Quantum vortices in systems obeying a generalized exclusion principle

TL;DR

This paper explores how a generalized exclusion principle in a quantum system leads to the formation of vortices, providing explicit vortex solutions and analyzing their physical characteristics.

Contribution

It introduces a simple, transparent mechanism linking a generalized exclusion principle to vortex formation in quantum systems, with explicit vortex solutions derived.

Findings

Quantum vortices can form under a generalized exclusion principle

Explicit vortex shapes are obtained in closed form

Physical properties of vortices are analyzed

Abstract

The paper deals with a planar particle system obeying a generalized exclusion principle (EP) and governed, in the mean field approximation, by a nonlinear Schroedinger equation. We show that the EP involves a mathematically simple and physically transparent mechanism, which allows the genesis of quantum vortices in the system. We obtain in a closed form the shape of the vortices and investigate its main physical properties. PACS numbers: 03.65.-w, 03.65.Ge, 05.45.Yv