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Kolovsky, A. R.
Persistent current of atoms in a ring optical lattice / A. R. Kolovsky // New J. Phys. - 2006. - Vol. 8. - Ст. 197, DOI 10.1088/1367-2630/8/9/197. - Cited References: 22 . - ISSN 1367-2630

РУБ Physics, Multidisciplinary
Рубрики:
SUPERFLUIDITY
Кл.слова (ненормированные):
Fluid dynamics -- Random processes -- Spectrum analysis -- High energy spectra -- Quasimomentum -- Random matrix theory -- High energy physics
Аннотация: We consider a small ensemble of Bose atoms in a ring optical lattice with weak disorder. The atoms are assumed to be initially prepared in a superfluid state with nonzero quasimomentum and, hence, may carry matter current. It is found that the atomic current persists in time for a low value of the quasimomentum but decays exponentially for a high (around one quarter of the Brillouin zone) quasimomentum. The explanation is given in terms of low- and high-energy spectra of the Bose-Hubbard model, which we describe using the Bogoliubov and random matrix theories, respectively.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Max-Planck-Institut fur Physik Komplexer Systeme, 01187 Dresden, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Коловский, Андрей Радиевич
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Kolovsky, A. R.
Open Fermi-Hubbard model: Landauer's versus master equation approaches / A. R. Kolovsky // Phys. Rev. B. - 2020. - Vol. 102, Is. 17. - Ст. 174310, DOI 10.1103/PhysRevB.102.174310. - 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 . - ISSN 2469-9950
Кл.слова (ненормированные):
Relaxation processes -- Fermi particles -- Landauer formalisms -- Master equations -- Non equilibrium -- Quantum transport -- Quasimomentum -- Rate of relaxation -- Simple modeling
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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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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    Bloch oscillations of Bose-Einstein condensates: Quantum counterpart of dynamical instability / A. R. Kolovsky, H. J. Korsch, E. M. Graefe // Phys. Rev. A. - 2009. - Vol. 80, Is. 2, DOI 10.1103/PhysRevA.80.023617. - Cited Reference Count: 35. - Гранты: We thank D. Witthaut and F. Trimborn for valuable comments. Support from the Deutsche Forschungsgemeinschaft via the Graduiertenkolleg "Nichtlineare Optik und Ultrakurzzeitphysik" is gratefully acknowledged. - Финансирующая организация: Deutsche Forschungsgemeinschaft . - ISSN 1050-2947
Рубрики:
OPTICAL LATTICE
   ATOMS
Кл.слова (ненормированные):
Bloch dynamics -- Bloch oscillations -- Bogoliubov -- Bose-Einstein condensates -- Chaotic dynamics -- Cold atoms -- Decoherence -- Dinger equation -- Dynamical instabilities -- Equipartition -- Hubbard -- Mean-field -- Optical lattices -- Quantum counterpart -- Quasi-one-dimensional -- Quasimomentum -- Bose-Einstein condensation -- Hamiltonians -- Nonlinear equations -- Steam condensers -- Stability
Аннотация: We study the Bloch dynamics of a quasi-one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type. The corresponding mean-field system described by a discrete nonlinear Schrodinger equation can exhibit dynamical (or modulation) instability due to chaotic dynamics and equipartition over the quasimomentum modes. It is shown that these phenomena are related to Bogoliubov's depletion of the Bose-Einstein condensate and a decoherence of the condensate in the many-particle description. Three types of dynamics are distinguished: (i) decaying oscillations in the region of dynamical instability and (ii) persisting Bloch oscillations or (iii) periodic decay and revivals in the region of stability.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660036, Russia
Tech Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.; Graefe, E. M.
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