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Phase transition in von Neumann entropy from replica symmetry breaking.
- Source :
- Journal of High Energy Physics; Nov2023, Vol. 2023 Issue 11, p1-34, 34p
- Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 174312664
- Full Text :
- https://doi.org/10.1007/JHEP11(2023)221