Non-unitary dynamics of Sachdev-Ye-Kitaev chain

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...

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Bibliographic Details
Published inSciPost physics Vol. 10; no. 2; p. 048
Main Authors Liu, Chunxiao, Zhang, Pengfei, Chen, Xiao
Format Journal Article
LanguageEnglish
Published SciPost 01.02.2021
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Summary: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.
ISSN:2542-4653
2542-4653
DOI:10.21468/SciPostPhys.10.2.048