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.

8 pages, 15 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• 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
• Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
• Strongly inhibited transport of a 1D Bose gas in a lattice
• Asymmetric Landau-Zener tunneling in a periodic potential
• Periodic Modulation Effect on Self-Trapping of Two weakly coupled Bose-Einstein Condensates

Cited by in corpus (21)

• Negative mass hydrodynamics in a Spin-Orbit--Coupled Bose-Einstein Condensate
• Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
• 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