Nonlinear evolution dynamics of holographic superconductor model with scalar self-interaction

Ran Li; Tieguang Zi; Hongbao Zhang

doi:10.1103/PhysRevD.97.086001

← Back to search

Nonlinear evolution dynamics of holographic superconductor model with scalar self-interaction

Ran Li, Tieguang Zi, Hongbao Zhang

DOI 10.1103/PhysRevD.97.086001 · Physical Review D

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

We investigate the holographic superconductor model that is described by the Einstein-Maxwell theory with the self-interaction term λ|Ψ|4 of complex scalar field in asymptotic anti–de Sitter (AdS) spacetime. Below critical temperature Tc, the planar Reissner-Nordström-AdS black hole is unstable due to the near-horizon scalar condensation instability. We study the full nonlinear development of this instability by numerically solving the gravitational dynamics in the asymptotic AdS spacetime, and observe a dynamical process from the perturbed Reissner-Nordström-AdS black hole to a hairy black hole when the initial black hole temperature T<Tc. At early times, small scalar perturbation grows as expected from linearized quasinormal modes analysis. By the gauge/gravity duality, this dynamical process is then holographically dual to the dynamical superconducting phase transition process in the boundary theory. Furthermore, we also study the effect of the scalar self-interaction on time evolution of superconducting condensate operator, event and apparent horizon areas of the final hairy black hole.