Self-trapping of Bose-Einstein condensates in optical lattices

Abstract

The self-trapping phenomenon of Bose-Einstein condensates (BECs) in optical lattices is studied extensively by numerically solving the Gross-Pitaevskii equation. Our numerical results not only reproduce the phenomenon that was observed in a recent experiment [Anker {\it et al.}, Phys. Rev. Lett. {\bf 94} (2005)020403], but also find that the self-trapping breaks down at long evolution times, that is, the self-trapping in optical lattices is only temporary. The analysis of our numerical results shows that the self-trapping in optical lattices is related to the self-trapping of BECs in a double-well potential. A possible mechanism of the formation of steep edges in the wave packet evolution is explored in terms of the dynamics of relative phases between neighboring wells.

arXiv comment8 pages, 15 figures

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• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
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• Asymmetric Landau-Zener tunneling in a periodic potential
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Cited by in corpus (21)

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• Multi-component gap solitons in spinor Bose-Einstein condensates
• Effect of Decoherence on the Dynamics of Bose-Einstein Condensates in a Double-well Potential
• Self-Trapping of Bose-Einstein Condensates in an Optical Lattice: the Effect of the System Dimension
• Macroscopic Superposition of Ultracold Atoms with Orbital Degrees of Freedom
• Adiabatic evolution under quantum control
• Self-trapping of a binary Bose-Einstein condensate induced by interspecies interaction
• Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
• Dynamics in multiple-well Bose-Einstein condensates
• Self-trapping of Bose-Einstein condensates expanding into shallow optical lattices
• Blocked populations in ring-shaped optical lattices
• Dispersion engineering in spin-orbit coupled spinor $F=1$ condensates driven by negative masses
• Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Cyclotron dynamics of a Bose-Einstein condensate in a quadruple-well potential with synthetic gauge fields
• Cyclotron dynamics of interacting bosons in artificial magnetic fields
• Measurement of phase fluctuations of Bose-Einstein condensates in an optical lattice
• Expansion of strongly interacting dipolar bosons in 1D optical lattices
• Dynamical quantum phase transition of a two-component Bose-Einstein condensate in an optical lattice
• Wavepacket spreading dynamics under a non-instantaneous nonlinearity: Self-trapping, defocusing and focusing