Entanglement asymmetry and symmetry defects in boundary conformal field theory
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1.
Kyushu University
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2.
RIKEN
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3.
California Institute of Technology
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4.
Kavli Institute for the Physics and Mathematics of the Universe
Abstract
A state in a quantum system with a given global symmetry, G, can be sensitive to the presence of boundaries, which may either preserve or break this symmetry. In this work, we investigate how conformal invariant boundary conditions influence the G-symmetry breaking through the lens of the entanglement asymmetry, a quantifier of the "distance" between a symmetry-broken state and its symmetrized counterpart. By leveraging 2D boundary conformal field theory (BCFT), we investigate the symmetry breaking for both finite and compact Lie groups. Beyond the leading order term, we also compute the subleading corrections in the subsystem size, highlighting their dependence on the symmetry group G and the BCFT operator content. We further explore the entanglement asymmetry following a global quantum quench, where a symmetry-broken state evolves under a symmetry-restoring Hamiltonian. In this dynamical setting, we compute the entanglement asymmetry by extending the method of images to a BCFT with non-local objects such as invertible symmetry defects.
Copyright and License (English)
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Acknowledgement (English)
We thank Filiberto Ares, Pasquale Calabrese, Michele Fossati, and Colin Rylands for sharing the results [67] they have found in a setup similar to the one analyzed in this paper.
Funding (English)
This research has been supported in part by Caltech’s the Walter Burke Institute for Theoretical Physics. The research by YK, SP, and HO has also been supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. YK has also been supported in part by the Brinson Prize Fellowship at Caltech, by the INAMORI Frontier Program at Kyushu University, and by JSPS KAKENHI Grant Number 23K20046. SM thanks support from Caltech Institute for Quantum Information and Matter. HO’s research has also been supported in part by the Simons Investigator Award (MP-SIP-00005259), the Guggenheim Foundation, and JSPS Grants-in-Aid for Scientific Research 23K03379. His work was performed in part at the Kavli Institute for the Physics and Mathematics of the Universe at the University of Tokyo, which is supported by the World Premier International Research Center Initiative, MEXT, Japan, and at the Aspen Center for Physics, which is supported by NSF grant PHY-1607611.
Additional Information (English)
ArXiv ePrint: 2411.09792
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Additional details
- Office of High Energy Physics
- DE-SC001163
- California Institute of Technology
- Brinson Prize Fellowship -
- Kyushu University
- INAMORI Frontier Program -
- Japan Society for the Promotion of Science
- KAKENHI 23K20046
- Simons Foundation
- Simons Investigator Award MP-SIP-00005259
- Harry Frank Guggenheim Foundation
- Japan Society for the Promotion of Science
- Grants-in-Aid for Scientific Research 23K03379
- Accepted
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2024-12-09Accepted
- Available
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2025-01-09Published online
- Caltech groups
- Caltech Theory, Walter Burke Institute for Theoretical Physics
- Series Name
- CALT-TH
- Series Volume or Issue Number
- 2024-045
- Publication Status
- Published