Exceptional points in bichromatic Wannier-Stark systems

Details Exceptional points in bichromatic Wannier-Stark systems Exceptional points in bichromatic Wannier-Stark systems

2011-09-05

arxiv.org/abs/1109.0808v1

J. Phys. B: At. Mol. Opt. Phys. 44 (2011) 225301

Physics

Quantum Physics

19 pages, 14 figures

Scientific paper

10.1088/0953-4075/44/22/225301

The resonance spectrum of a tilted periodic quantum system for a bichromatic periodic potential is investigated. For such a bichromatic Wannier-Stark system exceptional points, degeneracies of the spectrum, can be localized in parameter space by means of an efficient method for computing resonances. Berry phases and Petermann factors are analyzed. Finally the influence of a nonlinearity of the Gross-Pitaevskii type on the resonance crossing scenario is briefly discussed.

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