Bosonic hard spheres in quasi-one dimensional bichromatic optical lattices

TL;DR

This paper investigates the phase diagram of hard spheres in a quasi-one dimensional bichromatic optical lattice, revealing significant differences from Bose-Hubbard model predictions and providing insights relevant to experimental setups.

Contribution

It presents a continuous system analysis of hard spheres in bichromatic lattices, contrasting with prior Bose-Hubbard model approaches, and offers detailed phase diagrams for specific densities.

Findings

Significant differences in phase diagrams compared to Bose-Hubbard models.

Direct relevance to experimental systems with incommensurate lattices.

Analysis at densities of one and half particles per well.

Abstract

We calculated the phase diagram of a continuous system of hard spheres loaded in a quasi-one dimensional bichromatic optical lattice. The wavelengths of both lattice-defining lasers were chosen to model an incommensurate arrangement. Densities of one particle and half a particle per potential well were considered. Our results can be compared directly to those of the experimental system [Fallani et al. PRL, {\bf 98} 130404 (2007)] from which our initial parameters were taken. The phase diagrams for both densities are significatively different to those obtained by describing the same experimental setup with a Bose-Hubbard model.