Fermionization dynamics of a strongly interacting one-dimensional Bose gas after an interaction quench

Abstract

We study the dynamics of a one-dimensional Bose gas after a sudden change of the interaction strength from zero to a finite value using the numerical time-evolving block decimation (TEBD) algorithm. It is shown that despite the integrability of the system, local quantities such as the two-particle correlation g(2)(x, x) attain steady-state values in a short characteristic time inversely proportional to the Tonks parameter γ and the square of the density. The asymptotic values are very close to those of a finite temperature grand canonical ensemble, with a local temperature corresponding to the initial energy and density. Non-local density-density correlations, however, approach a steady state on a much larger time scale determined by the finite propagation velocity of oscillatory correlation waves. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.