Towards a Landau-Zener formula for an interacting Bose-Einstein condensate

Abstract

We consider the Landau-Zener problem for a Bose-Einstein condensate in a linearly varying two-level system, for the full many-particle system as well and in the mean-field approximation. The many-particle problem can be solved approximately within an independent crossings approximation, which yields an explicit Landau-Zener formula.

RevTeX, 8 pages, 9 figures

References in corpus (3)

• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• 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

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• Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
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• Semiclassical approach to Bose-Einstein condensates in a triple well potential
• Semiclassical quantization of an N-particle Bose-Hubbard model
• Dissipation induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate
• Manipulation of matter waves using Bloch and Bloch-Zener oscillations
• Bose-Einstein condensates in accelerated double-periodic optical lattices: Coupling and Crossing of resonances
• Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
• Universality in nonadiabatic behaviour of classical actions in nonlinear models with separatrix crossings
• Nonlinear Landau-Zener Processes in a Periodic Driving Field
• Many-body Landau-Zener tunneling in the Bose-Hubbard model
• Nonlinearity-assisted quantum tunneling in a matter-wave interferometer
• Uniform semiclassical approximations of the nonlinear Schroedinger equation by a Painleve mapping