Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
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.
Sinova, Jairo; Hanna, Charles B.; and MacDonald, A. H.. (2002). "Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter". Physical Review Letters, 89(3), 030403-1 - 030403-4.