Devil's staircases and supersolids in a one-dimensional dipolar Bose gas

Abstract

We consider a single-component gas of dipolar bosons confined in a one-dimensional optical lattice, where the dipoles are aligned such that the long-ranged dipolar interactions are maximally repulsive. In the limit of zero inter-site hopping and sufficiently large on-site interaction, the phase diagram is a complete devil's staircase for filling fractions between 0 and 1, wherein every commensurate state at a rational filling is stable over a finite interval in chemical potential. We perturb away from this limit in two experimentally motivated directions involving the addition of hopping and a reduction of the onsite interaction. The addition of hopping alone yields a phase diagram, which we compute in perturbation theory in the hopping, where the commensurate Mott phases now compete with the superfluid. Further softening of the onsite interaction yields alternative commensurate states with double occupancies which can form a staircase of their own, as well as one-dimensional "supersolids" which simultaneously exhibit discrete broken symmetries and superfluidity.

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• A High Phase-Space-Density Gas of Polar Molecules
• Optical Production of Ultracold Polar Molecules
• Strong dipolar effects in a quantum ferrofluid
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model
• Superfluid to Mott-insulator transition of cold atoms in optical lattices

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