Holographic entanglement of purification for thermofield double states and thermal quench

Holographic entanglement of purification for thermofield double states and thermal quench
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热场双态和热淬灭净化的全息纠缠

DOI:
10.1007/jhep01(2019)114
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发表时间:
2018-09
影响因子:
5.4
通讯作者:
Wen-Ming Li
Wen-Ming Li
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Run-Qiu Yang;Cheng-Yong Zhang;Wen-Ming Li

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研究了Schwarzschild-AdS黑膜和Vaidya-AdS黑膜时空中两条不相交条带的全息净化纠缠(EoP)性质。对于在Schwarzschild-AdS时空同一边界上的两条给定条带,存在一个分离的上界,超过这个上界,无论条带有多宽,全息EoP都会消失。在两条条带分别位于时空边界的情况下,我们发现只有当条带足够宽时,全息EoP才存在。如果宽度是有限的,则EoP在有限的时间区域内可以是非零的。在热猝灭情况下,我们发现全息EoP的平衡时间只对条带宽度敏感,而全息互信息的平衡时间不仅对条带宽度敏感,而且对条带间距敏感。
We explore the properties of holographic entanglement of purification (EoP) for two disjoint strips in the Schwarzschild-AdS black brane and the Vaidya-AdS black brane spacetimes. For two given strips on the same boundary of Schwarzschild-AdS spacetime, there is an upper bound of the separation beyond which the holographic EoP will always vanish no matter how wide the strips are. In the case that two strips are in the two boundaries of the spacetime respectively, we find that the holographic EoP exists only when the strips are wide enough. If the width is finite, the EoP can be nonzero in a finite time region. For thermal quench case, we find that the equilibrium time of holographic EoP is only sensitive to the width of strips, while that of the holographic mutual information is sensitive not only to the width of strips but also to their separation.
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