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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.

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