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

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

2009-01-29

arxiv.org/abs/0901.4719v2

Phys. Rev. A80 (2009) 023617

Physics

Quantum Physics

12 pages, 14 figures

Scientific paper

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 show a dynamical (or modulation) instability due to chaotic dynamics and equipartition over the quasimomentum modes. It is shown, that these phenomena are related to a depletion of the Floquet-Bogoliubov states and a decoherence of the condensate in the many-particle description. Three different 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.

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