Abstract
We show that for rotating harmonically trapped Bose gases in a fractional quantum Hall state, the anyonic excitation statistics in the rotating gas can effectively play a dynamical role. For particular values of the two-dimensional coupling constant g=-2{pi}({Dirac_h}/2{pi}){sup 2}(2k-1)/m, where k is a positive integer, the system becomes a noninteracting gas of anyons, with exactly obtainable solutions satisfying Bogomol'nyi self-dual order parameter equations. Attractive Bose gases under rapid rotation thus can be stabilized in the thermodynamic limit due to the anyonic statistics of their quasiparticle excitations.
Fischer, Uwe R
[1]
- Eberhard-Karls-Universitaet Tuebingen, Institut fuer Theoretische Physik, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)
Citation Formats
Fischer, Uwe R.
Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases.
United States: N. p.,
2004.
Web.
doi:10.1103/PhysRevLett.93.160403.
Fischer, Uwe R.
Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases.
United States.
https://doi.org/10.1103/PhysRevLett.93.160403
Fischer, Uwe R.
2004.
"Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases."
United States.
https://doi.org/10.1103/PhysRevLett.93.160403.
@misc{etde_20619219,
title = {Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases}
author = {Fischer, Uwe R}
abstractNote = {We show that for rotating harmonically trapped Bose gases in a fractional quantum Hall state, the anyonic excitation statistics in the rotating gas can effectively play a dynamical role. For particular values of the two-dimensional coupling constant g=-2{pi}({Dirac_h}/2{pi}){sup 2}(2k-1)/m, where k is a positive integer, the system becomes a noninteracting gas of anyons, with exactly obtainable solutions satisfying Bogomol'nyi self-dual order parameter equations. Attractive Bose gases under rapid rotation thus can be stabilized in the thermodynamic limit due to the anyonic statistics of their quasiparticle excitations.}
doi = {10.1103/PhysRevLett.93.160403}
journal = []
issue = {16}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Oct}
}
title = {Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases}
author = {Fischer, Uwe R}
abstractNote = {We show that for rotating harmonically trapped Bose gases in a fractional quantum Hall state, the anyonic excitation statistics in the rotating gas can effectively play a dynamical role. For particular values of the two-dimensional coupling constant g=-2{pi}({Dirac_h}/2{pi}){sup 2}(2k-1)/m, where k is a positive integer, the system becomes a noninteracting gas of anyons, with exactly obtainable solutions satisfying Bogomol'nyi self-dual order parameter equations. Attractive Bose gases under rapid rotation thus can be stabilized in the thermodynamic limit due to the anyonic statistics of their quasiparticle excitations.}
doi = {10.1103/PhysRevLett.93.160403}
journal = []
issue = {16}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Oct}
}