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arXiv · 2004.00867

Generalized entanglement temperature and entanglement Smarr relation

Ashis Saha·Sunandan Gangopadhyay·Jyoti Prasad Saha
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Abstract

We observe that in presence of excitation, a thermodynamic Smarr like relation corresponding to a generalized entanglement temperature ($T_g$) can be holographically obtained for the entanglement entropy of a subsystem. Such a relation emerges naturally by demanding that the generalized entanglement temperature produces the exact Hawking temperature as the leading term in the IR limit ($l\rightarrow \infty$). Remarkably, this relation has the same form as the Smarr relation in black hole thermodynamics. We demonstrate this for three spacetime geometries, namely, a background with a nonconformal factor, a hyperscaling violating geometry background, and a charged black hole background which corresponds to a field theory with a finite chemical potential.

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Ashis Saha, Sunandan Gangopadhyay, Jyoti Prasad Saha. 2020-04-02. Generalized entanglement temperature and entanglement Smarr relation. https://doi.org/10.1103/physrevd.102.086010

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