Holographic relaxation of finite size isolated quantum systems

A bstract 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 AdS 4 . In global coordinates there exists a variety of evolutions towards final black hole formation which...

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Bibliographic Details
Published in:The journal of high energy physics 2014-05, Vol.2014 (5), p.1-33, Article 126
Main Authors: Abajo-Arrastia, Javier, da Silva, Emilia, Lopez, Esperanza, Mas, Javier, Serantes, Alexandre
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
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Dynamics
Elementary Particles
Entanglement
Entropy
Evolution
Field theory
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Relativity Theory
String Theory
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Summary:A bstract 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 AdS 4 . 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2014)126