Symmetry Resolved Entanglement in Integrable Quantum Field Theory

ORAL · Invited

Abstract

In this talk I will review some recent results relating to a measure of entanglement known as symmetry resolved entropy (SRE). This is a measure that can be defined for theories that possess an internal symmetry and which quantifies the amount of entanglement that is contributed by each symmetry sector. In the context of integrable quantum field theory, the SRE can be computed using correlation functions of composite twist fields, extending the standard programme for entanglement measures. In my talk I will give a summary of some results I have contributed to in this direction, which deal with different models and/or states

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Publication: Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions, L. Capizzi, O.A. Castro-Alvaredo, C. De Fazio, M. Mazzoni and L. Santamaría-Sanz, arXiv:2206.12223

Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits, L. Capizzi, O.A. Castro-Alvaredo, C. De Fazio, M. Mazzoni and L. Santamaría-Sanz, arXiv:2203.12556 (Accepted for Publication in JHEP)

Entanglement of the 3-State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies, L. Capizzi, D. X. Horváth, P. Calabrese and O.A. Castro-Alvaredo, JHEP 05, 113 (2022); arXiv:2108.10935.

Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement, D.X. Horváth, P. Calabrese and O.A. Castro-Alvaredo, SciPost Phys. 12, 088 (2022), arXiv:2105.13982.

Presenters

  • Olalla Castro-Alvaredo

    City University of London

Authors

  • Olalla Castro-Alvaredo

    City University of London