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Status |
Confirmed |
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Seminar Series |
LPTMS |
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Subjects |
cond-mat.stat-mech |
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Date |
Tuesday 26 October 2021 |
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Time |
11:00 |
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Institute |
LPTMS |
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Seminar Room |
Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530 |
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Speaker's Last Name |
Murciano |
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Speaker's First Name |
Sara |
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Speaker's Email Address |
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Speaker's Institution |
SISSA |
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Title |
Symmetry-resolved entanglement and negativity in systems with U(1) symmetry |
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Abstract |
Symmetries are a pillar of modern physics and an evergreen research topic is the characterisation of how the
presence of a symmetry influences the properties of a physical system. I will present an analysis of the
entanglement entropies and negativities related to different symmetry sectors of systems with an internal
U(1) symmetry. The entanglement entropy admits a decomposition according to its total preserved charge
thanks to the block diagonal form of the density matrix. Despite this structure becomes nontrivial after the
operation of partial transposition on the density matrix, it has been shown that negativity admits a resolution
in terms of the charge imbalance between two subsystems. I will focus on the resolution of entanglement and
negativity for free Dirac fields in two spacetime dimensions at finite temperature and size. To this end, I use a
geometrical construction in terms of an Aharonov-Bohm-like flux inserted in the Riemann surface defining the
entanglement. The main interesting finding is that both entanglement entropy and negativity are equally
distributed among the different symmetry sectors at leading order. |
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arXiv Preprint Number |
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Comments |
For zoom ID and PW, please write to valentina.ros@universite-paris-saclay.fr |
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Attachments |
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