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Non-unitary dynamics of Sachdev-Ye-Kitaev chain
by Chunxiao Liu, Pengfei Zhang, Xiao Chen
|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|
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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Anonymous Report 1 on 2021-1-21 Invited Report
The authors have addressed all my comments in a satisfactory way, and I thus reccommend publication.