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

Preprint

21 November 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0111416

Abstract

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 Schrodinger 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.

Keywords

BOSE EINSTEIN CONDENSATE
EINSTEIN CONDENSATE
NONLINEAR QUANTUM
NUMERICAL METHODS
QUANTUM DYNAMICS
ADIABATICITY

All Related Versions

Version 1, 2001-11-21, ArXiv
Published version: Physical Review A, 65 (3), 033607.

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