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Non-unitary dynamics of Sachdev-Ye-Kitaev chain

by Chunxiao Liu, Pengfei Zhang, Xiao Chen

Submission summary

As Contributors: Chunxiao Liu · Pengfei Zhang
Arxiv Link: https://arxiv.org/abs/2008.11955v2 (pdf)
Date submitted: 2021-01-13 09:23
Submitted by: Liu, Chunxiao
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Statistical and Soft Matter Physics
Approach: Theoretical

Abstract

We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using the path integral formalism in the large $N$ limit. Among all the results that we obtain, two of them are particularly interesting: (1) By varying the strength of the imaginary evolution, the interacting model exhibits a first order phase transition from the highly entangled volume law phase to an area law phase; (2) The one-dimensional free fermion model displays an extensive critical regime with emergent two-dimensional conformal symmetry.

Current status:
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Reports on this Submission

Anonymous Report 1 on 2021-1-21 Invited Report

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The authors have addressed all my comments in a satisfactory way, and I thus reccommend publication.

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