2021/05/31 by Stefano Scopa, Alexandre Krajenbrink, Pasquale Calabrese +1 · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Conformal field theory #Entropy (arrow of time) #Joint quantum entropy #Quantum #Quantum Information and Cryptography #Quantum discord #Quantum entanglement #Quantum many-body systems #Squashed entanglement #Wigner distribution function #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8121/ac20ee
published as J. Phys. A: Math. Theor. 54, 404002 (2021) · 27 pages, 8 figures; v2: minor changes
openalex created_date 2021/05/24 · openalex publication_date 2021/08/25 · arxiv created 2021/09/01 · arxiv updated 2021/09/10 · openalex updated_date 2026/08/05
Abstract We consider the non-equilibrium dynamics of the entanglement entropy of a one-dimensional quantum gas of hard-core particles, initially confined in a box potential at zero temperature. At t = 0 the right edge of the box is suddenly released and the system is let free to expand. During this expansion, the initially correlated region propagates with a non-homogeneous profile, leading to the growth of entanglement entropy. This setting is investigated in the hydrodynamic regime, with tools stemming from semi-classical Wigner function approach and with recent developments of quantum fluctuating hydrodynamics. Within this framework, the entanglement entropy can be associated to a correlation function of chiral twist-fields of the conformal field theory that lives along the Fermi contour and it can be exactly determined. Our predictions for the entanglement evolution are found in agreement with and generalize previous results in literature based on numerical calculations and heuristic arguments.