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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) : Maksimov D. N., Chesnokov I. Yu., Makarov D. V., Kolovsky A. R.
Заглавие : Landau-Zener tunnelling in 2D periodic structures in the presence of a gauge field: II. Electric breakdown
Место публикации : J. Phys. B. - 2013. - Vol. 46, Is. 14. - Ст.145302. - P. - ISSN 0953-4075, DOI 10.1088/0953-4075/46/14/145302
Примечания : 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.
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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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Maksimov D. N., Chesnokov I. Yu., Makarov D. V., Kolovsky A. R.
Заглавие : Landau-zener tunneling in 2d periodic structures in the presense of a gauge field
Коллективы : Euro-Asian Symposium "Trends in MAGnetism": Nanomagnetism
Место публикации : V Euro-Asian simposium "Trend in MAGnetism": Nanomagnetism: abstracts. - Vladivostok: FEFU, 2013. - С. 71. - ISBN 978-5-7444-3124-2
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fialko O., Delattre M.C., Brand J., Kolovsky A. R.
Заглавие : Nucleation in finite topological systems during continuous metastable quantum phase transitions
Место публикации : Phys. Rev. Lett.: American Physical Society, 2012. - Vol. 108, Is. 25. - Ст.250402. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.108.250402
Примечания : 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.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Bulgakov E. N.
Заглавие : Wannier-Stark states and Bloch oscillations in the honeycomb lattice
Место публикации : Phys. Rev. B. - 2013. - Vol. 87, Is. 3. - Ст.033602. - P. - ISSN 1050-2947, DOI 10.1103/PhysRevA.87.033602
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Mantica G.
Заглавие : Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice
Место публикации : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. - 2011. - Vol. 83, Is. 4. - Ст.041123. - ISSN 1539-3755, DOI 10.1103/PhysRevE.83.041123
Ключевые слова (''Своб.индексиров.''): 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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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., Link J., Wimberger S.
Заглавие : Energetically constrained co-tunneling of cold atoms
Место публикации : New J. Phys.: IOP Publishing Ltd, 2012. - Vol. 14. - Ст.75002. - ISSN 1367-2630, DOI 10.1088/1367-2630/14/7/075002
Примечания : 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.
Предметные 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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10.

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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