Synthetic Gauge Fields for Ultra Cold Atoms: A Primer

Sankalpa Ghosh, Rashi Sachdeva


We start by reviewing the concept of gauge invariance in quantum mechanics, for abelian and non-abelian cases. Then we describe howthe various gauge potential and field can be associated with the geometrical phase acquired by a quantum mechanical wave function while adiabatically evolving in a parameter space. Subsequently we show how this concept is exploited to generate light induced gauge field for neutral ultracold bosonic atoms. As an example of such light induced Abelian andNon Abelian gauge field for ultra cold atoms we discuss ultra cold atomsin a rotating trap and creation of synthetic spin orbit coupling for ultra coldatomic systems using Raman lasers.

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