# Non-unitary dynamics of Sachdev-Ye-Kitaev chain

### 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:
Editor-in-charge assigned

### Submission & Refereeing History

Resubmission 2008.11955v2 on 13 January 2021
Submission scipost_202009_00009v1 on 7 September 2020

## Reports on this Submission

### Report

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

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