论文标题

多体局部系统的纠缠动态与浴缸

Entanglement dynamics of a many-body localized system coupled to a bath

论文作者

Wybo, Elisabeth, Knap, Michael, Pollmann, Frank

论文摘要

封闭量子系统中强障碍和相互作用的组合可以导致多体定位(MBL)。但是,当系统耦合到热环境时,该量子相不稳定。我们研究了如何通过专注于其纠缠动态来弱耦合到达基化的马尔可夫环境的系统中如何破坏MBL。我们从数值上研究了第三rényi否定性$ r_3 $,这是一个基于否定性的最近提议的纠缠代理,该负率捕获了封闭案例中无限的对数增长,并且可以通过张量网络有效地计算出来。我们还表明,$ r_3 $的衰减遵循的指数定律与不平衡相似,但较小的伸展指数。

The combination of strong disorder and interactions in closed quantum systems can lead to many-body localization (MBL). However this quantum phase is not stable when the system is coupled to a thermal environment. We investigate how MBL is destroyed in systems that are weakly coupled to a dephasive Markovian environment by focusing on their entanglement dynamics. We numerically study the third Rényi negativity $R_3$, a recently proposed entanglement proxy based on the negativity that captures the unbounded logarithmic growth in the closed case and that can be computed efficiently with tensor networks. We also show that the decay of $R_3$ follows a stretched exponential law, similarly to the imbalance, with however a smaller stretching exponent.

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