Phase transition in von Neumann entropy from replica symmetry breaking

Shao-Kai Jian (Department of Physics and Engineering Physics, Tulane University, New Orleans, Louisiana, 70118, USA) ; Brian Swingle (Department of Physics, Brandeis University, Waltham, Massachusetts, 02453, USA)

We study the entanglement transition in monitored Brownian SYK chains in the large-N limit. Without measurement the steady state n-th Rényi entropy is obtained by summing over a class of solutions, and is found to saturate to the Page value in the n → 1 limit. In the presence of measurements, the analytical continuation n → 1 is performed using the cyclic symmetric solution. The result shows that as the monitoring rate increases, a continuous von Neumann entanglement entropy transition from volume-law to area-law occurs at the point of replica symmetry unbreaking.

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      "value": "We study the entanglement transition in monitored Brownian SYK chains in the large-N limit. Without measurement the steady state n-th R\u00e9nyi entropy is obtained by summing over a class of solutions, and is found to saturate to the Page value in the n \u2192 1 limit. In the presence of measurements, the analytical continuation n \u2192 1 is performed using the cyclic symmetric solution. The result shows that as the monitoring rate increases, a continuous von Neumann entanglement entropy transition from volume-law to area-law occurs at the point of replica symmetry unbreaking."
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Published on:
30 November 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 11
Pages 1-34
DOI:
https://doi.org/10.1007/JHEP11(2023)221
arXiv:
2108.11973
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: