Interaction quenches in the one-dimensional Bose gas

摘要: The nonequilibrium dynamics of integrable systems are highly constrained by the conservation certain charges. There is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described generalized Gibbs ensemble (GGE) built from conserved Most studies on GGE so far have focused models mapped to quadratic systems, while analytic treatment in nonquadratic remained elusive. We obtain results interaction quenches continuum system, one-dimensional (1D) Bose gas Lieb-Liniger model. direct implementation prescription prohibited divergence charges, which we conjecture endemic any with contact interactions undergoing sudden quench. compute local correlators for noninteracting initial and arbitrary final as well two-point functions Tonks-Girardeau regime. show long time limit integrability leads significant deviations predictions grand canonical ensemble, allowing an experimental verification cold-atom systems.