Quench dynamics of a Tonks-Girardeau gas in one dimensional anharmonic trap

The quench dynamics of a strongly interacting bosons on quartic and sextic trap are studied by solving the time dependent many-boson Schrodinger equation numerically exactly. The dynamics is addressed by the key measures of one-body density in conjugate space and information entropy. For both cases, rich many-body dynamics is exhibited and loss of Bose-Fermi oscillation in the Tonks-Girardeau limit is also attributed.