Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition

Zhi-Xuan Meng, Shuai-Xia Xu, Yu-Qiu Zhao

In the present paper, we study the time-dependent correlation function of the one-dimensional impenetrable Bose gas, which can be expressed in terms of the Fredholm determinant of…