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Relative entropy for coherent states in chiral CFT

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arxiv 1903.07508 v2 pith:4RYRLFLS submitted 2019-03-18 hep-th gr-qcquant-ph

Stefan Hollands This is my paper · ORCID
classification hep-thgr-qcquant-ph
keywords entropyrelativestatevacuumchiraldiffeomorphismfieldstress
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abstract

We consider the relative entropy between the vacuum state and a state obtained by applying an exponentiated stress tensor to the vacuum of a chiral conformal field theory on the lightray. The smearing function of the stress tensor can be viewed as a vector field on the real line generating a diffeomorphism. We show that the relative entropy is equal to $c$ times the so-called Schwarzian action of the diffeomorphism. As an application of this result, we obtain a formula for the relative entropy between the vacuum and a solitonic state.

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  1. A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory

    hep-th 2025-02 conditional novelty 4.0 of 10

    For a free massive scalar field in 1+1 dimensions, the Araki-Uhlmann relative entropy between a coherent state and the vacuum decreases with mass and increases with region size in numerical tests.

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