The Quantum Origins of Non-Topological Vortices

TL;DR

This paper explores the quantum origins of non-topological vortices in non-relativistic anyon theories, linking classical vortex solutions to many-body quantum states and analyzing spectral features.

Contribution

It provides a novel explanation of how Jackiw-Pi vortices emerge from quantum many-body states, connecting classical and quantum descriptions in 2+1 dimensions.

Findings

Jackiw-Pi vortices correspond to classical limits of quantum many-body states

Universal spectral features of anyons under various tuning conditions

Insights into the relationship between non-relativistic field theory and quantum mechanics

Abstract

We review some unusual facts about the theory of non-relativistic anyons in 2+1 dimensions, and use it as a laboratory to explore how interesting features of non-relativistic field theory correspond to those of many-body quantum mechanics. In particular, we offer an explanation of how Jackiw-Pi vortices arise as the classical limit of certain many-body states in the quantum mechanical theory. Along the way, we make various interesting observations about universal features of the spectrum of anyons subject to different amounts of tuning.