Dynamical Fermionization and Scaling Behaviour for a Strongly Repulsive Spinor Gas after Quench

Dynamical fermionization has been theoretically demonstrated for trapped 1D bosonic and anyonic gases in the Tonks-Girardeau limit. It refers to the phenomenon where, after the initial harmonic confinement is turned off, the momentum distribution of the system asymptotically approaches that of a trapped Fermi gas. Evidence of dynamical fermionization was experimentally shown for 1D hard core bosonic gases recently. We extend this study to a harmonically confined 1D spinor gas in the hard core and strongly repulsive regimes, and analytically prove the existence of dynamical fermionization. We further discuss numerical investigation of two particle and few particle calculations for specific spinor systems. Finally, we present the Tan contact for a strongly interacting spinor system, as well as its scaling during expansion.