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Phase transition in von Neumann entropy from replica symmetry breaking
- Source :
- Journal of High Energy Physics, Vol 2023, Iss 11, Pp 1-34 (2023)
- Publication Year :
- 2023
- Publisher :
- SpringerOpen, 2023.
-
Abstract
- Abstract 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.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2023
- Issue :
- 11
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f18fa74d108c43a8a5d5e4891c34841e
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP11(2023)221