Non-equilibrium condensation process in a holographic superconductor

Keiju Murata, Shunichiro Kinoshita, Norihiro Tanahashi

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59 Citations (Scopus)

Abstract

We study the non-equilibrium condensation process in a holographic superconductor. When the temperature T is smaller than a critical temperature Tc, there are two black hole solutions, the Reissner-Nordström- AdS black hole and a black hole with a scalar hair. In the boundary theory, they can be regarded as the supercooled normal phase and the superconducting phase, respectively. We consider perturbations on supercooled Reissner-Nordström- AdS black holes and study their non-linear time evolution to know about physical phenomena associated with rapidly-cooled superconductors. We find that, for T < Tc, the initial perturbations grow exponentially and, eventually, spacetimes approach the hairy black holes. We also clarify how the relaxation process from a far-fromequilibrium state proceeds in the boundary theory by observing the time dependence of the superconducting order parameter. Finally, we study the time evolution of event and apparent horizons and discuss their correspondence with the entropy of the boundary theory. Our result gives a first step toward the holographic understanding of the non-equilibrium process in superconductors.

Original languageEnglish
Article number50
JournalJournal of High Energy Physics
Volume2010
Issue number7
DOIs
Publication statusPublished - 2010 Jan 1

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Keywords

  • AdS-CFT correspondence
  • Black holes
  • Classical theories of gravity
  • Gauge-gravity correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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