Non-unitary dynamics of Sachdev-Ye-Kitaev chain
- URL: http://arxiv.org/abs/2008.11955v2
- Date: Tue, 12 Jan 2021 10:40:12 GMT
- Title: Non-unitary dynamics of Sachdev-Ye-Kitaev chain
- Authors: Chunxiao Liu, Pengfei Zhang, Xiao Chen
- Abstract summary: We construct a series of one-dimensional non-unitary dynamics based on the Sachdev-Ye-Kitaev model.
We analyze the entanglement dynamics using the path integral formalism in the large $N$ limit.
- Score: 20.29920872216941
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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