☆ 4.4 Article

Spread of entanglement in a Sachdev-Ye-Kitaev chain

JOURNAL OF HIGH ENERGY PHYSICS (2017)

期刊

JOURNAL OF HIGH ENERGY PHYSICS

卷 -, 期 9, 页码 -

出版社

SPRINGER

DOI: 10.1007/JHEP09(2017)120

关键词

AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)

类别

Physics, Particles & Fields

资金

David and Lucile Packard Foundation
Gordon and Betty Moore Foundation's EPiQS Initiative [GBMF4302]
National Science Foundation [PHY-1607611]

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Protocol

Reagent

摘要

We study the spread of Renyi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermo field double (TFD) state. The SYK chain model is a model of chaotic many-body systems, which describes a one-dimensional lattice of Majorana fermions, with spatially local random quartic interaction. We find that for integer Renyi index n > 1, the Renyi entanglement entropy saturates at a parametrically smaller value than expected. This implies that the TFD state of the SYK chain does not rapidly thermalize, despite being maximally chaotic: instead, it rapidly approaches a prethermal state. We compare our results to the signatures of thermalization observed in other quenches in the SYK model, and to intuition from nearly-AdS 2 gravity.

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