We develop a general approach to compute the symmetry-resolved Renyi and von Neumann entanglement entropies (SREE) of thermodynamic macrostates in interacting integrable systems. Our method is based on a combination of the thermodynamic Bethe ansatz and the Gartner-Ellis theorem from large deviation theory. We derive an explicit simple formula for the von Neumann SREE, which we show to coincide with the thermodynamic Yang-Yang entropy of an effective macrostate determined by the charge sector. Focusing on the XXZ Heisenberg spin chain, we test our result against iTEBD calculations for thermal states, finding good agreement. As an application, we provide analytic predictions for the asymptotic value of the SREE following a quantum quench.

Thermodynamic symmetry resolved entanglement entropies in integrable systems / Piroli, L.; Vernier, E.; Collura, M.; Calabrese, P.. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2022:(2022), pp. 1-18. [10.1088/1742-5468/ac7a2d]

Thermodynamic symmetry resolved entanglement entropies in integrable systems

Piroli, L.;Vernier, E.;Collura, M.;Calabrese, P.
2022-01-01

Abstract

We develop a general approach to compute the symmetry-resolved Renyi and von Neumann entanglement entropies (SREE) of thermodynamic macrostates in interacting integrable systems. Our method is based on a combination of the thermodynamic Bethe ansatz and the Gartner-Ellis theorem from large deviation theory. We derive an explicit simple formula for the von Neumann SREE, which we show to coincide with the thermodynamic Yang-Yang entropy of an effective macrostate determined by the charge sector. Focusing on the XXZ Heisenberg spin chain, we test our result against iTEBD calculations for thermal states, finding good agreement. As an application, we provide analytic predictions for the asymptotic value of the SREE following a quantum quench.
2022
2022
1
18
073102
https://arxiv.org/abs/2203.09158
Piroli, L.; Vernier, E.; Collura, M.; Calabrese, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/131442
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