Holographic entanglement of purification for thermofield double states and thermal quench

Run-Qiu Yang (Quantum Universe Center, Korea Institute for Advanced Study, Seoul, 130-722, Korea) ; Cheng-Yong Zhang (Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433, China) ; Wen-Ming Li (Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, No.5 Yiheyuan Rd, Beijing, 100871, P.R. China)

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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      "surname": "Zhang", 
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      "title": "Holographic entanglement of purification for thermofield double states and thermal quench"
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      "value": "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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Published on:
14 January 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 1
Pages 1-22
DOI:
https://doi.org/10.1007/JHEP01(2019)114
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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