The Whitham approach to the c → 0 limit of the Lieb–Liniger model and generalized hydrodynamics
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab8676
Abstract: The Whitham approach is a well-studied method to describe non-linear integrable systems. Although approximate in nature, its results may predict rather accurately the time evolution of such systems in many situations given initial conditions. A… read more here.
Keywords: lieb liniger; whitham approach; hydrodynamics; limit ... See more keywords
Large-Scale Description of Interacting One-Dimensional Bose Gases: Generalized Hydrodynamics Supersedes Conventional Hydrodynamics.
Sign Up to like & getrecommendations! Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.119.195301
Abstract: The theory of generalized hydrodynamics (GHD) was recently developed as a new tool for the study of inhomogeneous time evolution in many-body interacting systems with infinitely many conserved charges. In this Letter, we show that… read more here.
Keywords: bose gases; generalized hydrodynamics; conventional hydrodynamics; one dimensional ... See more keywords
Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy and Generalized Hydrodynamics.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.190401
Abstract: We consider fermions defined on a continuous one-dimensional interval and subject to weak repulsive two-body interactions. We show that it is possible to perturbatively construct an extensive number of mutually compatible conserved charges for any… read more here.
Keywords: hydrodynamics; generalized hydrodynamics; born green; kirkwood yvon ... See more keywords