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 total charge on one side of the interface, giving analytical predictions for the full counting statistics, the charged moments of the reduced density matrix and the symmetry resolved Rényi entropies. Our approach is based on the relation between the geometry with the defect and the homogeneous one, and it provides a way to characterize the spectral properties of the correlation functions restricted to one of the two species. Our analytical predictions are tested numerically, finding a perfect agreement.
Published July 2023
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Full counting statistics and symmetry resolved entanglement for free conformal theories with interface defects
Abstract
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© 2023 The Author(s). Published on behalf of SISSA Medialab srl by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Acknowledgement
P C and L C acknowledge support from ERC under Consolidator Grant Number 771536 (NEMO). S M thanks support from Institute for Quantum Information and Matter and the Walter Burke Institute for Theoretical Physics at Caltech.
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Funding
- European Research Council
- 771536
- California Institute of Technology
- Institute for Quantum Information and Matter
- California Institute of Technology
- Walter Burke Institute for Theoretical Physics