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Treating many-body quantum systems by means of classical mechanics
Коллективы : International Conference on Nonlinear Dynamics of Electronic Systems
Место публикации : Springer Proceedings in Physics: Springer, 2017. - Vol. 191. - P.37-48. - ISSN 09308989 (ISSN); 9783319478081 (ISBN), DOI 10.1007/978-3-319-47810-4_4
Примечания : Cited References: 16
Ключевые слова (''Своб.индексиров.''): dynamical systems--dynamics--hubbard model--optical lattices--quantum optics--classical mechanics--energy spectra--identical particles--many-body quantum systems--paradigmatic models--quantum many-body systems--quantum physics--semiclassical approaches--quantum theory
Аннотация: Many-body physics of identical particles is commonly believed to be a sovereign territory of Quantum Mechanics. The aim of this contribution is to show that it is actually not the case and one gets useful insights into a quantum many-body system by using the theory of classical dynamical systems. In the contribution we focus on one paradigmatic model of many-body quantum physics - the Bose– Hubbard model which, in particular, describes interacting ultracold Bose atoms in an optical lattice. We show how one can find/deduce the energy spectrum of the Bose–Hubbard model by using a kind of the semiclassical approach. © Springer International Publishing AG 2017.
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6.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bogoliubov depletion of the fragmented condensate in the bosonic flux ladder
Место публикации : Phys. Rev. A: American Physical Society, 2017. - Vol. 95, Is. 3. - Ст.033622. - ISSN 10502947 (ISSN), DOI 10.1103/PhysRevA.95.033622
Примечания : Cited References: 31. - The author acknowledges discussions with A. Eckardt, the hospitality of MPIPKS in Dresden, and financial support from Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Krasnoyarsk Region Science and Technology Support Fund through Grant No. 16-42-240746.
Ключевые слова (''Своб.индексиров.''): bosons--crystal lattices--ladders--optical lattices--bogoliubov--dispersion relations--interacting bosons--ultracold atoms--ground state
Аннотация: We theoretically analyze the ground state of weakly interacting bosons in the flux ladder - the system that has been recently realized by means of ultracold atoms in the specially designed optical lattice [M. Atala, M. Aidelsburger, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Nat. Phys. 10, 588 (2014)1745-247310.1038/nphys2998]. It is argued that, for the system parameters corresponding to two degenerate minima in the Bloch dispersion relation, the ground state is a fragmented condensate. We study the Bogoliubov depletion of this condensate and discuss the role of boundary conditions. © 2017 American Physical Society.
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7.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Topological phase transitions in tilted optical lattices
Место публикации : Phys. Rev. A. - 2018. - Vol. 98, Is. 1. - Ст.013603. - ISSN 2469-9926, DOI 10.1103/PhysRevA.98.013603. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 17
Предметные рубрики: BLOCH OSCILLATIONS
REALIZATION
BANDS
MODEL
Аннотация: We analyze the energy spectrum and eigenstates of cold atoms in a tilted brick-wall optical lattice. When the tilt is applied, the system exhibits a sequence of topological phase transitions reflected in an abrupt change of the eigenstates. It is demonstrated that these topological phase transitions can be easily detected in a laboratory experiment by observing Bloch oscillations of cold atoms.
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8.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Kolovsky A. R., Wimberger, Sandro
Заглавие : Atomtronics: Landauer-Büttiker equation for bosonic carriers
Коллективы : Controlling quantum matter: From ultracold atoms to solids, Humboldt Kolleg, Vilnius University, Lithuanian Physical Society
Место публикации : Humboldt Kolleg. Controlling quantum matter: From ultracold atoms to solids: conference materials. - 2018
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9.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Non-equilibrium dynamics of open many-body systems
Коллективы : Novel Paradigms in Many-Body Physics from Open Quantum Systems, International Workshop
Место публикации : Novel paradigms in many-body physics from open quantum systems: international workshop. - 2018. - https://www.pks.mpg.de/mbpoqs18/poster-contributions/
Аннотация: In the contribution I address two particular problems of non-equilibrium dynamics of an open many-body system. The first problem is evaporation dynamics of weakly interacting fermions. The second problem is equilibration dynamics between two bosonic reservoirs with different chemical potentials.
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10.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Wannier-Stark states in two dimensions
Коллективы : International Conference on Quantum Optics
Место публикации : International conference on quantum optics: book of abstracts . - 2018. - P.52
Аннотация: Wannier-Stark states are the second after Bloch waves fundamental states of a quantum particle in a lattice. These states are well understood in one dimen- sion but their extension into two dimensions continues to surprise researches. In the talk I briefly review main properties of Wannier-Stark states of a quan- tum particle in ‘ordinary’ two-dimensional lattices and then highlight recent results for lattices with flat Bloch bands, where Wannier-Stark states possess interesting topological properties.
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