Generalized hydrodynamics of the attractive non-linear Schrӧdinger equation. (1st April 2022)

• Record Type: Journal Article
• Authors: Koch, Rebekka; Caux, Jean-Sébastien; Bastianello, Alvise
• Is Part Of: Journal of physics. Volume 55:Number 13(2022)
• Publication Date: 2022-04-01
• Subjects: generalized hydrodynamics -- attractive non-linear Schrӧdinger -- adiabatic interaction changes -- integrability; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ac53c3
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We study the generalized hydrodynamics of the one-dimensional classical non linear Schrӧdinger equation in the attractive phase. We thereby show that the thermodynamic limit is entirely captured by solitonic modes and radiation is absent. Our results are derived by considering the semiclassical limit of the quantum Bose gas, where the Planck constant has a key role as a regulator of the classical soliton gas. We use our result to study adiabatic interaction changes from the repulsive to the attractive phase, observing soliton production and obtaining exact analytical results which are in excellent agreement with Monte Carlo simulations.