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Non-unitary dynamics of Sachdev-Ye-Kitaev chain
by Chunxiao Liu, Pengfei Zhang, Xiao Chen
Submission summary
| Authors (as registered SciPost users): | Chunxiao Liu · Pengfei Zhang |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2008.11955v2 (pdf) |
| Date accepted: | Feb. 8, 2021 |
| Date submitted: | Jan. 13, 2021, 9:23 a.m. |
| Submitted by: | Chunxiao Liu |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Published as SciPost Phys. 10, 048 (2021)