Nonlinear atom-optical delta-kicked harmonic oscillator using a Bose-Einstein condensate
G.J. Duffy, A.S. Mellish, K.J. Challis, A.C. Wilson

TL;DR
This paper experimentally studies a nonlinear atom-optical delta-kicked harmonic oscillator using a Bose-Einstein condensate, revealing how collisional interactions influence quantum dynamics and dephasing effects.
Contribution
It demonstrates the effects of nonlinear mean-field interactions on the quantum anti-resonance behavior in a Bose-Einstein condensate subjected to periodic kicks.
Findings
Dephasing of matter wave interference dominates after few kicks
Nonlinear interactions do not induce chaos in the system
Finite initial momentum width affects the dynamics
Abstract
We experimentally investigate the atom-optical delta-kicked harmonic oscillator for the case of nonlinearity due to collisional interactions present in a Bose-Einstein condensate. A Bose condensate of rubidium atoms tightly confined in a static harmonic magnetic trap is exposed to a one-dimensional optical standing-wave potential that is pulsed on periodically. We focus on the quantum anti-resonance case for which the classical periodic behavior is simple and well understood. We show that after a small number of kicks the dynamics is dominated by dephasing of matter wave interference due to the finite width of the condensate's initial momentum distribution. In addition, we demonstrate that the nonlinear mean-field interaction in a typical harmonically confined Bose condensate is not sufficient to give rise to chaotic behavior.
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