Collapse and revival in holographic quenches

  • Emilia da Silva
  • Esperanza Lopez
  • Javier Mas
  • Alexandre Serantes
Open Access
Regular Article - Theoretical Physics

Abstract

We study holographic models related to global quantum quenches in finite size systems. The holographic set up describes naturally a CFT, which we consider on a circle and a sphere. The enhanced symmetry of the conformal group on the circle motivates us to compare the evolution in both cases. Depending on the initial conditions, the dual geometry exhibits oscillations that we holographically interpret as revivals of the initial field theory state. On the sphere, this only happens when the energy density created by the quench is small compared to the system size. However on the circle considerably larger energy densities are compatible with revivals. Two different timescales emerge in this latter case. A collapse time, when the system appears to have dephased, and the revival time, when after rephasing the initial state is partially recovered. The ratio of these two times depends upon the initial conditions in a similar way to what is observed in some experimental setups exhibiting collapse and revivals.

Keywords

Gauge-gravity correspondence 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) 2015

Authors and Affiliations

  • Emilia da Silva
    • 1
  • Esperanza Lopez
    • 1
  • Javier Mas
    • 2
  • Alexandre Serantes
    • 2
  1. 1.Instituto de Física Teórica IFT UAM/CSICUniversidad Autónoma de MadridCantoblancoSpain
  2. 2.Departamento de Fısica de PartículasUniversidade de Santiago de Compostela, and Instituto Galego de Fısica de Altas Enerxías IGFAESantiago de CompostelaSpain

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