학술논문

Topological Gauge Fields and the Composite Particle Duality
Document Type
Working Paper
Source
Subject
Condensed Matter - Quantum Gases
Condensed Matter - Mesoscale and Nanoscale Physics
Condensed Matter - Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Physics
Language
Abstract
We introduce topological gauge fields as nontrivial field configurations enforced by topological currents. These fields crucially determine the form of statistical gauge fields that couple to matter and transmute their statistics. We discuss the physical mechanism underlying the composite particle picture and argue that it is a duality of gauge forms that naturally relates to the notion of bosonisation in arbitrary dimensions. This is based on obtaining a generalised version of flux attachment, which yields a density-dependent gauge potential. We recover well-known results, resolve old controversies, and suggest a microscopic mechanism for the emergence of such a gauge field. We also outline potential directions for experimental realisations in ultracold atom platforms.
Comment: 6 pages, 1 table. Comments are encouraged