Measurement and Significance of Wilson Loops in Synthetic Gauges Fields
arXiv:1805.08248 · doi:10.1103/PhysRevA.97.053620
Abstract
We study Wilson loops as a necessary tool for unambiguous identification of non-Abelian synthetic gauge fields, with attention to certain crucial but often overlooked features, such as the requirement of at least three distinct loops. We devise a method to determine the complete Wilson loop matrix from the time evolved amplitudes of the internal atomic states of laser-coupled ultracold atoms that does not require lattice confinement. The analysis is done in the context of a new cyclic model that can realize both Abelian and non-Abelian structures within a single configuration with continuous variation possible between U(1) and U(2) gauge groups by varying the detuning of the laser fields.
7 pages; 5 figures
References in corpus (7)
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- Observing Zitterbewegung in Ultracold Atoms
- Bloch state tomography using Wilson lines
- Non-equilibrium spin dynamics in a trapped Fermi gas with effective spin-orbit interaction
- Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
- Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
- Double and negative reflection of cold atoms in non-Abelian gauge potentials