2021
DOI: 10.48550/arxiv.2110.14574
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Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation

Rebekka Koch,
Jean-Sébastien Caux,
Alvise Bastianello

Abstract: We study the generalized hydrodynamics of the one-dimensional classical Non Linear Schroedinger 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, … Show more

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Cited by 2 publications
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“…densities and Fermi occupation function) have to be rescaled with an effective Planck parameter [38] (see e.g. [108] for the attractive Lieb-Liniger Bose gas).…”
Section: Higher Spinsmentioning
confidence: 99%
“…densities and Fermi occupation function) have to be rescaled with an effective Planck parameter [38] (see e.g. [108] for the attractive Lieb-Liniger Bose gas).…”
Section: Higher Spinsmentioning
confidence: 99%