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Kolovsky, A. R.
Quantum particle in a parabolic lattice in the presence of a gauge field / A. R. Kolovsky, F. Grusdt, M. Fleischhauer // Phys. Rev. A. - 2014. - Vol. 89, Is. 3. - Ст. 33607, DOI 10.1103/PhysRevA.89.033607. - 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). . - ISSN 1050-2947. - ISSN 1094-1622

РУБ Optics + Physics, Atomic, Molecular & Chemical
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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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia
Univ Kaiserslautern, Dept Phys, D-67663 Kaiserslautern, Germany
Univ Kaiserslautern, Res Ctr OPTIMAS, D-67663 Kaiserslautern, Germany
Grad Sch Mat Sci Mainz, D-67663 Kaiserslautern, Germany

Доп.точки доступа:
Grusdt, F.; Fleischhauer, M.; Коловский, Андрей Радиевич; TU Kaiserslatern; [DFG/GSC 266]
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Arkhipkin, V. G.
Induction of the maximum Raman coherence in an extended medium through fractional adiabatic passage / V. G. Arkhipkin, I. V. Timofeev // Opt. Spectrosc. - 2006. - Vol. 100, Is. 3. - P. 433-436, DOI 10.1134/S0030400X06030210. - Cited References: 24 . - ISSN 0030-400X

РУБ Optics + Spectroscopy
Рубрики:
POPULATION TRANSFER
LASER-PULSES
ATOMS
Аннотация: The effect of fractional stimulated Raman adiabatic passage in an optically dense medium of three-level Lambda atoms is shown to result in the maximum coherence on the Raman transition on a length of the medium that considerably exceeds the length of linear resonant absorption. The general case of unequal oscillator strengths of the adjacent transitions is analyzed. The results are of interest for coherent anti-Stokes Raman spectroscopy with delayed pulses.

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Доп.точки доступа:
Timofeev, I. V.; Тимофеев, Иван Владимирович; Архипкин, Василий Григорьевич
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Kolovsky, A. R.
Quantum phase transitions in two-dimensional tilted optical lattices / A. R. Kolovsky // Phys Rev A. - 2016. - Vol. 93, Is. 3. - Ст. 033626, DOI 10.1103/PhysRevA.93.033626. - 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. . - ISSN 1050-2947

РУБ Optics + Physics, Atomic, Molecular & Chemical
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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Держатели документа:
Kirensky Institute of Physics, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Коловский, Андрей Радиевич
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    Kolovsky, A. R.
    Bose-Hubbard Hamiltonian: Quantum chaos approach / A. R. Kolovsky // Int. J. Mod. Phys. B. - 2016. - Vol. 30, Is. 10. - Ст. 1630009, DOI 10.1142/S0217979216300097. - Cited References:42 . - ISSN 0217-9792. - ISSN 1793-6578
   Перевод заглавия: Гамильтониан Бозе-Хаббарда: подход с точки зрения квантового хаоса

РУБ Physics, Applied + Physics, Condensed Matter + Physics, Mathematical
Рубрики:
Optical lattice
   Dynamics
   Atoms
   States
   Model
Кл.слова (ненормированные):
Cold atoms in optical lattices -- quantum transport -- nonlinear dynamics and chaos
Аннотация: We discuss applications of the theory of quantum chaos to one of the paradigm models of many-body quantum physics - the Bose-Hubbard (BH) model, which describes, in particular, interacting ultracold Bose atoms in an optical lattice. After preliminary, pure quantum analysis of the system we introduce the classical counterpart of the BH model and the governing semiclassical equations of motion. We analyze these equations for the problem of Bloch oscillations (BOs) of cold atoms where a number of experimental results are available. The paper is written for nonexperts and can be viewed as an introduction to the field.

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Доп.точки доступа:
Коловский, Андрей Радиевич
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Kolovsky, A. R.
Quantum chaos in the Bose-Hubbard model / A. R. Kolovsky, A. . Buchleitner // Europhys. Lett. - 2004. - Vol. 68, Is. 5. - P. 632-638, DOI 10.1209/epl/i2004-10265-7. - Cited References: 22 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
EINSTEIN CONDENSATE
   DOUBLE-WELL
   TRANSITION
   SUPERFLUID
   INSULATOR
   ATOMS
Аннотация: We present a numerical study of the spectral properties of the 1D Bose-Hubbard model. Unlike the 1D Hubbard model for fermions, this system is found to be non-integrable, and exhibits Wigner-Dyson spectral statistics under suitable conditions.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Max-Planck-Inst. F. Physik K., D-01187 Dresden, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Buchleitner, A.; Коловский, Андрей Радиевич
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Kolovsky, A. R.
Floquet-Bloch operator for the Bose-Hubbard model with static field / A. R. Kolovsky, A. . Buchleitner // Phys. Rev. E. - 2003. - Vol. 68, Is. 5. - Ст. 56213, DOI 10.1103/PhysRevE.68.056213. - Cited References: 23 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
QUANTUM CHAOS
CONDENSATE
ATOMS
Аннотация: This paper deals with the spectral properties of the one-dimensional Bose-Hubbard Hamiltonian amended by an external static field-a model for cold spinless atoms loaded in a quasi-one-dimensional optical lattice and subject to an additional static (for example, gravitational) force. The analysis is performed in terms of the Floquet-Bloch operator, defined as the evolution operator of the system over one Bloch period. Depending on the particular choice of parameters, the spectrum is found to be either regular or chaotic. Moreover, in the chaotic case, the matrix of the Floquet-Bloch operator is well characterized as a random matrix of the circular orthogonal ensemble.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Buchleitner, A.; Коловский, Андрей Радиевич
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Bulgakov, E. N.
Vortex phase diagram of F=1 spinor Bose-Einstein condensates / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. Lett. - 2003. - Vol. 90, Is. 20. - Ст. 200401, DOI 10.1103/PhysRevLett.90.200401. - Cited References: 15 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:
ATOMS
CREATION
GASES
Аннотация: We have calculated the F=1 ground state of a spinor Bose-Einstein condensate trapped harmonic potential with an applied Ioffe-Pitchard magnetic field. The vortex phase diagram is found in the plane spanned by perpendicular and longitudinal magnetic fields. The ferromagnetic condensate has two vortex phases which differ by winding number in the spinor components. The two vortices for the F-z=-1 antiferromagnetic condensate are separated in space. Moreover, we considered an average local spin \[(S) over right arrow]\ to testify to what extent it is parallel to magnetic field (the nonadiabatic effects). We have shown that the effects are important at vortex cores.

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Держатели документа:
Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Alekseev, K. N.
Quantum-classical correspondence and nonclassical state generation in dissipative quantum optical systems / K. N. Alekseev, N. V. Alekseeva, J. . Perina // J. Exp. Theor. Phys. - 2000. - Vol. 90, Is. 4. - P. 592-599, DOI 10.1134/1.559142. - Cited References: 32 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
2ND-HARMONIC GENERATION
   STATISTICAL PROPERTIES
   HARMONIC-GENERATION
   SQUEEZED STATES
   CHAOS
   LIGHT
   NONLINEARITIES
   INSTABILITIES
   DYNAMICS
   ATOMS
Аннотация: We develop a semiclassical method to determine the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N; it is based on the 1/N-expansion and the quantum-classical correspondence. The method is used to tackle two problems: the study of the dynamics of nonclassical state generation in higher order anharmonic dissipative oscillators and the establishment of the difference between the quantum and classical dynamics of the second-harmonic generation in a self-pulsing regime. In addressing the first problem, we obtain an explicit time dependence of the squeezing and the Fano factor for an arbitrary degree of anharmonism in the short-time approximation. For the second problem, we analytically find a characteristic time scale at which the quantum dynamics differs insignificantly from the classical one. (C) 2000 MAIK "Nauka/Interperiodica".

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Palacky Univ, Dept Opt, Olomouc 77207, Czech Republic
Palacky Univ, Joint Lab Opt, Olomouc 77207, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Alekseeva, N. V.; Perina, J.
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Gluck, M.
Lifetime statistics for a Bloch particle in ac and dc fields / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Rev. E. - 1999. - Vol. 60, Is. 1. - P. 247-258, DOI 10.1103/PhysRevE.60.247. - Cited References: 27 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
DYNAMIC LOCALIZATION
   QUANTUM
   TRANSITION
   SCATTERING
   MATRICES
   SYSTEMS
   LADDER
   STATES
   ATOMS
   LIGHT
Аннотация: We study the statistics of the Wigner delay time and resonance width for a Bloch particle in ac and de fields in the regime of quantum chaos. It is shown that after appropriate rescaling the distributions of these quantities have a universal character predicted by the random matrix theory of chaotic scattering. [s1063-651X(99)09907-9].

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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10.

Gluck, M.
Bloch particle in the presence of dc and ac fields / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Lett. A. - 1998. - Vol. 249, Is. 5-6. - P. 483-488, DOI 10.1016/S0375-9601(98)00763-4. - Cited References: 21 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
DYNAMIC LOCALIZATION
ELECTRONS
ATOMS
Кл.слова (ненормированные):
Wannier-Bloch states -- quantum chaos
Аннотация: In this Letter we study the metastable states of a Bloch particle in the presence of external ac and de fields. For the resonance condition between the period of the driving frequency and the Bloch period, the complex quasi-energies are numerically calculated for two qualitatively different regimes (quasi-regular and chaotic) of the system dynamics. For the chaotic regime an effect of quantum stabilization, which suppresses the classical decay mechanism, is found. This effect is demonstrated to be a kind of quantum phenomenon sensitive to the resonance condition. (C) 1998 Elsevier Science B.V.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich Physik, Universitat Kaiserslautern, D-67653 Kaiserslautern, Germany
L.V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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