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.

Full counting statistics in the gapped XXZ spin chain / Calabrese, P.; Collura, M.; Di Giulio, G.; Murciano, S.. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 129:6(2020), pp. 1-6. [10.1209/0295-5075/129/60007]

Full counting statistics in the gapped XXZ spin chain

Calabrese, P.;Collura, M.;Di Giulio, G.;Murciano, S.
2020-01-01

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 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.
2020
129
6
1
6
60007
https://arxiv.org/abs/2002.04367
Calabrese, P.; Collura, M.; Di Giulio, G.; Murciano, S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/112849
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