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arXiv · 1805.08248

Measurement and Significance of Wilson Loops in Synthetic Gauges Fields

Kunal K. Das
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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.

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Kunal K. Das. 2018-05-21. Measurement and Significance of Wilson Loops in Synthetic Gauges Fields. https://doi.org/10.1103/physreva.97.053620

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