Symmetry Resolved Measures in Quantum Field Theory: a Short Review

Abstract

In this short review we present the key definitions, ideas and techniques involved in the study of symmetry resolved entanglement measures, with a focus on the symmetry resolved entanglement entropy. In order to be able to define such entanglement measures, it is essential that the theory under study possess an internal symmetry. Then, symmetry resolved entanglement measures quantify the contribution to a particular entanglement measure that can be associated to a chosen symmetry sector. Our review focuses on conformal (gapless/massless/critical) and integrable (gapped/massive) quantum field theories, where the leading computational technique employs symmetry fields known as (composite) branch point twist fields.

32 pages, 1 figure. v2 includes additional references

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Cited by in corpus (9)

• Entanglement asymmetry in the critical XXZ spin chain
• Non-abelian symmetry-resolved entanglement entropy
• Observable-projected ensembles
• Quench dynamics of entanglement entropy under projective charge measurements: the free fermion case
• Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
• Revisiting the symmetry-resolved entanglement for non-invertible symmetries in $1+1$d conformal field theories
• $2$-Rényi CCNR Negativity of Compact Boson for multiple disjoint intervals
• Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
• Revisiting the $k$-theorem with the ANEC