Journal
PHYSICAL REVIEW B
Volume 80, Issue 17, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.80.174519
Keywords
boson systems; chemical potential; localised states; long-range order; optical lattices; phase diagrams; quantum optics; superfluidity
Funding
- NSF [DMR 0213706.]
- Engineering and Physical Sciences Research Council [EP/F032773/1] Funding Source: researchfish
- EPSRC [EP/F032773/1] Funding Source: UKRI
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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 intersite 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 in the on-site 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 on-site 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.
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