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.
| Original language | English |
|---|---|
| Article number | 66 |
| Number of pages | 19 |
| Journal | Journal of High Energy Physics |
| Volume | 2015 |
| Issue number | 4 |
| Early online date | 2015 |
| DOIs | |
| Publication status | Published - 14 Apr 2015 |
Funding
We would like to thank Rong-Gen Cai, Nava Gaddam, Hong Liu, Javier Martinez Magan, Keiju Murata, Julian Sonner, Phil Szepietowski and Toby Wiseman for helpful comments and discussions. We are also grateful to CERN for its hospitality and its partial support during the completion of this work. BHL was supported by the National Research Foundation of Korea (NRF) grant funded with grant number 2014R1A2A1A01002306; LL was supported in part by European Union's Seventh Framework Programme under grant agreements (FP7-REGPOT-2012-2013-1) no 316165, the EU-Greece program "Thales" MIS 375734 and was also co-financed by the European Union (European Social Fund, ESF) and Greek national funds through the Operational Program "Education and Lifelong Learning" of the National Strategic Reference Framework (NSRF) under "Funding of proposals that have received a positive evaluation in the 3rd and 4th Call of ERC Grant Schemes"; JRS was supported by the National Natural Science Foundation of China under Grant No. 11205058; HQZ was supported in part by the fund of Utrecht University budget associated to Gerard 't Hooft and the Young Scientists Fund of the National Natural Science Foundation of China (No.11205097).
Keywords
- AdS-CFT Correspondence
- Holography and condensed matter physics (AdS/CMT)
- Black Holes