Full counting statistics in the gapped XXZ spin chain

@article{Calabrese2020FullCS,
  title={Full counting statistics in the gapped XXZ spin chain},
  author={Pasquale Calabrese and Mario Collura and Giuseppe Di Giulio and Sara Murciano},
  journal={Europhysics Letters},
  year={2020},
  volume={129}
}
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 large spin block of length ℓ. 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… 

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