Linearized regime of the generalized hydrodynamics with diffusion

Miłosz Panfil; Jacek Pawełczyk

doi:10.21468/scipostphyscore.1.1.002

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arXiv · 1905.06257

Linearized regime of the generalized hydrodynamics with diffusion

Miłosz Panfil·Jacek Pawełczyk

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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.

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Miłosz Panfil, Jacek Pawełczyk. 2019-05-15. Linearized regime of the generalized hydrodynamics with diffusion. https://doi.org/10.21468/scipostphyscore.1.1.002

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