Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-05-12
J. Phys. B: At. Mol. Opt. Phys. 39 (2006) S89-S99
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 9 figures. Conference proceeding. BEC 2005 Italy
Scientific paper
10.1088/0953-4075/39/10/S09
Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for electrons, can be applied to interacting bosons. Numerical evidence supporting the formation of composite fermions, each being the bound state of a boson and one flux quantum, is shown for filling fractions of the type nu=p/(p+1), both by spectral analysis and by direct comparison with trial wave functions. The rapidly rotating system of two-dimensional bosons thus constitutes an interesting example of "statistical transmutation," with bosons behaving like composite fermions. We also describe the difference between the electronic and the bosonic cases when p approaches infinity. Residual interactions between composite fermions are attractive in this limit, resulting in a paired composite-fermion state described by the Moore-Read wave function.
Chang Chulhoon
Jain Jainendra K.
Jolicoeur Th
Regnault Nicolas
No associations
LandOfFree
Composite fermion theory of rapidly rotating two-dimensional bosons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Composite fermion theory of rapidly rotating two-dimensional bosons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Composite fermion theory of rapidly rotating two-dimensional bosons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-596361