Analysis of dynamical tunnelling experiments with a Bose-Einstein condensate

Details Analysis of dynamical tunnelling experiments with a Bose-Einstein condensate Analysis of dynamical tunnelling experiments with a Bose-Einstein condensate

2004-04-30

arxiv.org/abs/nlin/0404060v1

Physical Review A 70 (2004) 013408

Nonlinear Sciences

Chaotic Dynamics

accepted for publication in Physical Review A

Scientific paper

10.1103/PhysRevA.70.013408

Dynamical tunnelling is a quantum phenomenon where a classically forbidden process occurs, that is prohibited not by energy but by another constant of motion. The phenomenon of dynamical tunnelling has been recently observed in a sodium Bose-Einstein condensate. We present a detailed analysis of these experiments using numerical solutions of the three dimensional Gross-Pitaevskii equation and the corresponding Floquet theory. We explore the parameter dependency of the tunnelling oscillations and we move the quantum system towards the classical limit in the experimentally accessible regime.

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