Time-dependent self-trapping of Bose-Einstein Condensates in a double-well potential
arXiv:1009.3666 · doi:10.1103/PhysRevA.82.062105
Abstract
Based on the mean-field approximation and the phase space analysis, we discuss the dynamics of Bose-Einstein condensates in a double-well potential. By applying a periodic modulation to the coupling between the condensates, we find the condensates can be trapped in the time-dependent eigenstates of the effective Hamiltonian, we refer to this effect as time-dependent self-trapping of BECs. A comparison of this self-trapping with the adiabatic evolution is made, finding that the adiabatic evolution beyond the traditional(linear) adiabatic condition can be achieved in BECs by manipulating the nonlinearity and the ratio of the level bias to the coupling constant. The fixed points for the system are calculated and discussed.
6 pages, 6 figures
References in corpus (25)
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Squeezing and entanglement in a Bose-Einstein condensate
- Theory of nonlinear Landau-Zener tunneling
- Observations of density fluctuations in an elongated Bose gas: ideal gas and quasi-condensate regimes
- Adiabatic Theory of Nonlinear Evolution of Quantum States
- Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
- Many-Body Coherent Destruction of Tunneling
- Optimal quantum control of Bose Einstein condensates in magnetic microtraps
- Three level atom optics via the tunneling interaction
- Periodic Modulation Effect on Self-Trapping of Two weakly coupled Bose-Einstein Condensates
- Symmetry Breaking in Symmetric and Asymmetric Double-Well Potentials
- Condensate splitting in an asymmetric double well for atom chip based sensors
- Non-adiabacity and large flucutations in a many particle Landau Zener problem
- Matterwave Transport Without Transit
- Distillation of Bose-Einstein condensates in a double-well potential
- Landau-Zener Tunnelling in a Nonlinear Three-level System
- Rosen-Zener Transition in a Nonlinear Two-Level System
- Two-mode Bose-Einstein condensate in a high-frequency driving field that directly couples the two modes
- STIRAP transport of Bose-Einstein condensate in triple-well trap
- Adiabatic Splitting, Transport, and Self-Trapping of a Bose-Einstein Condensate in a Double-Well Potential
- Controlling the Population Imbalance of a Bose-Einstein Condensate by a Symmetry-Breaking Driving Field
- Universality in nonadiabatic behaviour of classical actions in nonlinear models with separatrix crossings
- Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
- Rosen-Zener interferometry with Ultracold Atoms
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- Self trapping of a dipolar Bose-Einstein condensate in a double well
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- Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
- Blocked populations in ring-shaped optical lattices
- Discrete time-crystalline order in Bose-Hubbard model with dissipation
- Localization and self-trapping in driven-dissipative polariton condensates
- Josephson-type oscillations in spin-orbit coupled Bose-Einstein condensates with nonlinear optical lattices
- Dynamics of mode entanglement induced by particle-tunneling in the extended Bose-Hubbard dimer model