Phase Control of Nonadiabaticity-Induced Quantum Chaos in an Optical Lattice

The qualitative nature (i.e., integrable vs chaotic) of the translational dynamics of a three-level atom in an optical lattice is shown to be controllable by varying the relative laser phase of two standing-wave lasers. Control is explained in terms of the nonadiabatic transition between optical potentials and the corresponding regular-to-chaotic transition in mixed classical-quantum dynamics. The results are of interest to both areas of coherent control and quantum chaos.