Quenches from bosonic Gaussian initial states to the Tonks-Girardeau limit: Stationary states and effects of a confining potential

摘要: We consider the general problem of quenching an interacting Bose gas from noninteracting regime to strongly repulsive limit described by Tonks-Girardeau with initial state being a Gaussian ensemble in terms bosons. A generic multipoint correlation function steady can be fully Fredholm-like determinant suitable both for numerical and analytical study certain limiting cases. Finally, we extend presence smooth confining potential showing that, thermodynamic limit, time evolution two-point mapped classical problem.