Abstract
We theoretically study the cyclotron dynamics of ultra-cold atoms in optical lattices exposed to an artificial magnetic field. The cyclotron orbit and its stability are discussed both analytically and numerically. We find that the cyclotron dynamics of atoms in optical lattices can be manipulated by adjusting the strength of the magnetic field. Atoms can be coherently localized in its initial position, or can be trapped in a priori prescribed orbit doing coherent cyclotron motion, or can be decoherently diffused with time. The stability of the orbit and the coherence of the system present asymmetric characters. Our results provide a direct theoretical evidence for the cyclotron dynamics of neutral atoms in the artificial magnetic field.
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