Exact hydrodynamic description of symmetry-resolved Rényi entropies after a quantum quench. (1st August 2022)

• Record Type: Journal Article
• Authors: Scopa, Stefano; Horváth, Dávid X
• Is Part Of: Journal of statistical mechanics. (2022:Aug.)
• Publication Date: 2022-08-01
• Subjects: entanglement entropies -- quantum quenches -- symmetries of integrable models -- conformal field theory; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac85eb
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We investigate the non-equilibrium dynamics of the symmetry-resolved Rényi entropies in a one-dimensional gas of non-interacting spinless fermions by means of quantum generalised hydrodynamics, which recently allowed to obtain very accurate results for the total entanglement in inhomogeneous quench settings. Although our discussion is valid for any quench setting accessible with quantum generalised hydrodynamics, we focus on the case of a quantum gas initially prepared in a bipartite fashion and subsequently let evolve unitarily with a hopping Hamiltonian. For this system, we characterise the symmetry-resolved Rényi entropies as function of time t and of the entangling position x along the inhomogeneous profile. We observe an asymptotic logarithmic growth of the charged moments at half system and an asymptotic restoration of equipartition of entropy among symmetry sectors with deviations which are proportional to the square of the inverse of the total entropy.