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Full counting statistics in the gapped XXZ spin chain

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arxiv 2002.04367 v1 pith:QBA5QAVG submitted 2020-02-11 cond-mat.stat-mech cond-mat.quant-gasquant-ph

Pasquale Calabrese , Mario Collura , Giuseppe Di Giulio , Sara Murciano This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.quant-gasquant-ph
keywords countingfullspinstatisticschainentanglementgappedgaussian
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We exploit the knowledge of the entanglement spectrum in the ground state of the gapped XXZ spin chain to derive asymptotic exact results for the full counting statistics of the transverse magnetisation in a spin block of length. We found that for a subsystem of even length the full counting statistics is Gaussian, while for odd subsystems it is the sum of two Gaussian distributions. We test our analytic predictions with accurate tensor networks simulations. As a byproduct, we also obtain the symmetry (magnetisation) resolved entanglement entropies.

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  1. On symmetry-resolved generalized entropies

    quant-ph 2024-12 conditional novelty 7.0 of 10

    A new framework computes generalized charged moments and symmetry-resolved Rényi entropies for arbitrary excited states of the free compact boson CFT, benchmarked against the XX chain.

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