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Symmetry-resolved Page curves

Murciano, S.
•
Calabrese, P.
•
Piroli, L.
2022
  • journal article

Periodico
PHYSICAL REVIEW D
Abstract
Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the average entanglement entropy associated with each possible spatial bipartition of the system. In this work, we study a natural extension in the presence of a conservation law and introduce the symmetry-resolved Page curves, characterizing average bipartite symmetry-resolved entanglement entropies. We derive explicit analytic formulas for two important statistical ensembles with a U(1)-symmetry: Haar-random pure states and random fermionic Gaussian states. In the former case, the symmetry-resolved Page curves can be obtained in an elementary way from the knowledge of the standard one. This is not true for random fermionic Gaussian states. In this case, we derive an analytic result in the thermodynamic limit based on a combination of techniques from random-matrix and large-deviation theories. We test our predictions against numerical calculations and discuss the subleading finite-size corrections.
DOI
10.1103/physrevd.106.046015
WOS
WOS:000850772800004
Archivio
https://hdl.handle.net/20.500.11767/131446
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85137296813
https://arxiv.org/abs/2206.05083
https://ricerca.unityfvg.it/handle/20.500.11767/131446
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