Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes

Abstract

We study the ground-state properties and nonequilibrium dynamics of hard-core bosons confined in one-dimensional lattices in the presence of an additional periodic potential (superlattice) and a harmonic trap. The dynamics is analyzed after a sudden switch-on or switch-off of the superlattice potential, which can bring the system into insulating or superfluid phases, respectively. A collapse and revival of the zero-momentum peak can be seen in the first case. We study in detail the relaxation of these integrable systems towards equilibrium. We show how after relaxation time averages of physical observables, like the momentum distribution function, can be predicted by means of a generalization of the Gibbs distribution.

14 pages, 17 figures, published version

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• Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
• Free expansion of impenetrable bosons on one-dimensional optical lattices
• Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
• Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
• Are the Tonks regimes in the continuum and on the lattice truly equivalent?
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices
• Off-diagonal correlations of lattice impenetrable bosons in one dimension
• Hanbury Brown-Twiss Interferometry for Fractional and Integer Mott Phases

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