Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice

Abstract

The expansion dynamics of bosonic gases in optical lattices has recently been the focus of increasing attention, both experimental and theoretical. We consider, by means of numerical Bethe ansatz, the expansion dynamics of initially confined wave packets of two interacting bosons on a lattice. We show that a correspondence between the asymptotic expansion velocities and the projection of the evolved wave function over the bound states of the system exists, clarifying the existing picture for such situations. Moreover, we investigate the role of the lattice in this kind of evolution.

12 pages, 10 figures

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Cited by in corpus (7)

• Bound-state signatures in quenched Bose-Einstein condensates
• Noisy quantum walks of two indistinguishable interacting particles
• Two bosonic quantum walkers in one-dimensional optical lattices
• Filling-dependent doublon dynamics in the one-dimensional Hubbard model
• Propagation of a single hole defect in the one-dimensional Bose-Hubbard model
• Efficiency of fermionic quantum distillation
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains