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Full counting statistics and symmetry resolved entanglement for free conformal theories with interface defects

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arxiv 2302.08209 v2 pith:JRO7CAV3 submitted 2023-02-16 hep-th cond-mat.stat-mechquant-ph

Full counting statistics and symmetry resolved entanglement for free conformal theories with interface defects

Luca Capizzi , Sara Murciano , Pasquale Calabrese This is my paper
classification hep-th cond-mat.stat-mechquant-ph
keywords symmetryanalyticalconformalcountingfreefullinterfacepredictions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We consider the ground state of two species of one-dimensional critical free theories coupled together via a conformal interface. They have an internal $U(1)$ global symmetry and we investigate the quantum fluctuations of the charge across the impurity, giving analytical predictions for the full counting statistics, the charged moments of the reduced density matrix and the symmetry resolved R\'enyi entropies. Our approach is based on the relation between the geometry with the defect and the homogeneous one, and it provides a way to characterise the spectral properties of the correlation functions restricted to one of the two species. Our analytical predictions are tested numerically, finding a perfect agreement.

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