Symmetry resolved entanglement in free fermionic systems
Riccarda Bonsignori, Paola Ruggiero, Pasquale Calabrese
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Source: Crossref
Published: Oct 28, 2019
DOI: 10.1088/1751-8121/ab4b77
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Abstract We consider the symmetry resolved Rényi entropies in the one dimensional tight binding model, equivalent to the spin-1/2 XX chain in a magnetic field. We exploit the generalised Fisher–Hartwig conjecture to obtain the asymptotic behaviour of the entanglement entropies with a flux charge insertion at leading and subleading orders. The contributions are found to exhibit a rich structure of oscillatory behaviour. We then use these results to extract the symmetry resolved entanglement, determining exactly all the non-universal constants and logarithmic corrections to the scaling that are not accessible to the field theory approach. We also discuss how our results are generalised to a one-dimensional free fermi gas.
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