Thursday, December 6, 2012

1212.1049 (Xin Gao et al.)

Integrability, localization and lack of thermalization in holographic
superconductivity
   [PDF]

Xin Gao, Antonio M. García-García, Hua Bi Zeng, Hai-Qing Zhang
It is expected that, after a quench, an interacting quantum system eventually reaches thermal equilibrium. Here we show that this is not always the case. We investigate the dynamics of the order parameter of a strongly coupled superconductor after a quench by holographic techniques. The gravity dual that we employ is the AdS Soliton background at zero temperature. Time evolution is first investigated by computing the quasi normal modes (QNM) associated to the superconducting order parameter. QNM's are purely real which suggests undamped time oscillations of the order parameter which prevents thermalization of the dual field theory. Results for the time evolution of the order parameter after an abrupt change of the chemical potential are consistent with this picture. Inspired by previous results in weakly coupled superconductors and Mott insulators we discuss localization and integrability as potential physical mechanism behind the observed lack of thermalization.
View original: http://arxiv.org/abs/1212.1049

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