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Symmetry resolved entanglement in free fermionic systems

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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… Click to show full abstract

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 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.

Keywords: resolved entanglement; fermionic systems; free fermionic; entanglement free; symmetry; symmetry resolved

Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019

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