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Kolovsky, A. R.
Landau-Zener tunnelling in 2D periodic structures in the presence of a gauge field: I. Tunnelling rates / A. R. Kolovsky // J. Phys. B. - 2013. - Vol. 46, Is. 14. - Ст. 145301. - P. , DOI 10.1088/0953-4075/46/14/145301. - Cited References: 48. - The authors acknowledge financial support of Russian Academy of Sciences through the SB RAS integration project no. 29 Dynamics of atomic Bose-Einstein condensates in optical lattices and the Russian Foundation for Basic Research (RFBR) project no. 12-02-00094 Tunneling of the macroscopic quantum states. . - ISSN 0953-4075

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
OPTICAL BLOCH OSCILLATIONS
   WANNIER-STARK STATES
   MAGNETIC-FIELDS
   NEUTRAL ATOMS
   COLD ATOMS
   LATTICES
   ELECTRONS
   ARRAYS
Аннотация: We study the interband Landau-Zener tunnelling of a quantum particle in the Hall configuration, i.e., in the presence of gauge field (for example, magnetic field for a charged particle) and in-plane potential field (electric field for a charged particle) normal to the lattice plane. The interband tunnelling is induced by the potential field and for the vanishing gauge field is described by the common Landau-Zener theory. We generalize this theory for a nonzero gauge field. The depletion rates of low-energy bands are calculated by using a semi-analytical method of the truncated Floquet matrix.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Коловский, Андрей Радиевич
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Landau-Zener tunnelling in 2D periodic structures in the presence of a gauge field: II. Electric breakdown / D. N. Maksimov [et al.] // J. Phys. B. - 2013. - Vol. 46, Is. 14. - Ст. 145302. - P. , DOI 10.1088/0953-4075/46/14/145302. - Cited References: 16. - The authors acknowledge financial support of Russian Academy of Sciences through the SB RAS integration project no. 29 Dynamics of atomic Bose-Einstein condensates in optical lattices and the RFBR project no. 12-02-00094 Tunneling of the macroscopic quantum states. DVM also acknowledges the support of RFBR through grants no. 12-02-90807 and no. 12-02-31416. . - ISSN 0953-4075

РУБ Optics + Physics, Atomic, Molecular & Chemical

Аннотация: We analyse dynamics of a quantum particle in a square lattice in the Hall configuration beyond the single-band approximation. For vanishing gauge (magnetic) field this dynamics is defined by the inter-band Landau-Zener tunnelling, which is responsible for the phenomenon known as the electric breakdown. We show that in the presence of a gauge field this phenomenon is absent, at least, in its common sense. Instead, the Landau-Zener tunnelling leads to the appearance of a finite current which flows in the direction orthogonal to the vector of a potential (electric) field.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia
Ilichev Pacific Oceanol Inst, Vladivostok 690041, Russia

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Chesnokov, I. Yu.; Makarov, D. V.; Kolovsky, A. R.; Коловский, Андрей Радиевич
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Landau-zener tunneling in 2d periodic structures in the presense of a gauge field / D. N. Maksimov [и др.] // V Euro-Asian simposium "Trend in MAGnetism": Nanomagnetism : abstracts. - Vladivostok : FEFU, 2013 = EASTMag-2013. - P71 . - ISBN 978-5-7444-3124-2

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Chesnokov, I. Yu.; Чесноков, Илья Юрьевич; Makarov, D. V.; Макаров Д.В.; Kolovsky, A. R.; Коловский, Андрей Радиевич; Euro-Asian Symposium "Trends in MAGnetism": Nanomagnetism(5 ; 2013 ; Sept. ; 15-21 ; Vladivostok)
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Nucleation in finite topological systems during continuous metastable quantum phase transitions / O. Fialko [et al.] // Phys. Rev. Lett. - 2012. - Vol. 108, Is. 25. - Ст. 250402, DOI 10.1103/PhysRevLett.108.250402. - Cited References: 31. - We acknowledge stimulating discussions with Jean-Sebastien Caux and Lincoln Carr. A. K. thanks Massey University for hospitality. O. F., M. C. D., and J. B. were supported by the Marsden Fund (Contract No. MAU0910) administrated by the Royal Society of New Zealand. . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:
SYMMETRY-BREAKING
   VORTEX NUCLEATION
   BROKEN SYMMETRY
   THERMALIZATION
   SUPERFLUID
   DYNAMICS
   STATE
Аннотация: Finite topological quantum systems can undergo continuous metastable quantum phase transitions to change their topological nature. Here we show how to nucleate the transition between ring currents and dark soliton states in a toroidally trapped Bose-Einstein condensate. An adiabatic passage to wind and unwind its phase is achieved by explicit global breaking of the rotational symmetry. This could be realized with current experimental technology.

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Держатели документа:
[Fialko, Oleksandr
Delattre, Marie-Coralie
Brand, Joachim] Massey Univ, Ctr Theoret Chem & Phys, Auckland 0745, New Zealand
[Fialko, Oleksandr
Delattre, Marie-Coralie
Brand, Joachim] Massey Univ, New Zealand Inst Adv Study, Auckland 0745, New Zealand
[Kolovsky, Andrey R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.] Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Fialko, O.; Delattre, M.C.; Brand, J.; Kolovsky, A. R.; Коловский, Андрей Радиевич
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Kolovsky, A. R.
Wannier-Stark states and Bloch oscillations in the honeycomb lattice / A. R. Kolovsky, E. N. Bulgakov // Phys. Rev. B. - 2013. - Vol. 87, Is. 3. - Ст. 033602. - P. , DOI 10.1103/PhysRevA.87.033602 . - ISSN 1050-2947
Кл.слова (ненормированные):
Bloch oscillations -- Chaotic state -- Honeycomb lattices -- Localization length -- Localized state -- Quantum particles -- Static fields -- Tight-binding approximations -- Solid state physics -- Honeycomb structures
Аннотация: We study a quantum particle in a tilted honeycomb lattice in the tight-binding approximation. First we discuss the particle eigenstates, i.e., the stationary Wannier-Stark states. These states are proved to be extended states for the rational directions of the static field and localized states for the irrational directions. We find energy bands of the extended states and analyze the localized states. It is shown, in particular, that the localized honeycomb Wannier-Stark states are chaotic states with irregular dependence of the localization length on the static field magnitude. Second we discuss Bloch oscillations of the quantum particle. Irregular Bloch oscillations for irrational directions are observed. В© 2013 American Physical Society.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Коловский, Андрей Радиевич
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Kolovsky, A. R.
Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice / A. R. Kolovsky, G. Mantica // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. - 2011. - Vol. 83, Is. 4. - Ст. 041123, DOI 10.1103/PhysRevE.83.041123 . - ISSN 1539-3755
Кл.слова (ненормированные):
Critical value -- Directed transport -- Drift velocities -- Electric and magnetic fields -- Electric field magnitude -- Electric field vectors -- Free space -- Initial conditions -- Lattice plane -- Quantum dynamics -- Quantum particles -- Quantum wave packets -- Two dimensional square lattice -- Two-dimensional lattices -- Electric fields -- Magnetic fields -- Quantum theory -- Vector spaces -- Two dimensional
Аннотация: This paper studies the quantum dynamics of a charged particle in a two-dimensional square lattice, under the influence of electric and magnetic fields, the former being aligned with one of the lattice axes and the latter perpendicular to the lattice plane. While in free space these dynamics consist of uniform motions in the direction orthogonal to the electric field vector, we find that, in a lattice, this directed drift takes place only for specific initial conditions and for electric field magnitudes smaller than a critical value. Otherwise, the quantum wave packet spreads ballistically in both directions orthogonal to the electric field. We quantify this ballistic spreading and identify the subspace of initial conditions ensuring directed transport with the drift velocity. We also describe the effect of disorder in the system. В© 2011 American Physical Society.

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Держатели документа:
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Siberian Federal University, 660041 Krasnoyarsk, Russian Federation
Center for Nonlinear and Complex Systems, University of Insubria, I-22100 Como, Italy
CNISM Unita di Como, I.N.F.N. Sezione di Milano, Italy

Доп.точки доступа:
Mantica, G.; Коловский, Андрей Радиевич
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Kolovsky, A. R.
Simulating cyclotron-Bloch dynamics of a charged particle in a 2D lattice by means of cold atoms in driven quasi-1D optical lattices / A. R. Kolovsky // Front. Phys. - 2012. - Vol. 7, Is. 1. - P. 3-7, DOI 10.1007/s11467-011-0202-3. - Cited References: 11. - This work was partially supported by Russian Foundation for Basic Research, grant RFBR-10-02-00171-a. . - ISSN 2095-0462

РУБ Physics, Multidisciplinary
Рубрики:
MAGNETIC-FIELDS
ELECTRONS
Кл.слова (ненормированные):
optical lattice -- Bloch dynamics -- cyclotron oscillations -- cold atoms
Аннотация: Quantum dynamics of a charged particle in a two-dimensional (2D) lattice subject to magnetic and electric fields is a rather complicated interplay between cyclotron oscillations (the case of vanishing electric field) and Bloch oscillations (zero magnetic field), details of which has not yet been completely understood. In the present work we suggest to study this problem by using cold atoms in optical lattices. We introduce a one-dimensional (1D) model which can be easily realized in laboratory experiments with quasi-1D optical lattices and show that this model captures many features of the cyclotron-Bloch dynamics of the quantum particle in 2D square lattices.

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Держатели документа:
[Kolovsky, Andrey R.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.] Siberian Fed Univ, Inst Engn Phys, Krasnoyarsk 660041, Russia

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Коловский, Андрей Радиевич
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Kolovsky, A. R.
Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice. II. Arbitrary electric field directions / A. R. Kolovsky, I. Chesnokov, G. Mantica // Phys. Rev. E. - 2012. - Vol. 86, Is. 4. - Ст. 41146, DOI 10.1103/PhysRevE.86.041146. - Cited References: 15. - We thank Jean Bellissard and Italo Guarneri for illuminating comments on the nature of the energy spectrum for irrational beta. Computations for this work have been performed on the CSN4 cluster of INFN in Pisa. G. M. acknowledges the support of MIUR-PRIN project "Nonlinearity and Disorder in Classical and Quantum Transport Processes." . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
MAGNETIC-FIELDS
LOCALIZATION
Аннотация: We study the quantum dynamics of a charged particle in a two-dimensional lattice, subject to constant and homogeneous electric and magnetic fields. We find that different regimes characterize these motions, depending on a combination of conditions, corresponding to weak and strong electric field intensities, rational or irrational directions of the electric field with respect to the lattice, and small or large values of the magnetic (Peierls) phase.

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Держатели документа:
[Kolovsky, Andrey R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.
Chesnokov, Ilya] Siberian Fed Univ, Krasnoyarsk 660041, Russia
[Mantica, Giorgio] Univ Insubria, Ctr Nonlinear & Complex Syst, Dept Sci & High Technol, I-22100 Como, Italy
[Mantica, Giorgio] INFN Sez Milano, Milan, Italy
[Mantica, Giorgio] CNISM Unita Como, Como, Italy

Доп.точки доступа:
Chesnokov, I. Yu.; Mantica, G.; Коловский, Андрей Радиевич
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Kolovsky, A. R.
Energetically constrained co-tunneling of cold atoms / A. R. Kolovsky, J. Link, S. Wimberger // New J. Phys. - 2012. - Vol. 14. - Ст. 75002, DOI 10.1088/1367-2630/14/7/075002. - Cited References: 18. - The present project was supported by the Excellence Initiative (Enable Fund of the Faculty of Physics and Astronomy, Heidelberg University). Moreover, SW acknowledges financial support from the DFG through FOR760, the Helmholtz Alliance Program of the Helmholtz Association (contract number HA-216: Extremes of density and temperature: cosmic matter in the laboratory), and by the Heidelberg Graduate School of Fundamental Physics (grant number GSC 129/1) and AK acknowledges support from the Russian Foundation for Basic Research (project number 12-02-000094-a: Tunneling of the macroscopic quantum states) and by the Siberian Branch of RAS (project no. 29: Dynamics of atomic Bose-Einstein condensates in optical lattices). AK is very grateful for the hospitality of the Institute of Theoretical Physics of Heidelberg University. . - ISSN 1367-2630

РУБ Physics, Multidisciplinary
Рубрики:
LATTICE
Аннотация: We study under-barrier tunneling for a pair of energetically bound bosonic atoms in an optical lattice with a barrier. We identify the conditions under which this exotic molecule tunnels as a point particle with the coordinate given by the bound pair center of mass and discuss the atomic co-tunneling beyond this regime. In particular, we quantitatively analyze resonantly enhanced co-tunneling, where two interacting atoms penetrate the barrier with higher probability than a single atom.

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Держатели документа:
[Kolovsky, Andrey R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
[Link, Julia
Wimberger, Sandro] Univ Heidelberg, Inst Theoret Phys, D-69120 Heidelberg, Germany

Доп.точки доступа:
Link, J.; Wimberger, S.; Коловский, Андрей Радиевич
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10.

Kolovsky, A. R.
Driven Harper model / A. R. Kolovsky, G. . Mantica // Phys. Rev. B. - 2012. - Vol. 86, Is. 5. - Ст. 54306, DOI 10.1103/PhysRevB.86.054306. - Cited References: 14. - Computations for this work have been performed on the CSN4 cluster of INFN in Pisa. G. M. acknowledges the support of MIUR-PRIN project "Nonlinearity and disorder in classical and quantum transport processes" and A. K. acknowledges the support of SB RAS project "Dynamics of atomic Bose-Einstein condensates in optical lattices" and RFBR project "Tunneling of the macroscopic quantum states." . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
MAGNETIC-FIELDS
ELECTRONS
DYNAMICS
Аннотация: We analyze the driven Harper model, which appears in the problem of tight-binding electrons in the Hall configuration (normal to the lattice plane magnetic field plus in-plane electric field). The presence of an electric field extends the celebrated Harper model, which is parametrized by the Peierls phase, into the driven Harper model, which is additionally parametrized by two Bloch frequencies, associated with the two components of the electric field. We show that the eigenstates of the driven Harper model are either extended or localized, depending on the commensurability of the Bloch frequencies. This results holds for both rational and irrational values of the Peierls phase. In the case of incommensurate Bloch frequencies we provide an estimate for the wave-function localization length.

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Держатели документа:
[Kolovsky, Andrey R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
[Mantica, Giorgio] Univ Insubria, Ctr Nonlinear & Complex Syst, I-22100 Como, Italy
[Mantica, Giorgio] CNISM Unita Como, I-22100 Como, Italy
[Mantica, Giorgio] INFN Sez Milano, Milan, Italy

Доп.точки доступа:
Mantica, G.; Коловский, Андрей Радиевич
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