Entanglement tsunami: universal scaling in holographic thermalization.

@article{Liu2014EntanglementTU,
  title={Entanglement tsunami: universal scaling in holographic thermalization.},
  author={Hong Liu and S. Josephine Suh},
  journal={Physical review letters},
  year={2014},
  volume={112 1},
  pages={
          011601
        }
}
We consider the time evolution of entanglement entropy after a global quench in a strongly coupled holographic system, whose subsequent equilibration is described in the gravity dual by the gravitational collapse of a thin shell of matter resulting in a black hole. In the limit of large regions of entanglement, the evolution of entanglement entropy is controlled by the geometry around and inside the event horizon of the black hole, resulting in regimes of pre-local-equilibration quadratic… 

Figures from this paper

Time evolution of entanglement entropy in quenched holographic superconductors
A bstractWe 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
Spread of entanglement for small subsystems in holographic CFTs
We develop an analytic perturbative expansion to study the propagation of entanglement entropy for small subsystems after a global quench, in the context of the $\mathrm{AdS}/\mathrm{CFT}$
Holographic Non-equilibrium Heating.
We study the holographic entanglement entropy evolution after a global sharp quench of thermal state. After the quench, the system comes to equilibrium and the temperature increases from $T_i$ to
Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
A bstractWe study the holographic entanglement entropy in a homogeneous falling shell background, which is dual to the strongly coupled field theory following a global quench. For d=2 conformal field
Holographic non-equilibrium heating
A bstractWe study the holographic entanglement entropy evolution after a global sharp quench of thermal state. After the quench, the system comes to equilibrium and the temperature increases from Ti
Entanglement evolution in Lifshitz-type scalar theories
A bstractWe study propagation of entanglement after a mass quench in free scalar Lifshitz theories. We show that entanglement entropy goes across three distinct growth regimes before relaxing to a
Evolution of holographic entanglement entropy in an anisotropic system
A bstractWe determine holographically 2-point correlators of gauge invariant operators with large conformal weights and entanglement entropy of strips for a time-dependent anisotropic 5-dimensional
Memory Loss in Holographic Non-equilibrium Heating
We consider the time evolution of entanglement entropy after a global quench in a strongly coupled holographic two-dimensional system with initial temperature $T_i$. Subsequent equilibration
Time evolution of entanglement for holographic steady state formation
A bstractWithin gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time t = 0. A steady state
Holographic thermalization from nonrelativistic branes
In this paper, based on the fundamental principles of Gauge/gravity duality and considering a \textit{global quench}, we probe the physics of thermalization for a special class of strongly coupled
...
...

References

SHOWING 1-10 OF 70 REFERENCES
Mech
  • 2005
Phys. Rev. Lett. J. High Energy Phys
  • Phys. Rev. Lett. J. High Energy Phys
  • 2006
      • 2012
      J. Stat. Mech
      • J. Stat. Mech
      • 2005
      Nucl. Phys. B
      • Nucl. Phys. B
      • 1999
      High Energy Phys
      • High Energy Phys
      • 2011
      • 2011
      • 2011
      ...
      ...