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1.

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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2.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Arkhipkin V. G., Timofeev I. V.
Заглавие : Induction of the maximum Raman coherence in an extended medium through fractional adiabatic passage
Место публикации : Opt. Spectrosc.: Maik Nauka/Interperiodica/Springer, 2006. - Vol. 100, Is. 3. - P.433-436. - ISSN 0030-400X, DOI 10.1134/S0030400X06030210
Примечания : Cited References: 24
Предметные 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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3.

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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4.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bose-Hubbard Hamiltonian: Quantum chaos approach
Место публикации : Int. J. Mod. Phys. B: World Scientific Publishing, 2016. - Vol. 30, Is. 10. - Ст.1630009. - ISSN 0217-9792, DOI 10.1142/S0217979216300097. - ISSN 1793-6578(eISSN)
Примечания : Cited References:42
Предметные рубрики: Optical lattice
Dynamics
Atoms
States
Model
Ключевые слова (''Своб.индексиров.''): 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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5.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Buchleitner A.
Заглавие : Quantum chaos in the Bose-Hubbard model
Место публикации : Europhys. Lett. - 2004. - Vol. 68, Is. 5. - P.632-638. - ISSN 0295-5075, DOI 10.1209/epl/i2004-10265-7
Примечания : Cited References: 22
Предметные 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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6.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Buchleitner A.
Заглавие : Floquet-Bloch operator for the Bose-Hubbard model with static field
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2003. - Vol. 68, Is. 5. - Ст.56213. - ISSN 1539-3755, DOI 10.1103/PhysRevE.68.056213
Примечания : Cited References: 23
Предметные 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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7.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Vortex phase diagram of F=1 spinor Bose-Einstein condensates
Место публикации : Phys. Rev. Lett.: AMERICAN PHYSICAL SOC, 2003. - Vol. 90, Is. 20. - Ст.200401. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.90.200401
Примечания : Cited References: 15
Предметные 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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8.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Alekseeva N. V., Perina J.
Заглавие : Quantum-classical correspondence and nonclassical state generation in dissipative quantum optical systems
Место публикации : J. Exp. Theor. Phys.: AMER INST PHYSICS, 2000. - Vol. 90, Is. 4. - P592-599. - ISSN 1063-7761, DOI 10.1134/1.559142
Примечания : Cited References: 32
Предметные 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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9.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Lifetime statistics for a Bloch particle in ac and dc fields
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 1999. - Vol. 60, Is. 1. - P247-258. - ISSN 1063-651X, DOI 10.1103/PhysRevE.60.247
Примечания : Cited References: 27
Предметные 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Bloch particle in the presence of dc and ac fields
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 1998. - Vol. 249, Is. 5-6. - P483-488. - ISSN 0375-9601, DOI 10.1016/S0375-9601(98)00763-4
Примечания : Cited References: 21
Предметные рубрики: DYNAMIC LOCALIZATION
ELECTRONS
ATOMS
Ключевые слова (''Своб.индексиров.''): 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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