Quench between a Mott insulator and a Lieb-Liniger liquid

In this work we study a quench between a Mott insulator and a repulsive Lieb-Liniger liquid. We explicitly find the stationary state when a long time has passed after the quench. It is given by a generalized Gibbs ensemble (GGE) density matrix, which we completely characterize, calculating the quasiparticle density that describes the system after the quench. In the long-time limit we find an explicit form for the local three-body density-density-density correlation function and the asymptotic long-distance limit of the two-point density-density correlation function. The latter is shown to have Gaussian decay at large distances.

Figure 1

The Lieb-Liniger gas is initialized in a nonequilibrium state—the Mott insulator (say by applying an external lattice). The lattice is removed and the system is allowed to relax for a long time. Its correlation functions are then measured.