Collapse and Revival in Holographic Quenches

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.

References in corpus (6)

• Thermalization of Strongly Coupled Field Theories
• Holographic Evolution of Entanglement Entropy
• Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
• Quantum relaxation after a quench in systems with boundaries
• Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
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Cited by in corpus (8)

• Emergent SU(2) dynamics and perfect quantum many-body scars
• Collapse and Nonlinear Instability of AdS with Angular Momenta
• Holographic Quenches in a Confined Phase
• Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity
• Subsystem complexity after a local quantum quench
• The instability of anti-de Sitter space-time
• Gravitational systems in asymptotically anti-de Sitter space-times
• A simple holographic scenario for gapped quenches