Work

Towards an ab initio derivation of generalized hydrodynamics from a gas of interacting wave packets

Year: 2026

Type: article

Abstract: We present steps towards an ab initio derivation of generalized hydrodynamics (GHD) in quantum integrable models, starting from the Bethe wave functions, and explained on the example of the repulsive Lieb–Liniger model. This includes an identification of the GHD quasi-particles as wave packets in the quantum model. These wave packets evolve according to a classical particle model and collect two-particle scattering shifts similar to solitons in integrable PDEs. We then discuss potential routes to obtain the GHD equation for average conserved densities in long-wavelength states from this description. As part of this, we provide an explicit formula for the action of the spectral phase-space density operator on Bethe wave functions, and show that it generates local conserved densities.

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/ae5c8b

Authors: Benjamin Doyon, Friedrich Hübner

Institution: King's College London

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Engineering and Physical Sciences Research Council