Abstract
We study the long-time decay of quantum Loschmidt echo (LE) of a Bose-Einstein condensate (BEC) in a double-well potential. In the tunneling and self-trapping phases of the BEC, the LE has exponential and Gaussian decays, respectively, for relatively-long times. In the crossover region, the LE behaves differently from both the tunneling and the self-trapping phases. These results indicate that relatively-long time decay of the LE is suitable for characterizing the dynamical phase transition of the BEC.
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Zheng, Q., Wang, W., Zhang, X. et al. Relatively-long time decay of Loschmidt echo of a Bose-Einstein condensate in a double-well potential. Eur. Phys. J. D 58, 275–279 (2010). https://doi.org/10.1140/epjd/e2010-00090-y
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DOI: https://doi.org/10.1140/epjd/e2010-00090-y