Quantized vortices in two-dimensional superfluids and generalized Hamiltonian dynamics
Phys. Rev. Lett. 68, 1746 – Published 16 March, 1992
DOI: https://doi.org/10.1103/PhysRevLett.68.1746
Abstract
Using the functional integral for many-boson systems, we propose a new formulation of quantum vortices in two-dimensional superfluids. The motion of vortices is described by a generalized Hamiltonian dynamics in which the equation of motion is governed by a deformed canonical structure. The quantum correspondence of this unusual feature is realized by the anomalous commutators for vortex coordinates. In terms of a semiclassical language, this anomaly yields a consequence that vortex quanta behave like ‘‘anyons.’’