Spread of entanglement in a Sachdev-Ye-Kitaev chain

2017/08/02 by Yingfei Gu, Andrew Lucas, Xiao-Liang Qi · 1 voice · 1 citation
Physics and Astronomy · #cond-mat.str-el #hep-th

paper · pdf · doi:10.1007/jhep09(2017)120

published as J. High Energ. Phys. (2017) 2017: 120 · 1+46 pages, 11 figures

arxiv created 2017/08/02 · arxiv published 2017/08/02 · arxiv updated 2017/09/29

Abstract

We study the spread of Rényi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield 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 Rényi index n>1, the Rényi 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-AdS₂ gravity.

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Discussions

• I am trying to understand the canonical purification isomorphism for fermionic systems described in Quantum epidomology and more specifically in Spread of entanglement in SYK chain (sec 2.2). My quest [stackexchange, 2 points]

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