Twonniers: Interaction-induced effects on Bose-Hubbard parameters

Abstract

We study the effects of the repulsive on-site interactions on the broadening of the localized Wannier functions used for calculating the parameters to describe ultracold atoms in optical lattices. For this, we replace the common single-particle Wannier functions, which do not contain any information about the interactions, by two-particle Wannier functions ("Twonniers") obtained from an exact solution which takes the interactions into account. We then use these interaction-dependent basis functions to calculate the Bose--Hubbard model parameters, showing that they are substantially different both at low and high lattice depths, from the ones calculated using single-particle Wannier functions. Our results suggest that density effects are not negligible for many parameter ranges and need to be taken into account in metrology experiments.

arXiv comment6 pages, 3 figures

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• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
• Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment
• Staggered Ground States in an Optical Lattice
• Many-body tunneling in a double-well potential
• Entanglement in spatial adiabatic processes for interacting atoms