Volume 129, Number 6, March 2020
|Number of page(s)||6|
|Published online||28 April 2020|
Full counting statistics in the gapped XXZ spin chain
1 International School for Advanced Studies (SISSA) - via Bonomea 265, 34136 Trieste, Italy
2 INFN, sezione di Trieste - via Bonomea 265, 34136 Trieste, Italy
3 International Centre for Theoretical Physics (ICTP) - I-34151, Trieste, Italy
Received: 19 February 2020
Accepted: 15 April 2020
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 obtain the symmetry (magnetisation) resolved entanglement entropies.
PACS: 05.30.-d – Quantum statistical mechanics / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 03.67.Mn – Entanglement measures, witnesses, and other characterizations
© EPLA, 2020
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