Full counting statistics in the gapped XXZ spin chain

• URL: http://arxiv.org/abs/2002.04367v1
• Date: Tue, 11 Feb 2020 13:24:27 GMT
• Title: Full counting statistics in the gapped XXZ spin chain
• Authors: Pasquale Calabrese, Mario Collura, Giuseppe Di Giulio, Sara Murciano
• Abstract summary: We derive exact results for the full counting statistics of the transverse magnetisation in a spin block of length. As a byproduct, we also obtain the symmetry (magnetisation) resolved entanglement entropies.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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