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Holographic relaxation of finite size isolated quantum systems

  • Javier Abajo-Arrastia
  • Emilia da Silva
  • Esperanza Lopez
  • Javier MasEmail author
  • Alexandre Serantes
Open Access
Article

Abstract

We study holographically the out of equilibrium dynamics of a finite size closed quantum system in 2 + 1 dimensions, modelled by the collapse of a shell of a massless scalar field in AdS4. In global coordinates there exists a variety of evolutions towards final black hole formation which we relate with different patterns of relaxation in the dual field theory. For large scalar initial data rapid thermalization is achieved as a priori expected. Interesting phenomena appear for small enough amplitudes. Such shells do not generate a black hole by direct collapse, but quite generically, an apparent horizon emerges after enough bounces off the AdS boundary. We relate this bulk evolution with relaxation processes at strong coupling which delay in reaching an ergodic stage. Besides the dynamics of bulk fields, we monitor the entanglement entropy, finding that it oscillates quasi-periodically before final equilibration. The radial position of the travelling shell is brought in correspondence with the evolution of the pattern of entanglement in the dual field theory. We propose, thereafter, that the observed oscillations are the dual counterpart of the quantum revivals studied in the literature. The entanglement entropy is not only able to portrait the streaming of entangled excitations, but it is also a useful probe of interaction effects.

Keywords

Gauge-gravity correspondence Black Holes in String Theory Holography and condensed matter physics (AdS/CMT) 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Javier Abajo-Arrastia
    • 1
  • Emilia da Silva
    • 1
  • Esperanza Lopez
    • 1
  • Javier Mas
    • 2
    Email author
  • Alexandre Serantes
    • 2
  1. 1.Instituto de Física Teórica IFT UAM/CSIC, C-XVIUniversidad Autónoma de MadridMadridSpain
  2. 2.Departamento de Física de PartículasUniversidade de Santiago de Compostela, and Instituto Galego de Física de Altas Enerxías IGFAESantiago de CompostelaSpain

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