Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
| Autor: | Alexandre Krajenbrink, Jérôme Dubail, Pasquale Calabrese, Stefano Scopa |
|---|---|
| Přispěvatelé: | Laboratoire de Physique et Chimie Théoriques (LPCT), Institut de Chimie du CNRS (INC)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
quantum hydrodynamics [PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas] [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] General Physics and Astronomy FOS: Physical sciences Quantum entanglement 01 natural sciences gas expansion 010305 fluids & plasmas entanglement hard-core particles exact results Entropy (classical thermodynamics) Correlation function 0103 physical sciences Free expansion Wigner distribution function [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] 010306 general physics Quantum Condensed Matter - Statistical Mechanics Mathematical Physics ComputingMilieux_MISCELLANEOUS Physics Statistical Mechanics (cond-mat.stat-mech) Conformal field theory Statistical and Nonlinear Physics Settore FIS/02 - Fisica Teorica Modelli e Metodi Matematici Classical mechanics Quantum hydrodynamics Modeling and Simulation |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2021, 54 (40), pp.404002. ⟨10.1088/1751-8121/ac20ee⟩ |
| ISSN: | 1751-8113 1751-8121 |
| DOI: | 10.48550/arxiv.2105.05054 |
| Popis: | 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. Comment: 27 pages, 8 figures; v2: minor changes |
| Databáze: | OpenAIRE |
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