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arXiv · 1412.5500

Time Evolution of Entanglement Entropy in Quenched Holographic Superconductors

Xiaojian Bai·Bum-Hoon Lee·Li Li·Jia-Rui Sun·Hai-Qing Zhang
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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.

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Xiaojian Bai, Bum-Hoon Lee, Li Li, Jia-Rui Sun, Hai-Qing Zhang. 2015-04-16. Time Evolution of Entanglement Entropy in Quenched Holographic Superconductors. https://doi.org/10.1007/jhep04(2015)066

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