Kicked Bose-Hubbard systems and kicked tops -- destruction and stimulation of tunneling
Abstract
In a two-mode approximation, Bose-Einstein condensates (BEC) in a double-well potential can be described by a many particle Hamiltonian of Bose-Hubbard type. We focus on such a BEC whose interatomic interaction strength is modulated periodically by -kicks which represents a realization of a kicked top. In the (classical) mean-field approximation it provides a rich mixed phase space dynamics with regular and chaotic regions. By increasing the kick-strength a bifurcation leads to the appearance of self-trapping states localized on regular islands. This self-trapping is also found for the many particle system, however in general suppressed by coherent many particle tunneling oscillations. The tunneling time can be calculated from the quasi-energy splitting of the corresponding Floquet states. By varying the kick-strength these quasi-energy levels undergo both avoided and even actual crossings. Therefore stimulation or complete destruction of tunneling can be observed for this many particle system.
Keywords
Cite
@article{arxiv.quant-ph/0703148,
title = {Kicked Bose-Hubbard systems and kicked tops -- destruction and stimulation of tunneling},
author = {M P Strzys and E M Graefe and H J Korsch},
journal= {arXiv preprint arXiv:quant-ph/0703148},
year = {2011}
}