Linearized regime of the generalized hydrodynamics with diffusion
Miłosz Panfil, Jacek Pawełczyk
SciPost Phys. Core 1, 002 (2019) · published 22 November 2019
- doi: 10.21468/SciPostPhysCore.1.1.002
- Submissions/Reports
-
Abstract
We consider the generalized hydrodynamics including the recently introduced diffusion term for an initially inhomogeneous state in the Lieb-Liniger model. We construct a general solution to the linearized hydrodynamics equation in terms of the eigenstates of the evolution operator and study two prototypical classes of initial states: delocalized and localized spatially. We exhibit some general features of the resulting dynamics, among them, we highlight the difference between the ballistic and diffusive evolution. The first one governs a spatial scrambling, the second, a scrambling of the quasi-particles content. We also go one step beyond the linear regime and discuss the evolution of the zero momentum mode that does not evolve in the linear regime.
Cited by 15

Ontology / Topics
See full Ontology or Topics database.Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Miłosz Panfil,
- 1 Jacek Pawełczyk