论文标题

在非平衡稳态下的纠缠负态

Entanglement negativity in a nonequilibrium steady state

论文作者

Eisler, Viktor

论文摘要

我们研究了自由屈服链的非平衡稳态状态下的纠缠特性,该特性在连接了在不同温度下制备的两个半链后出现。两个相邻间隔之间的纠缠负态和rényi互信息在系统大小上对数刻度对数,我们通过分析来计算作为浴室温度的函数。特别是,我们表明,带有索引$α= 1/2 $的负性和rényi互信息由不同的预成绩描述,因此这两个数量提供了有关状态的不相等信息。此外,我们表明,时间演化期间负态的对数增长也受稳态的预制剂的控制。

We study entanglement properties in a nonequilibrium steady state of a free-fermion chain, that emerges after connecting two half-chains prepared at different temperatures. The entanglement negativity and the Rényi mutual information between two adjacent intervals scale logarithmically in the system size, with prefactors that we calculate analytically as a function of the bath temperatures. In particular, we show that the negativity and the Rényi mutual information with index $α=1/2$ are described by different prefactors, and thus the two quantities provide inequivalent information about the state. Furthermore, we show that the logarithmic growth of the negativity during time evolution is also governed by the steady-state prefactor.

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