# Geometric phases without geometry

@article{Vutha2009GeometricPW, title={Geometric phases without geometry}, author={Amar C. Vutha and David DeMille}, journal={arXiv: Quantum Physics}, year={2009} }

Geometric phases arise in a number of physical situations and often lead to systematic shifts in frequencies or phases measured in precision experiments. We describe, by working through some simple examples, a method to calculate geometric phases that relies only on standard quantum mechanical calculations of energy level shifts. This connection between geometric phases and off-resonant energy shifts simplifies calculation of the effect in certain situations. More generally, it also provides a…

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