Introduces a fluid-cell projection to define soliton positions at finite density in KdV gases, proves it satisfies hydrodynamic properties and reproduces the 2003 kinetic equation without randomness.
Towards an ab initio derivation of generalised hydrodynamics from a gas of interacting wave packets
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
We present steps towards an ab initio derivation of generalised hydrodynamics 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 generalised hydrodynamics 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 generalised hydrodynamics 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.
representative citing papers
In integrable one-dimensional systems hydrodynamic noise vanishes according to a projected Kubo formula, yielding a ballistic macroscopic fluctuation theory that describes all-order hydrodynamics.
Space-time fluctuations for currents in the thermal Toda lattice converge to an explicit Gaussian limit under diffusive scaling, implying Brownian motion for single-particle trajectories and explicit 1/time correlation decays.
The thermal Toda lattice is modeled as quasiparticles whose locations satisfy an asymptotic scattering relation derived from eigenvector properties of the Lax matrix.
citing papers explorer
-
Where solitons are in a KdV soliton gas
Introduces a fluid-cell projection to define soliton positions at finite density in KdV gases, proves it satisfies hydrodynamic properties and reproduces the 2003 kinetic equation without randomness.
-
Hydrodynamic noise in one dimension: projected Kubo formula and how it vanishes in integrable models
In integrable one-dimensional systems hydrodynamic noise vanishes according to a projected Kubo formula, yielding a ballistic macroscopic fluctuation theory that describes all-order hydrodynamics.
-
Fluctuations for the Toda lattice
Space-time fluctuations for currents in the thermal Toda lattice converge to an explicit Gaussian limit under diffusive scaling, implying Brownian motion for single-particle trajectories and explicit 1/time correlation decays.
-
Asymptotic Scattering Relation for the Toda Lattice
The thermal Toda lattice is modeled as quasiparticles whose locations satisfy an asymptotic scattering relation derived from eigenvector properties of the Lax matrix.