Time Evolution of Entanglement Entropy in Quenched Holographic Superconductors

Abstract

We investigate the dynamical evolution of entanglement entropy in a holographic superconductor model by quenching the source term of the dual charged scalar operator. By access to the full background geometry, the holographic entanglement entropy is calculated for a strip geometry at the AdS boundary. It is found that the entanglement entropy exhibits a robust non-monotonic behaviour in time, independent of the strength of Gaussian quench and the size of the strip: it first displays a small dip, then grows linearly, and finally saturates. In particular, the linear growth velocity of the entanglement entropy has an upper bound for strip with large width; The equilibrium value of the non-local probe at late time shows a power law scaling behaviour with respect to the quench strength; Moreover, the entanglement entropy can uncover the dynamical transition at certain critical quench strength which happens to coincide with the one obtained form the dynamical evolution of scalar order parameter.

19 pages; 7 figures; compatible with JHEP version

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Cited by in corpus (6)

• Introduction to Holographic Superconductor Models
• Thermalization after holographic bilocal quench
• Nonlinear Conductivity of a Holographic Superconductor Under Constant Electric Field
• Entanglement Entropy of Annulus in Holographic Thermalization
• Holographic phase transition probed by non-local observables
• Effect of massive potentials on the holographic thermalization