Non-equilibrium condensation process in a holographic superconductor

Shunichiro Kinoshita, Keiju Murata, Norihiro Tanahashi

Research output: Contribution to conferencePaper

Abstract

We study the non-equilibrium condensation process in the 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-from-equilibrium 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
Pages217-222
Number of pages6
Publication statusPublished - Dec 1 2010
Externally publishedYes
Event20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan
Duration: Sep 21 2010Sep 25 2010

Other

Other20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
CountryJapan
CityKyoto
Period9/21/109/25/10

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Kinoshita, S., Murata, K., & Tanahashi, N. (2010). Non-equilibrium condensation process in a holographic superconductor. 217-222. Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan.