A continuous model for bosonic hard spheres in quasi one-dimensional optical lattices

Abstract

By means of diffusion Monte Carlo calculations, we investigated the quantum phase transition between a superfluid and a Mott insulator for a system of hard-sphere bosons in a quasi one-dimensional optical lattice. For this continuous hamiltonian, we studied how the stability limits of the Mott phase changed with the optical lattice depth and the transverse confinement width. A comparison of these results to those of a one-dimensional homogeneous Bose-Hubbard model indicates that this last model describes accurately the phase diagram only in the limit of deep lattices. For shallow ones, our results are comparable to those of the sine-Gordon model in its limit of application. We provide an estimate of the critical parameters when none of those models are realistic descriptions of a quasi one-dimensional optical lattice.

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Cited by in corpus (6)

• Mott Transition for Strongly-Interacting 1D Bosons in a Shallow Periodic Potential
• One-dimensional Bose gas in optical lattices of arbitrary strength
• State diagram for continuous quasi-one dimensional systems in optical lattices
• Bosonic hard spheres in quasi-one dimensional bichromatic optical lattices
• Zero-temperature phase diagram of hard sphere bosons in asymmetric three dimensional optical lattices
• Quantum Monte Carlo study of strongly interacting bosonic one-dimensional systems in periodic potentials