2019/07/03 by Riccarda Bonsignori, Paola Ruggiero, Pasquale Calabrese · 2 citations
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.quant-gas #hep-th #quant-ph
paper · pdf · doi:10.1088/1751-8121/ab4b77
25 pages, 6 figures
arxiv created 2019/07/03 · arxiv updated 2020/01/08
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 o(1) 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.