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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Landau-Zener tunnelling in 2D periodic structures in the presence of a gauge field: I. Tunnelling rates
Место публикации : J. Phys. B. - 2013. - Vol. 46, Is. 14. - Ст.145301. - P. - ISSN 0953-4075, DOI 10.1088/0953-4075/46/14/145301
Примечания : 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.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Simulating cyclotron-Bloch dynamics of a charged particle in a 2D lattice by means of cold atoms in driven quasi-1D optical lattices
Место публикации : Front. Phys. - 2012. - Vol. 7, Is. 1. - P.3-7. - ISSN 2095-0462, DOI 10.1007/s11467-011-0202-3
Примечания : Cited References: 11. - This work was partially supported by Russian Foundation for Basic Research, grant RFBR-10-02-00171-a.
Предметные рубрики: MAGNETIC-FIELDS
ELECTRONS
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Chesnokov I. Yu., Mantica G.
Заглавие : Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice. II. Arbitrary electric field directions
Место публикации : Phys. Rev. E: American Physical Society, 2012. - Vol. 86, Is. 4. - Ст.41146. - ISSN 1539-3755, DOI 10.1103/PhysRevE.86.041146
Примечания : 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."
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Mantica G.
Заглавие : Driven Harper model
Место публикации : Phys. Rev. B: American Physical Society, 2012. - Vol. 86, Is. 5. - Ст.54306. - ISSN 1098-0121, DOI 10.1103/PhysRevB.86.054306
Примечания : 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."
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Hall conductivity beyond the linear response regime
Место публикации : Europhys. Lett. - 2011. - Vol. 96, Is. 5. - Ст.50002. - ISSN 0295-5075, DOI 10.1209/0295-5075/96/50002
Примечания : Cited References: 24. - This work was supported by Russian Foundation for Basic Research, grant RFBR-10-02-00171-a.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Nazmitdinov R. G., Pichugin K. N., Valin-Rodriguez M.
Заглавие : Spin control in semiconductor quantum wires: Rashba and Dresselhaus interaction
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2009. - Vol. 79, Is. 19. - Ст.193303. - ISSN 1098-0121, DOI 10.1103/PhysRevB.79.193303
Примечания : 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).
Предметные рубрики: MAGNETIC-FIELDS
SPINTRONICS
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Simulating cyclotron-Bloch dynamics of a charged particle in a 2D lattice by means of cold atoms in driven quasi-1D optical lattices
Место публикации : Front. Phys. - 2012. - Vol. 7, Is. 1. - P.3-7. - ISSN 2095-0462, DOI 10.1007/s11467-011-0202-3
Примечания : 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]
Предметные рубрики: MAGNETIC-FIELDS
ELECTRONS
Ключевые слова (''Своб.индексиров.''): 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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