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Symmetry decomposition of relative entropies in conformal field theory

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arxiv 2104.03102 v4 pith:AN4PQZUQ submitted 2021-04-07 hep-th cond-mat.stat-mech

Hui-Huang Chen This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords symmetryrelativeentropiesconformalfieldnumericalreplicaresolved
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abstract

We consider the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) which presents an internal $U(1)$ symmetry. We calculate various symmetry resolved R\'enyi relative entropies between one interval reduced density matrices of CFT primary states using the replica method. By taking the replica limit, the symmetry resolved relative entropy can be obtained. We also take the XX spin chain model as a concrete lattice realization of this CFT to perform numerical computation. The CFT predictions are tested against exact numerical calculations finding perfect agreement.

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  1. On symmetry-resolved generalized entropies

    quant-ph 2024-12 conditional novelty 7.0 of 10

    A new framework computes generalized charged moments and symmetry-resolved Rényi entropies for arbitrary excited states of the free compact boson CFT, benchmarked against the XX chain.

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