Eriko Kaminishi, Jun Sato, Tetsuo Deguchi
Recurrence time is successfully evaluated for some intially localized quantum states in the one-dimensional (1D) Bose gas with repulsive short range interactions. We suggest that the recurrence time is given typically by several minutes or seconds in experiments of cold atoms trapped in one dimension. It is much shorter than the estimated recurrence time of a generic quantum many-body system, which is usually as long as the age of the universe. We show numerically how the recurrence time depends on the interaction strength. In the free-bosonic and the free-fermionic regimes we evalute the recurrence time rigorously and show that it is proportional to the square of the number of particles. For instance, the result is exact in the impenetrable 1D Bose gas.
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http://arxiv.org/abs/1305.3412
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