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Phys. Rev. Lett. 87, 120405 (2001) [4 pages]

Quantum Phases of Vortices in Rotating Bose-Einstein Condensates

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N. R. Cooper1, N. K. Wilkin2, and J. M. F. Gunn2
1Theory of Condensed Matter Group, Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, United Kingdom
2School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom

Received 5 April 2001; published 30 August 2001

We investigate the ground states of weakly interacting bosons in a rotating trap as a function of the number of bosons, N, and the average number of vortices, NV. We identify the filling fraction νN/NV as the parameter controlling the nature of these states. We present results indicating that, as a function of ν, there is a zero temperature phase transition between a triangular vortex lattice phase, and strongly correlated vortex liquid phases. The vortex liquid phases appear to be the Read-Rezayi parafermion states.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.120405
DOI:
10.1103/PhysRevLett.87.120405
PACS:
03.75.Fi, 05.30.Jp, 73.43.-f, 73.43.Nq