Testing quantum duality using cold Rydberg atoms

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.

arXiv comment4 pages, new title, new arguments in the experimental setup, accepted for publication on Phys. Lett. B

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Cited by in corpus (2)

• Landau Quantization of Neutral Particles in an External Field
• Topologically Massive Gauge Theories and their Dual Factorised Gauge Invariant Formulation