Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 52, Issue 47, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab4b77
Keywords
entanglement; symmetry resolved; free fermions
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Funding
- ERC [771536]
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We consider the symmetry resolved Renyi 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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