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 th...

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Bibliographic Details
Published in:Physical review letters 2002-07, Vol.89 (3), p.030403-030403, Article 030403
Main Authors: Sinova, Jairo, Hanna, C B, MacDonald, A H
Format: Article
Language:English
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.89.030403