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arXiv 1706.04571cond-mat.quant-gas
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耦合单模玻色-爱因斯坦凝聚体中的纠缠和熵产生

Entanglement and entropy production in coupled single-mode Bose-Einstein condensates

Izabella Lovas, József Fortágh, Eugene Demler, Gergely Zaránd

备注：
11 pages, 8 figures (including appendix), accepted version, minor extension of discussion
发表信息：
Phys. Rev. A 96, 023615 (2017)
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摘要：

采用数值计算和解析近似相结合的方法，研究了$T=0$温度下双势阱中耦合单模玻色-爱因斯坦凝聚体的纠缠熵随时间的演化.我们发现，凝聚体的相干振荡的结果在短时间尺度上的线性熵产生的顶部熵振荡。由于失相，熵最终饱和到一个固定值，尽管缺乏平衡。我们发现，这个长时间的熵反映了系统的半经典动力学，揭示了自陷相变的凝聚体在大的相互作用强度的突然熵跳。我们比较了熵的定态极限与经典微正则系综的预测，发现尽管系统处于非平衡态，但令人惊讶的一致性。我们的预言在双势阱中的玻色-爱因斯坦凝聚体或具有态间耦合的两组分凝聚体上应该是实验可观察的。

英文摘要：

We investigate the time evolution of the entanglement entropy of coupled single-mode Bose-Einstein condensates in a double well potential at $T=0$ temperature, by combining numerical results with analytical approximations. We find that the coherent oscillations of the condensates result in entropy oscillations on the top of a linear entropy generation at short time scales. Due to dephasing, the entropy eventually saturates to a stationary value, in spite of the lack of equilibration. We show that this long time limit of the entropy reflects the semiclassical dynamics of the system, revealing the self-trapping phase transition of the condensates at large interaction strength by a sudden entropy jump. We compare the stationary limit of the entropy to the prediction of a classical microcanonical ensemble, and find surprisingly good agreement in spite of the non-equilibrium state of the system. Our predictions should be experimentally observable on a Bose-Einstein condensate in a double well potential or on a two-component condensate with inter-state coupling.

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