Fischer Uwe R
Eberhard-Karls-Universität Tübingen, Institut für Theoretische Physik, Germany.
Phys Rev Lett. 2004 Oct 15;93(16):160403. doi: 10.1103/PhysRevLett.93.160403. Epub 2004 Oct 12.
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=-2pih2(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.
我们表明，对于处于分数量子霍尔态的旋转简谐捕获玻色气体，旋转气体中的任意子激发统计可以有效地发挥动力学作用。对于二维耦合常数(g = -2\pi\hbar^2(2k - 1)/m)的特定值（其中(k)是正整数），系统成为任意子的非相互作用气体，具有满足博戈莫尔尼自对偶序参量方程的精确可解情况。因此，由于其准粒子激发的任意子统计，快速旋转下的吸引玻色气体在热力学极限下可以稳定。
