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Testing quantum duality using cold Rydberg atoms

J. L. Noronha·C. Wotzasek
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Abstract

Classically, the dynamics of the chiral oscillator (CO) may be described by the Landau model (LM) through a well established mathematical procedure known as duality mapping. In this letter we show how this duality is broken in quantum mechanics due to the presence of a $Z_2$-anomaly in the CO. We give the theoretical basis for an experimental setup displaying the possibility to measure this global anomaly using cold Rydberg atoms.

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J. L. Noronha, C. Wotzasek. 2004-09-25. Testing quantum duality using cold Rydberg atoms. https://doi.org/10.1016/j.physletb.2004.09.053

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