Adiabaticity in Nonlinear Quantum Dynamics: Bose-Einstein Condensate in a Temporally-Varying Box

Details Adiabaticity in Nonlinear Quantum Dynamics: Bose-Einstein Condensate in a Temporally-Varying Box Adiabaticity in Nonlinear Quantum Dynamics: Bose-Einstein Condensate in a Temporally-Varying Box

2001-08-07

arxiv.org/abs/cond-mat/0108114v1

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 5 figures

Scientific paper

A simple model of an atomic Bose-Einstein condensate in a box whose size varies with time is studied to determine the nature of adiabaticity in the nonlinear dynamics obtained within the Gross-Pitaevskii equation (the nonlinear Schr\"{o}dinger equation). Analytical and numerical methods are used to determine the nature of adiabaticity in this nonlinear quantum system. Criteria for validity of an adiabatic approximation are formulated.

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