Interaction quenches in 1D Bose gas
Mario Collura, SISSA Trieste
We study the non-equilibrium quench dynamics from free to hard-core one-dimensional bosons, in which the relation between modes is nonlinear, and consequently Wick’s theorem does not hold. We provide exact analytical results for the time evolution of the dynamical density-density correlation function. We prove that its stationary value is described by a Generalized Gibbs Ensemble (GGE). We analyze the entanglement properties of the the asymptotic steady state after the quench providing exact analytical results for both the leading extensive parts and the subleading terms for the entropies as well as for the cumulants of the particle number fluctuations. Finally, we extended the quench protocol in the presence of a hard-wall confining potential. We characterize the density profile and the two-point fermionic correlation function in the stationary state as well as their full time evolution.