Reentrant phase transitions of quantum black holes

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Abstract
We show that backreaction of quantum fields on black hole geometries can trigger new thermal phase transitions. Specifically, we study the phase behavior of the three-dimensional quantum-corrected static Bañados-Teitelboim-Zanelli black hole, an exact solution to specific semiclassical gravitational equations due to quantum conformal matter, discovered through braneworld holography. Focusing on the canonical ensemble, for large backreaction, we find novel reentrant phase transitions as the temperature monotonically increases, namely, from thermal anti–de Sitter space to the black hole and back to thermal anti–de Sitter. The former phase transition is first-order, a quantum analog of the classical Hawking-Page phase transition, while the latter is zeroth order and has no classical counterpart. Published by the American Physical Society 2024
Funding Information
  • Agència de Gestió d’Ajuts Universitaris i de Recerca (2017-SGR 754)
  • Agencia Estatal de Investigación (2020-T1/TIC-20495, CEX2020-001007-S, PID2021-123017NB-I00)
  • Ministerio de Ciencia e Innovación
  • Instituto de Ciencias del Cosmos, Universitat de Barcelona
  • European Regional Development Fund
  • Science and Technology Facilities Council (ST/X000753/1)
  • Simons Foundation
  • Engineering and Physical Sciences Research Council
  • Statens Naturvidenskabelige Forskningsrad (P500PT-206877)

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