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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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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.
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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Kolovsky, A. R.
Hall conductivity beyond the linear response regime / A. R. Kolovsky // Europhys. Lett. - 2011. - Vol. 96, Is. 5. - Ст. 50002, DOI 10.1209/0295-5075/96/50002. - Cited References: 24. - This work was supported by Russian Foundation for Basic Research, grant RFBR-10-02-00171-a. . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
MAGNETIC-FIELDS
   ANTIDOT ARRAYS
   NEUTRAL ATOMS
   SUPERLATTICES
   MAGNETORESISTANCE
   TRANSPORT
   ELECTRONS
Аннотация: This paper introduces a semi-analytical method for calculating the Hall conductivity in the single-band approximation. The method goes beyond the linear response theory and thus, it formally imposes no limitation on the electric-field magnitude. It is shown that, when the Bloch frequency exceeds the cyclotron frequency, the Hall current decreases with increasing electric field. The obtained results can be directly applied to the cold Bose atoms in a 2D optical lattice, where the single-band approximation is well justified. Copyright (C) EPLA, 2011

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Держатели документа:
[Kolovsky, A. R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, A. R.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Siberian Federal University, 660041 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Коловский, Андрей Радиевич
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Nazmitdinov, R. G.
Spin control in semiconductor quantum wires: Rashba and Dresselhaus interaction / R. G. Nazmitdinov, K. N. Pichugin, M. . Valin-Rodriguez // Phys. Rev. B. - 2009. - Vol. 79, Is. 19. - Ст. 193303, DOI 10.1103/PhysRevB.79.193303. - Cited References: 20. - This work was partly supported by Ministerio de Ciencia e Innovacion (Spain), Grant No. FIS2008-00781/FIS and RFBR under Grants No. 08-02-00118 and No. 09-02-98005 (Russia). . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
MAGNETIC-FIELDS
SPINTRONICS
Кл.слова (ненормированные):
semiconductor quantum wires -- spin polarised transport -- spin-orbit interactions
Аннотация: We show that spin precession in a semiconductor quantum wire, caused by the Rashba and the Dresselhaus interactions (both of arbitrary strengths), can be suppressed by dint of an in-plane magnetic field. Using a condition of the translational invariance in the longitudinal coordinate, we found another type of symmetry, which arises at a particular set of intensity and orientation of the magnetic field and explains this suppression. Based on our findings, we propose a transport experiment to measure the strengths of the Rashba and the Dresselhaus interactions.

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Держатели документа:
[Nazmitdinov, R. G.] Univ Illes Balears, Dept Fis, E-07122 Palma de Mallorca, Spain
[Pichugin, K. N.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Valin-Rodriguez, M.] Conselleria Educ Cultura, E-07004 Palma de Mallorca, Spain
[Nazmitdinov, R. G.] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
ИФ СО РАН
Departament de Fisica, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russian Federation
Kirensky Institute of Physics, Akademgorodok 50/38, 660036 Krasnoyarsk, Russian Federation
Conselleria d'Educacio i Cultura, E-07004 Palma de Mallorca, Spain

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Valin-Rodriguez, M.
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    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 Reference Count: 11. - Гранты: This work was partially supported by Russian Foundation for Basic Research, grant RFBR-10-02-00171-a. - Финансирующая организация: Russian Foundation for Basic Research [RFBR-10-02-00171-a] . - ISSN 2095-0462
Рубрики:
MAGNETIC-FIELDS
   ELECTRONS
Кл.слова (ненормированные):
optical lattice -- bloch dynamics -- cyclotron oscillations -- cold atoms -- bloch dynamics -- cold atoms -- cyclotron oscillations -- optical lattice
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:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Inst Engn Phys, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич
}
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