Rotating spin-1 bosons in the lowest Landau level

Details Rotating spin-1 bosons in the lowest Landau level Rotating spin-1 bosons in the lowest Landau level

2003-06-16

arxiv.org/abs/cond-mat/0306402v2

Phys. Rev. A 69, 023612 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

24 pages, 14 figures, RevTeX

Scientific paper

10.1103/PhysRevA.69.023612

We present results for the ground states of a system of spin-1 bosons in a rotating trap. We focus on the dilute, weakly interacting regime, and restrict the bosons to the quantum states in the lowest Landau level (LLL) in the plane (disc), sphere or torus geometries. We map out parts of the zero temperature phase diagram, using both exact quantum ground states and LLL mean field configurations. For the case of a spin-independent interaction we present exact quantum ground states at angular momentum $L\leq N$. For general values of the interaction parameters, we present mean field studies of general ground states at slow rotation and of lattices of vortices and skyrmions at higher rotation rates. Finally, we discuss quantum Hall liquid states at ultra-high rotation.

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