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Bose-Einstein condensate of kicked rotators with time-dependent interaction

B. Mieck·R. Graham
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Abstract

A modification of the quantum kicked rotator is suggested with a time-dependent delta-kicked interaction parameter which can be realized by a pulsed turn-on of a Feshbach resonance. The mean kinetic energy increases exponentially with time in contrast to a merely diffusive or linear growth for the first few kicks for the quantum kicked rotator with a constant interaction parameter. A recursive relation is derived in a self-consistent random phase approximation which describes this superdiffusive growth of the kinetic energy and is compared with numerical simulations. Unlike in the case of the quantum rotator with constant interaction, a Lax pair is not found. In general the delta-kicked interaction is found to lead to strong chaotic behaviour.

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B. Mieck, R. Graham. 2004-11-25. Bose-Einstein condensate of kicked rotators with time-dependent interaction. https://doi.org/10.1088/0305-4470%2F38%2F7%2Fl05

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