Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0509322 · Laser Physics

Dipole and Bloch oscillations of cold atoms in a parabolic lattice

A. V. Ponomarev, Andrey R. Kolovsky

Published Feb 1, 2006• 18 citations
arXivHTMLPDF

Abstract

The paper studies the dynamics of a Bose-Einstein condensate loaded in a 1D parabolic optical lattice and excited by a sudden shifting of the lattice center. Depending on the initial shift, this dynamics is either the dipole or Bloch oscillations of the atoms. The effects of the dephasing and atom-atom interactions on the above atomic oscillations are discussed.

DOI
10.1134/s1054660x06020289

Related papers

Dynamical instability, Chaos, and Bloch oscillations of Bose-Einstein condensates in tilted optical lattices

Andrey R. Kolovsky

We study the Bloch dynamics of a Bose-Einstein condensate of cold atoms by using the formalism of the discrete nonlinear Schroedinger equation. Depending on the static force magnitudes the system is shown to exhibit two qualitatively different regimes of Bloch oscillations - exponential decay for the static force magnitude less than some critical value (defined by the condensate density) and quasiperiodic oscillations in the opposite case. The relation of these regimes to the onset of chaos in the system is discussed.

arXiv:cond-mat/0412195•Dec 8, 2004•0 citations

Dynamics of Bloch Matter Waves and Its Breakdown : a Bose-Einstein Condensate in a Moving 1D Optical Lattice

C. Fort, Francesco S. Cataliotto, Jacopo Catani +6 more

We present the results of experimental work on the dynamics of a Bose-Einstein condensate (BEC) loaded in a 1D moving optical lattice. The system is studied both in the regime of low atomic density (expanding BEC) and high atomic density (trapped BEC). In the low-density regime, the stable dynamics of the system is well-described in terms of Bloch waves. In the presence of nonlinearities, as in a high-density sample, the Bloch waves are not stable solutions of the Gross-Pitaevskii equation (GPE) and dynamical instability takes place.

Computer Modeling in Engineering & Sciences•Jan 1, 2005•0 citations

Bloch Oscillations of Two-Component Bose–Einstein Condensates in Optical Lattices

Huai-Qiang Gu, Wang Zhi-cheng, Kang Jin +1 more

We study the Bloch oscillations of two-component Bose–Einstein condensates trapped in spin-dependent optical lattices. The influence of the intercomponent atom interaction on the system is discussed in detail. Accelerated breakdown of the Bloch oscillations and revival phenomena are found respectively for the repulsive and attractive case. For both the cases, the system will finally be set in a quantum self-trapping state due to dynamical instability.

Chinese Physics Letters•Feb 1, 2006•2 citations

Bloch oscillations of Bose-Einstein condensates: Quantum counterpart of dynamical instability

Andrey R. Kolovsky, Hans Jürgen Korsch, Eva-Maria Graefe

We study the Bloch dynamics of a quasi-one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type. The corresponding mean-field system described by a discrete nonlinear Schr\"odinger equation can exhibit dynamical (or modulation) instability due to chaotic dynamics and equipartition over the quasimomentum modes. It is shown that these phenomena are related to Bogoliubov's depletion of the Bose-Einstein condensate and a decoherence of the condensate in the many-particle description. Three types of dynamics are distinguished: (i) decaying oscillations in the region of dynamical instability and (ii) persisting Bloch oscillations or (iii) periodic decay and revivals in the region of stability.

arXiv:0901.4719•Physical Review A•Aug 24, 2009•57 citations

Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices

O. Morsch, Jörg Helge Müller, Matteo Cristiani +2 more

We have loaded Bose-Einstein condensates into one-dimensional, off-resonant optical lattices and accelerated them by chirping the frequency difference between the two lattice beams. For small values of the lattice well depth, Bloch oscillations were observed. Reducing the potential depth further, Landau-Zener tunneling out of the lowest lattice band, leading to a breakdown of the oscillations, was also studied and used as a probe for the effective potential resulting from mean-field interactions as predicted by Choi and Niu [Phys. Rev. Lett. 82, 2022 (1999)]. The effective potential was measured for various condensate densities and trap geometries, yielding good qualitative agreement with theoretical calculations.

arXiv:cond-mat/0108457•Physical Review Letters•Sep 13, 2001•548 citations

Microscopic and mean-field dynamics of cold atoms in optical lattices

Andrey R. Kolovsky, Joachim Brand, A. Ponomarev +1 more

The Bloch dynamics of degenerate cold atoms in optical lattices is a paradigmatic problem of quantum transport theory, arid under virtually perfect experimental control. If a Bose-Einstein condensate (BEC) is loaded into truly 1D lattices, and for sufficiently small filling factors, the problem can be treated within the Bose-Hubbard model. The nonlinearity can stabilise the BEC against dispersion whilst moving across the lattice, giving rise to soliton-like solutions

Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)•Jan 25, 2006•0 citations
The paper studies the dynamics of a Bose-Einstein condensate loaded in a 1D parabolic optical lattice and excited by a sudden shifting of the lattice center. Depending on the initial shift, this dynamics is either the dipole or Bloch oscillations of the atoms. The effects of the dephasing and atom-atom interactions on the above atomic oscillations are discussed.
We study the Bloch dynamics of a Bose-Einstein condensate of cold atoms by using the formalism of the discrete nonlinear Schroedinger equation. Depending on the static force magnitudes the system is shown to exhibit two qualitatively different regimes of Bloch oscillations - exponential decay for the static force magnitude less than some critical value (defined by the condensate density) and quasiperiodic oscillations in the opposite case. The relation of these regimes to the onset of chaos in the system is discussed.
We present the results of experimental work on the dynamics of a Bose-Einstein condensate (BEC) loaded in a 1D moving optical lattice. The system is studied both in the regime of low atomic density (expanding BEC) and high atomic density (trapped BEC). In the low-density regime, the stable dynamics of the system is well-described in terms of Bloch waves. In the presence of nonlinearities, as in a high-density sample, the Bloch waves are not stable solutions of the Gross-Pitaevskii equation (GPE) and dynamical instability takes place.
We study the Bloch dynamics of a quasi-one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type. The corresponding mean-field system described by a discrete nonlinear Schr\"odinger equation can exhibit dynamical (or modulation) instability due to chaotic dynamics and equipartition over the quasimomentum modes. It is shown that these phenomena are related to Bogoliubov's depletion of the Bose-Einstein condensate and a decoherence of the condensate in the many-particle description. Three types of dynamics are distinguished: (i) decaying oscillations in the region of dynamical instability and (ii) persisting Bloch oscillations or (iii) periodic decay and revivals in the region of stability.
We have loaded Bose-Einstein condensates into one-dimensional, off-resonant optical lattices and accelerated them by chirping the frequency difference between the two lattice beams. For small values of the lattice well depth, Bloch oscillations were observed. Reducing the potential depth further, Landau-Zener tunneling out of the lowest lattice band, leading to a breakdown of the oscillations, was also studied and used as a probe for the effective potential resulting from mean-field interactions as predicted by Choi and Niu [Phys. Rev. Lett. 82, 2022 (1999)]. The effective potential was measured for various condensate densities and trap geometries, yielding good qualitative agreement with theoretical calculations.