Liu, Chunxiao and Zhang, Pengfei and Chen, Xiao (2021) Non-unitary dynamics of Sachdev-Ye-Kitaev chain. SciPost Physics, 10 (2). Art. No. 48. ISSN 2542-4653. doi:10.21468/scipostphys.10.2.048. https://resolver.caltech.edu/CaltechAUTHORS:20210528-101722127
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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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| Additional Information: | © 2021 C. Liu et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 07-09-2020; Accepted 08-02-2021; Published 23-02-2021. We acknowledge helpful discussions with Leon Balents, Yaodong Li, Andy Lucas and Marcin Szyniszewski. PZ acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech. CL is supported by the NSF CMMT program under Grants No. DMR-1818533. Use was made of computational facilities purchased with funds from the National Science Foundation (CNS-1725797) and administered by the Center for Scientific Computing (CSC). The CSC is supported by the California NanoSystems Institute and the Materials Research Science and Engineering Center (MRSEC; NSF DMR-1720256) at UC Santa Barbara. | ||||||||||
| Group: | Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics | ||||||||||
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| Issue or Number: | 2 | ||||||||||
| DOI: | 10.21468/scipostphys.10.2.048 | ||||||||||
| Record Number: | CaltechAUTHORS:20210528-101722127 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210528-101722127 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 109304 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Tony Diaz | ||||||||||
| Deposited On: | 28 May 2021 20:05 | ||||||||||
| Last Modified: | 28 May 2021 20:05 |
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