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High Energy Physics - Theory

arXiv:1811.04081 (hep-th)
[Submitted on 9 Nov 2018 (v1), last revised 9 Jan 2019 (this version, v2)]

Title:Holographic Renyi Entropy at High Energy Density

Authors:Xi Dong
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Abstract:We show that Renyi entropies of subregions can be used to distinguish when the entire system is in a microcanonical ensemble from when it is in a canonical ensemble, at least in theories holographically dual to gravity. Simple expressions are provided for these Renyi entropies in a particular thermodynamic limit with high energy density and fixed fractional size of the subregion. Holographically, the Renyi entropies are determined by the areas of cosmic branes inserted into the bulk spacetime. They differ between a microcanonical and a canonical ensemble because the two ensembles provide different boundary conditions for the gravitational theory under which cosmic branes lead to different backreacted geometries. This is in contrast to the von Neumann entropy which is more coarse-grained and does not differentiate microcanonical ensembles from canonical ensembles.
Comments: 6 pages, 2 figures; v2: title slightly changed, new references and minor clarifications added, version to be published in PRL
Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); General Relativity and Quantum Cosmology (gr-qc); Quantum Physics (quant-ph)
Cite as: arXiv:1811.04081 [hep-th]
  (or arXiv:1811.04081v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1811.04081
Journal reference: Phys. Rev. Lett. 122, 041602 (2019)
Related DOI: https://doi.org/10.1103/PhysRevLett.122.041602

Submission history

From: Xi Dong [view email]
[v1] Fri, 9 Nov 2018 19:00:00 UTC (728 KB)
[v2] Wed, 9 Jan 2019 05:02:58 UTC (730 KB)
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