Entanglement Hamiltonian during a domain wall melting in the free Fermi chain. (1st June 2022)

• Record Type: Journal Article
• Authors: Rottoli, Federico; Scopa, Stefano; Calabrese, Pasquale
• Is Part Of: Journal of statistical mechanics. (2022:Jun.)
• Publication Date: 2022-06-01
• Subjects: entanglement entropies -- conformal field theory -- Luttinger liquids -- quantum fluids; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac72a1
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We study the unitary time evolution of the entanglement Hamiltonian of a free Fermi lattice gas in one dimension initially prepared in a domain wall configuration. To this aim, we exploit the recent development of quantum fluctuating hydrodynamics. Our findings for the entanglement Hamiltonian are based on the effective field theory description of the domain wall melting and are expected to exactly describe the Euler scaling limit of the lattice gas. However, such field theoretical results can be recovered from high-precision numerical lattice calculations only when summing appropriately over all the hoppings up to distant sites.