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Entanglement thermodynamics

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Abstract

We study entanglement entropy for an excited state by making use of the proposed holographic description of the entanglement entropy. For a sufficiently small entangling region and with reasonable identifications we find an equation between entanglement entropy and energy which is reminiscent of the first law of thermodynamics. We then suggest four statements which might be thought of as four laws of entanglement thermodynamics.

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Authors and Affiliations

  1. School of physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box, 19395-5531, Tehran, Iran

    Mohsen Alishahiha

  2. School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

    Davood Allahbakhshi & Ali Naseh

Authors
  1. Mohsen Alishahiha
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  2. Davood Allahbakhshi
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  3. Ali Naseh
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Corresponding author

Correspondence to Davood Allahbakhshi.

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ArXiv ePrint: 1305.2728

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Alishahiha, M., Allahbakhshi, D. & Naseh, A. Entanglement thermodynamics. J. High Energ. Phys. 2013, 102 (2013). https://doi.org/10.1007/JHEP08(2013)102

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  • DOI: https://doi.org/10.1007/JHEP08(2013)102

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