Quantum magnetism and counterflow supersolidity of up-down bosonic dipoles
C. Trefzger, M. Alloing, C. Menotti, F. Dubin, and M. Lewenstein

TL;DR
This paper investigates a 2D dipolar bosonic system in an optical lattice, revealing magnetic orderings and a novel counterflow supersolid phase driven by dipole orientations.
Contribution
It introduces the concept of counterflow supersolidity in dipolar bosons with freely orientable dipoles, expanding understanding of quantum phases in such systems.
Findings
Identification of ferromagnetic and antiferromagnetic insulating phases.
Evidence for a counterflow supersolid quantum phase.
Observation of rational magnetization states.
Abstract
We study a gas of dipolar Bosons confined in a two-dimensional optical lattice. Dipoles are considered to point freely in both up and down directions perpendicular to the lattice plane. This results in a nearest neighbor repulsive (attractive) interaction for aligned (anti-aligned) dipoles. We find regions of parameters where the ground state of the system exhibits insulating phases with ferromagnetic or anti-ferromagnetic ordering, as well as with rational values of the average magnetization. Evidence for the existence of a novel counterflow supersolid quantum phase is also presented.
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