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1.
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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2.
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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3.
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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4.
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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5.
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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6.
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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7.
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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8.
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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9.
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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11.
Вид документа
: Однотомное издание
Шифр издания
: В37/К 56 рукописный текст
Автор(ы)
:
Коловский
,
Андрей
Радиевич
Заглавие
: Особенности возникновения стохастичности в нелинейных квантовых системах : дис. на соиск. уч. степени канд. физ.-мат. наук : 01.04.03
Выходные данные
: Красноярск, 1984
Колич.характеристики
:138 л.
Коллективы
: Академия наук СССР, Сибирское отделение АН СССР, Институт физики им. Л.В. Киренского Сибирского отделения АН СССР
Примечания
: Библиогр.: 76 назв.
ГРНТИ
: 29.05.15
ББК
: В314я031
Экземпляры
:Дс(1)
Свободны
: Дс(1)
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12.
Вид документа
: Статья из журнала
Шифр издания
:
Автор(ы)
: Kolovsky A. R.
Заглавие
: Master equation approach to conductivity of bosonic and fermionic carriers in one- and two-dimensional lattices
Коллективы
: Russian Academy of Sciences through the SB RAS integration Project [29]
Место публикации
: Ann. Phys.-Berlin: Wiley-VCH Verlag, 2014. - Vol. 526, Is. 1/2. - P.102-111. - ISSN 0003-3804,
DOI
10.1002/andp.201300169. - ISSN 1521-3889
Примечания
: Cited References: 24. - The author express his gratitude to D.N. Maksimov for useful remarks and 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).
Предметные рубрики:
CONDUCTANCE
Ключевые слова
(''Своб.индексиров.''): diffusive current--the hall effect
Аннотация:
The master equation approach to diffusive current of bosonic or fermionic carriers in one- and two-dimensional lattices is discussed. This approach is shown to reproduce all known results of the linear response theory, including the integer quantum Hall effect for fermionic carriers. The main advantage of the approach is that it allows to calculate the current beyond the linear response regime where new effects are found. In particular, the Hall current can be inverted by changing orientation of the static force (electric field) relative to the primary axes of the lattice.
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13.
Вид документа
: Статья из журнала
Шифр издания
:
Автор(ы)
: Bulgakov E. N., Kolovsky A. R.
Заглавие
: Induced tunneling and localization for a quantum particle in tilted two-dimensional lattices
Коллективы
: Russian Academy of Sciences through the SB RAS [29]
Место публикации
: Phys. Rev. B: American Physical Society, 2014. - Vol. 89, Is. 3. - Ст.035116. - ISSN 1098-0121,
DOI
10.1103/PhysRevB.89.035116. - ISSN 1550-235X
Примечания
: Cited References: 17. - The authors express their gratitude to D. N. Maksimov for useful remarks and acknowledge financial support of the Russian Academy of Sciences through the SB RAS integration project No. 29 Dynamics of atomic Bose-Einstein condensates in optical lattices.
Предметные рубрики:
DYNAMIC LOCALIZATION
CHARGED-PARTICLE
OPTICAL LATTICE
ELECTRIC-FIELD
DIRAC POINTS
Аннотация:
We consider a quantum particle in tilted two-dimensional lattices in the tight-binding approximations. We show that for certain lattice geometries the particle can freely move across the lattice in the direction perpendicular to the vector of the static force. This effect is argued to be analog of the photon-induced tunneling in driven one-dimensional lattices. We calculate the particle dispersion relation by using a method based on the Bogoliubov-Mitropolskii averaging technique from the theory of dynamical systems. This dispersion relation draws the analogy with driven one-dimensional lattices further by eventually showing band collapses when a control parameter is varied.
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14.
Вид документа
: Статья из журнала
Шифр издания
:
Автор(ы)
: Kolovsky A. R., Grusdt F., Fleischhauer M.
Заглавие
: Quantum particle in a parabolic lattice in the presence of a gauge field
Коллективы
: TU Kaiserslatern; [DFG/GSC 266]
Место публикации
: Phys. Rev. A: American Physical Society, 2014. - Vol. 89, Is. 3. - Ст.33607. - ISSN 1050-2947,
DOI
10.1103/PhysRevA.89.033607. - ISSN 1094-1622
Примечания
: Cited References: 22. - A.K. acknowledge the hospitality and financial support of TU Kaiserslatern, where this work was completed. F.G. was supported by a fellowship through the Excellence Initiative (DFG/GSC 266).
Предметные рубрики:
TOPOLOGICAL EDGE STATES
OPTICAL LATTICES
ATOMS
Аннотация:
We analyze the eigenstates of a two-dimensional lattice with additional harmonic confinement in the presence of an artificial magnetic field. While the softness of the confinement makes a distinction between bulk and edge states difficult, the interplay of harmonic potential and lattice leads to a different classification of states in three energy regions: In the low-energy regime, where lattice effects are small, all states are transporting topologically nontrivial states. For large energies above a certain critical value, the periodic lattice causes localization of all states through a mechanism similar toWannier-Stark localization. In the intermediate energy regime transporting, topologically nontrivial states coexist with topologically trivial countertransporting chaotic states. The character of the eigenstates, in particular their transport properties, are studied numerically and are explained using a semiclassical analysis.
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15.
Вид документа
: Статья из журнала
Шифр издания
:
Автор(ы)
: Chesnokov I. Yu., Kolovsky A. R.
Заглавие
: Landau-Stark states in finite lattices and edge-induced Bloch oscillations
Коллективы
: Russian Academy of Sciences through the SB RAS [29]; RFBR [14-02-31148]
Место публикации
: Europhys. Lett. - 2014. - Vol. 106, Is. 5. - Ст.50001. - ISSN 0295-5075,
DOI
10.1209/0295-5075/106/50001. - ISSN 1286-4854
Примечания
: Cited References: 23. - Financial support of the Russian Academy of Sciences through the SB RAS integration project No. 29 (Dynamics of atomic Bose-Einstein condensates in optical lattices) and RFBR project No. 14-02-31148 (Transport of ultacold atoms subject to gauge and potential fields) is acknowledged. ARK expresses his gratitude to H. J. KORSCH, M. FLEISCHHAUER, and F. GRUSDT for useful discussions and D. N. MAKSIMOV for helpful remarks.
Аннотация:
We consider the dynamics of a charged particle in a finite along the x-direction square lattice in the presence of a normal to the lattice plane magnetic field and an in-plane electric field aligned with the y-axis. For a vanishing magnetic field this dynamics would be common Bloch oscillations where the particle oscillates in the y-direction with an amplitude inverse proportional to the electric field. We show that a non-zero magnetic field crucially modifies this dynamics. Namely, the new Bloch oscillations consist of time intervals where the particle moves with constant velocity in the x-direction intermitted by intervals where it is accelerated or decelerated along the lattice edges. The analysis is done in terms of the Landau-Stark states which are eigenstates of a quantum particle in a two-dimensional lattice subject to (real or synthetic) electric and magnetic fields. Copyright (C) EPLA, 2014
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16.
Вид документа
: Статья из журнала
Шифр издания
:
Автор(ы)
: Maksimov D. N., Kolovsky A. R.
Заглавие
: Escape dynamics of a Bose-Hubbard dimer out of a trap
Коллективы
: Russian Academy of Sciences [29]
Место публикации
: Phys. Rev. A: American Physical Society, 2014. - Vol. 89, Is. 6. - Ст.063612. - ISSN 1050-2947,
DOI
10.1103/PhysRevA.89.063612. - ISSN 1094-1622
Примечания
: Cited References: 53. - 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.
Предметные рубрики:
ULTRACOLD GASES
OPTICAL LATTICE
QUANTUM
DECAY
Аннотация:
We consider a potential scattering of a Bose-Hubbard dimer in a one-dimensional optical lattice. A numerical approach based on an effective non-Hermitian Hamiltonian has been developed for solving the scattering problem. It allows us to compute the tunneling and dissociation probabilities for an arbitrary shape of the potential barrier and an arbitrary kinetic energy of the dimer. The developed approach has been used to address the problem of two-particle decay out of a trap. In particular, it is shown that the presence of dissociation channels significantly decreases the nonescape probability due to single-particle escape to those channels.
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17.
Вид документа
: Статья из журнала
Шифр издания
:
Автор(ы)
: Maksimov D. N., Bulgakov E. N., Kolovsky A. R.
Заглавие
: Wannier-Stark states in double-periodic lattices. II. Two-dimensional lattices
Коллективы
: Russian Foundation for Basic Research [15-02-00463]
Место публикации
: Phys. Rev. A: American Physical Society, 2015. - Vol. 91, Is. 5. - Ст.053632. - ISSN 1050,
DOI
10.1103/PhysRevA.91.053632. - ISSN 10941622(eISSN)
Примечания
: Cited References:22. - The authors acknowledge financial support from Russian Foundation for Basic Research through the Project No. 15-02-00463, Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice.
Предметные рубрики:
BLOCH OSCILLATIONS
PARTICLE
LADDERS
Аннотация:
We analyze the Wannier-Stark spectrum of a quantum particle in tilted two-dimensional lattices with the Bloch spectrum consisting of two subbands, which could be either separated by a finite gap or connected by the Dirac points. For rational orientations of the static field given by an arbitrary superposition of the translation vectors, the spectrum is a ladder of energy bands. We obtain asymptotic expressions for the energy bands in the limit of large and weak static fields and study them numerically for intermediate field strength. We show that the structure of energy bands determines the rate of spreading of localized wave packets, which is the quantity measured in laboratory experiments. It is shown that wave-packet dispersion becomes a fractal function of the field orientation in the long-time regime of ballistic spreading.
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18.
Вид документа
: Статья из журнала
Шифр издания
:
Автор(ы)
: Maksimov D. N., Bulgakov E. N., Kolovsky A. R.
Заглавие
: Wannier-Stark states in double-periodic lattices. I. One-dimensional lattices
Коллективы
: Russian Foundation for Basic Research [15-02-00463]
Место публикации
: Phys. Rev. A: American Physical Society, 2015. - Vol. 91, Is. 5. - Ст.053631. - ISSN 1050,
DOI
10.1103/PhysRevA.91.053631. - ISSN 10941622(eISSN)
Примечания
: Cited References:24. - The authors acknowledge financial support from Russian Foundation for Basic Research through the Project No. 15-02-00463, Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice.
Предметные рубрики:
BLOCH-ZENER OSCILLATIONS
TIGHTLY BOUND ELECTRONS
BANDS
FIELD
Аннотация:
We analyze the Wannier-Stark spectrum of a quantum particle in generic one-dimensional double-periodic lattices. In the limit of a weak static field, the spectrum is shown to be a superposition of two Wannier-Stark ladders originating from two Bloch subbands. As the strength of the field is increased, the spectrum rearranges itself into a single Wannier-Stark ladder. We derive analytical expressions that describe the rearrangement employing the analogy between the Wannier-Stark problem and a driven two-level system in the strong-coupling regime.
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19.
Вид документа
: Статья из журнала
Шифр издания
:
Автор(ы)
: Kolovsky A. R.
Заглавие
: Quantum phase transitions in two-dimensional tilted optical lattices
Место публикации
: Phys Rev A: American Physical Society, 2016. - Vol. 93, Is. 3. - Ст.033626. - ISSN 10502947 (ISSN),
DOI
10.1103/PhysRevA.93.033626
Примечания
: Cited References: 19. - The author acknowledges fruitful discussions with M. Fleischhauer and F. Grusdt; the hospitality of the University of Kaiserslautern, where a part of this work was conducted; and financial support from Russian Foundation for Basic Research through Project No. 15-02-00463, Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice.
Предметные рубрики:
Atoms
Аннотация:
We discuss the quantum phase transition between the Mott-insulator state and the density-wave state of cold Bose atoms in a two-dimensional (2D) square lattice as the lattice is adiabatically tilted along one of its primary axes. It is shown that a small misalignment of the tilt drastically changes the result of the adiabatic passage and, instead of the density-wave state, one obtains a disordered state. An intrinsic relation of the problem to Bloch oscillations of hard-core bosons in a 2D lattice is illuminated. © 2016 American Physical Society.
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20.
Вид документа
: Статья из сборника (однотомник)
Шифр издания
:
Автор(ы)
: Kolovsky A. R.
Заглавие
: Wannier-Stark states and Bloch oscillations in non-trivial 2D lattices & Quantum phase transition from the Mott-insulator state of cold atoms to the density-wave state in tilted 2D optical lattices
Коллективы
: "Физика ультрахолодных атомов", Всероссийская конференция, "Physics of ultra-cold atoms", Conference, Институт автоматики и электрометрии Сибирского отделения РАН, Институт лазерной физики Сибирского отделения РАН, Институт физики полупроводников им. А.В. Ржанова Сибирского отделения РАН, Новосибирский государственный университет
Разночтения заглавия
:: Quantum phase transitions in tilted optical lattices
Место публикации
: Программа Всероссийской конференции "Физика ультрахолодных атомов". - Новосибирск, 2015
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