title: Quantum melting and absence of Bose-Einstein condensation in two-dimensional vortex matter.
abstract: We demonstrate that quantum fluctuations suppress Bose-Einstein condensation of quasi-two-dimensional bosons in a rapidly rotating trap. Our conclusions rest in part on the derivation of an exact expression for the boson action in terms of vortex position coordinates, and in part on a solution of the weakly interacting boson Bogoliubov equations, which simplify in the rapid-rotation limit. We obtain analytic expressions for the collective-excitation dispersion, which is quadratic rather than linear. Our estimates for the boson filling factor at which the vortex lattice melts are consistent with recent exact-diagonalization calculations.
authors.affiliation: Department of Physics, University of Texas, Austin, Texas 78712-1081, USA.
authors.forename: Jairo
authors.initials: J
authors.lastname: Sinova
authors.forename: C B
authors.initials: CB
authors.lastname: Hanna
authors.forename: A H
authors.initials: AH
authors.lastname: MacDonald