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Title: Probing black hole microstate evolution with networks and random walks

Abstract

We model black hole microstates and quantum tunneling transitions between them with networks and simulate their time evolution using well-established tools in network theory. In particular, we consider two models based on Bena-Warner three-charge multi-centered microstates and one model based on the D1-D5 system; we use network theory methods to determine how many centers (or D1-D5 string strands) we expect to see in a typical late-time state. We find three distinct possible phases in parameter space for the late-time behaviour of these networks, which we call ergodic, trapped, and amplified, depending on the relative importance and connectedness of microstates. We analyze in detail how these different phases of late-time behavior are related to the underlying physics of the black hole microstates. Our results indicate that the expected properties of microstates at late times cannot always be determined simply by entropic arguments; typicality is instead a highly non-trivial, emergent property of the full Hilbert space of microstates.

Authors:
 [1];  [2]
  1. KU Leuven, University of Michigan–Ann Arbor
  2. L'Institut de physique théorique, University of Michigan–Ann Arbor
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1618504
Grant/Contract Number:  
SC0007859
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 8 Journal Issue: 5; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Charles, Anthony, and Mayerson, Daniel. Probing black hole microstate evolution with networks and random walks. Netherlands: N. p., 2020. Web. doi:10.21468/SciPostPhys.8.5.077.
Charles, Anthony, & Mayerson, Daniel. Probing black hole microstate evolution with networks and random walks. Netherlands. doi:https://doi.org/10.21468/SciPostPhys.8.5.077
Charles, Anthony, and Mayerson, Daniel. Thu . "Probing black hole microstate evolution with networks and random walks". Netherlands. doi:https://doi.org/10.21468/SciPostPhys.8.5.077.
@article{osti_1618504,
title = {Probing black hole microstate evolution with networks and random walks},
author = {Charles, Anthony and Mayerson, Daniel},
abstractNote = {We model black hole microstates and quantum tunneling transitions between them with networks and simulate their time evolution using well-established tools in network theory. In particular, we consider two models based on Bena-Warner three-charge multi-centered microstates and one model based on the D1-D5 system; we use network theory methods to determine how many centers (or D1-D5 string strands) we expect to see in a typical late-time state. We find three distinct possible phases in parameter space for the late-time behaviour of these networks, which we call ergodic, trapped, and amplified, depending on the relative importance and connectedness of microstates. We analyze in detail how these different phases of late-time behavior are related to the underlying physics of the black hole microstates. Our results indicate that the expected properties of microstates at late times cannot always be determined simply by entropic arguments; typicality is instead a highly non-trivial, emergent property of the full Hilbert space of microstates.},
doi = {10.21468/SciPostPhys.8.5.077},
journal = {SciPost Physics Proceedings},
number = 5,
volume = 8,
place = {Netherlands},
year = {2020},
month = {5}
}

Journal Article:
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DOI: https://doi.org/10.21468/SciPostPhys.8.5.077

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