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 6
Marko Medenjak et al., Diffusion from convection
SciPost Phys. 9, 075 (2020) [Crossref]
Paola Ruggiero et al., Quantum Generalized Hydrodynamics
Phys. Rev. Lett. 124, 140603 (2020) [Crossref]
Colin Rylands et al., Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas
Phys. Rev. Lett. 124, 155302 (2020) [Crossref]
Mario Collura et al., Domain wall melting in the spin-
XXZ spin chain: Emergent Luttinger liquid with a fractal quasiparticle charge
Phys. Rev. B 102, 180409 (2020) [Crossref]
Maurizio Fagotti, Locally quasi-stationary states in noninteracting spin chains
SciPost Phys. 8, 048 (2020) [Crossref]
Axel Cortes Cubero et al., Generalized hydrodynamics regime from the thermodynamic bootstrap program
SciPost Phys. 8, 004 (2020) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Milosz Panfil,
- 1 Jacek Pawełczyk