Classical glasses, black holes, and strange quantum liquids

Davide Facoetti, Giulio Biroli, Jorge Kurchan, and David R. Reichman
Phys. Rev. B 100, 205108 – Published 7 November 2019

Abstract

From the dynamics of a broad class of classical mean-field glass models, one may obtain a quantum model with finite zero-temperature entropy, a quantum transition at zero temperature, and a time-reparametrization (quasi)invariance in the dynamical equations for correlations. The low-eigenvalue spectrum of the resulting quantum model is directly related to the structure and exploration of metastable states in the landscape of the original classical glass model. This mapping reveals deep connections between classical glasses and the properties of SYK-like models.

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  • Received 26 August 2019

DOI:https://doi.org/10.1103/PhysRevB.100.205108

©2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsGravitation, Cosmology & AstrophysicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Davide Facoetti1,2,3,*, Giulio Biroli1, Jorge Kurchan1, and David R. Reichman2

  • 1Laboratoire de Physique de l'Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université de Paris, F-75005 Paris, France
  • 2Department of Chemistry, Columbia University, New York, New York 10027, USA
  • 3Department of Mathematics, King's College London, Strand, London, WC2R 2LS, United Kingdom

  • *dfacoet@gmail.com

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Issue

Vol. 100, Iss. 20 — 15 November 2019

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