On symmetry-resolved generalized entropies
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1.
Brookhaven National Laboratory
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2.
California Institute of Technology
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3.
International Centre for Theoretical Physics
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4.
INFN Sezione di Trieste
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5.
International School for Advanced Studies
Abstract
Symmetry-resolved entanglement, capturing the refined structure of quantum entanglement in systems with global symmetries, has attracted a lot of attention recently. In this manuscript, introducing the notion of symmetry-resolved generalized entropies, we aim to develop a computational framework suitable for the study of excited state symmetry-resolved entanglement as well as the dynamical evolution of symmetry-resolved entanglement in symmetry-preserving out-of-equilibrium settings. We illustrate our framework using the example of (1+1)-d free massless compact boson theory, and benchmark our results using lattice computation in the XX chain. As a byproduct, our computational framework also provides access to the probability distribution of the symmetry charge contained within a subsystem and the corresponding full counting statistics.
Copyright and License
Copyright F. Yan et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
Acknowledgement
We thank Luca Capizzi and Giuseppe Di Giulio for helpful discussions related to this project. FY thanks the Simons Center for Geometry and Physics at Stony Brook University for great hospitality at various stages of this work.
Funding
The work of FY was supported by the U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-SC0012704. SM thanks the support from the Walter Burke Institute for Theoretical Physics and the Institute for Quantum Information and Matter at Caltech. PC acknowledges support from ERC under Consolidator Grant number
771536 (NEMO) and from European Union - NextGenerationEU, in the framework of the PRIN Project HIGHEST no. 2022SJCKAH_002.
Files
SciPostPhys_18_6_211.pdf
Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2412.14165 (arXiv)
Funding
- United States Department of Energy
- DE-SC0012704
- California Institute of Technology
- European Research Council
- 771536
- European Commission
- 2022SJCKAH_002
Dates
- Submitted
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2025-01-17
- Accepted
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2025-06-10
Caltech Custom Metadata
- Caltech groups
- Institute for Quantum Information and Matter , Walter Burke Institute for Theoretical Physics , Division of Physics, Mathematics and Astronomy (PMA)
- Publication Status
- Published