Ioannis Brouzos, Fotios K. Diakonos, Peter Schmelcher
We propose analytical trial wave-functions to describe the crossover of a one-dimensional bosonic system from weak to strong interactions for harmonic traps and finite lattice potentials in the configuration space. Although these systems are very common in experimental setups, an analytical description is lacking. The parameter-free trial functions we develop here for this purpose provide results for this crossover in good agreement with diffusion quantum Monte Carlo calculations. For the construction of our Ansatz, we extend the correlated pair wave function we introduced in [1] for few bosons in harmonic traps and study in particular the case of a larger number of particles. We investigate finite lattices such as double and triple wells, changing correspondingly the uncorrelated part of the Ansatz to describe efficiently the single particle behaviour. On-site effects beyond mean-field and standard Bose-Hubbard calculations that appear in several observables and are captured from our trial function are explored.
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http://arxiv.org/abs/1210.7769
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