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
J
Department of Physics, University of Texas, Austin, Texas 78712-1081, USA.
Hanna
C B
CB
MacDonald
A H
AH