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.
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Bai, X., Lee, BH., Li, L. et al. Time evolution of entanglement entropy in quenched holographic superconductors. J. High Energ. Phys. 2015, 66 (2015). https://doi.org/10.1007/JHEP04(2015)066
- AdS-CFT Correspondence
- Holography and condensed matter physics (AdS/CMT)
- Black Holes