Rotating spin-1 bosons in the lowest Landau level

Journal Article · Sun Feb 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.023612· OSTI ID:20640767

Reijnders, J W; Lankvelt, F J.M. van; Schoutens, K; Read, N ^[1]

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1. Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam (Netherlands)

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 (disk), 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{<=}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 ultrahigh rotation.

• OSTI ID: 20640767
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BASIC INTERACTIONS
BOSONS
GEOMETRY
GROUND STATES
HALL EFFECT
LIQUIDS
MEAN-FIELD THEORY
OPTICS
PHASE DIAGRAMS
QUANTUM MECHANICS
RADIATION PRESSURE
ROTATION
ROTATIONAL STATES
SKYRME POTENTIAL
SOLITONS
SPIN
TRAPS
VORTICES