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Correlation dynamics of strongly-correlated bosons out of equilibrium induced by a lattice time-modulation

Karen Rodríguez, Arturo Argüelles, Luis Santos

Published May 20, 2009• 0 citations
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We analyze by means of Matrix-Product-State simulations the correlation dynamics of strongly-correlated superfluid Bose gases in one-dimensional time-dependent optical lattices. We show that, as for the case of abrupt quenches, a quasi-adiabatic modulation of the lattice is characterized by a relatively long transient regime for which quasi-local single-particle correlation functions have already converged to a new equilibrium, whereas long-range correlations and particularly the quasi-condensate fraction may still present a very significant dynamics well after the end of the lattice modification. We also address the issue of adiabaticity by considering the fidelity between the time-evolved state and the ground-state of the final lattice.
We use a time-dependent hopping expansion technique to study the non-equilibrium dynamics of strongly interacting bosons in an optical lattice in the presence of a harmonic trap characterized by a force constant K. We show that after a sudden quench of the hopping amplitude J across the superfluid (SF)-Mott insulator (MI) transition, the SF order parameter [Formula: see text] and the local density fluctuation [Formula: see text] exhibit sudden decoherence beyond a trap-induced time scale [Formula: see text]. We also show that after a slow linear ramp down of J, [Formula: see text] and the boson defect density [Formula: see text] display a novel non-monotonic spatial profile. Both these phenomena can be explained as consequences of trap-induced time and length scales affecting the dynamics and can be tested by concrete experiments.