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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2022

Thermodynamic symmetry resolved entanglement entropies in integrable systems

Résumé

Abstract We develop a general approach to compute the symmetry-resolved Rényi 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 Gärtner–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.
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Dates et versions

hal-03853839 , version 1 (15-11-2022)

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Lorenzo Piroli, Eric Vernier, Mario Collura, Pasquale Calabrese. Thermodynamic symmetry resolved entanglement entropies in integrable systems. Journal of Statistical Mechanics: Theory and Experiment, 2022, 2022 (7), pp.073102. ⟨10.1088/1742-5468/ac7a2d⟩. ⟨hal-03853839⟩
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