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Journal Article

Exceptional points in bichromatic Wannier-Stark systems

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Witthaut,  Dirk
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Elsen, C., Rapedius, K., Witthaut, D., & Korsch, H. J. (2011). Exceptional points in bichromatic Wannier-Stark systems. Journal of Physics B: Atomic, Molecular and Optical Physics, 44(22): 225301. doi:10.1088/0953-4075/44/22/225301.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-1157-0
Abstract
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 analysed. Finally, the influence of a nonlinearity of the Gross–Pitaevskii type on the resonance crossing scenario is briefly discussed.