Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP

Abstract

We investigate the dynamics of a Bose--Einstein condensate (BEC) in a triple-well trap in a three-level approximation. The inter-atomic interactions are taken into account in a mean-field approximation (Gross-Pitaevskii equation), leading to a nonlinear three-level model. New eigenstates emerge due to the nonlinearity, depending on the system parameters. Adiabaticity breaks down if such a nonlinear eigenstate disappears when the parameters are varied. The dynamical implications of this loss of adiabaticity are analyzed for two important special cases: A three level Landau-Zener model and the STIRAP scheme. We discuss the emergence of looped levels for an equal-slope Landau-Zener model. The Zener tunneling probability does not tend to zero in the adiabatic limit and shows pronounced oscillations as a function of the velocity of the parameter variation. Furthermore we generalize the STIRAP scheme for adiabatic coherent population transfer between atomic states to the nonlinear case. It is shown that STIRAP breaks down if the nonlinearity exceeds the detuning.

RevTex4, 7 pages, 11 figures, content extended and title/abstract changed

References in corpus (11)

• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Condensates beyond mean field theory: quantum backreaction as decoherence
• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
• Time-dependent tunneling of Bose-Einstein condensates
• Quantum effects on the dynamics of a two-mode atom-molecule Bose-Einstein condensate
• Three level atom optics via the tunneling interaction
• Classical chaos with Bose-Einstein condensates in tilted optical lattices
• States without linear counterpart in Bose-Einstein condensates
• Excitonic - vibronic coupled dimers: A dynamic approach

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