Effective mass of elementary excitations in Galilean-invariant integrable models

Abstract

We study low-energy excitations of one-dimensional Galilean-invariant models integrable by Bethe ansatz and characterized by nonsingular two-particle scattering phase shifts. We prove that the curvature of the excitation spectra is described by the recently proposed phenomenological expression for the effective mass. Our results apply to such models as the repulsive Lieb-Liniger model and the hyperbolic Calogero-Sutherland model.

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Cited by in corpus (8)

• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Viscous Dissipation in One-Dimensional Quantum Liquids
• Spectrum of elementary excitations in Galilean-invariant integrable models
• Hall response in interacting bosonic and fermionic ladders
• Exact result for the polaron mass in a one-dimensional Bose gas
• Method of difference-differential equations for some Bethe ansatz solvable models
• Phase space holography with no strings attached
• Local Properties of the Rapidity Distribution in the Lieb-Liniger Model