Driven holographic CFTs

Rangamani, Mukund; Rozali, Moshe; Wong, Anson

Abstract

We study the dynamical evolution of strongly coupled field theories, initially in thermal equilibrium, under the influence of an external driving force. We model the field theory holographically using classical gravitational dynamics in an asymptotically AdS spacetime. The system is driven by a source for a (composite) scalar operator. We focus on a scenario where the external source is periodic in time and chart out the response of several observables. We find an interesting phase structure in the response as a function of the amplitude of the source and driving frequency. Specifically the system transitions from a dissipation dominated phase, via a dynamical crossover to a highly resonant amplification phase. The diagnostics of these phases include the response of the operator in question, entropy production, energy fluctuations, and the temporal change of entanglement entropy for small subsystems. We comment on evidence for a potential phase transition in the energy fluctuations of the system.

Citation

Rangamani, M., Rozali, M., & Wong, A. (2015). Driven holographic CFTs. Journal of High Energy Physics, 2015(4), https://doi.org/10.1007/jhep04%282015%29093

• Journal Article Type: Article
• Acceptance Date: Mar 17, 2015
• Publication Date: Apr 20, 2015
• Deposit Date: Apr 6, 2015
• Publicly Available Date: Apr 15, 2015
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2015
• Issue: 4
• DOI: https://doi.org/10.1007/jhep04%282015%29093
• Keywords: Black Holes in String Theory, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT), Quantum Dissipative Systems.
• Public URL: https://durham-repository.worktribe.com/output/1443469
• Related Public URLs: http://arxiv.org/abs/1502.05726