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Exceptional points in bichromatic Wannier-Stark systems

Quantum Physics 2011-10-27 v1

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 analyzed. Finally the influence of a nonlinearity of the Gross-Pitaevskii type on the resonance crossing scenario is briefly discussed.

Keywords

Cite

@article{arxiv.1109.0808,
  title  = {Exceptional points in bichromatic Wannier-Stark systems},
  author = {C Elsen and K Rapedius and D Witthaut and H J Korsch},
  journal= {arXiv preprint arXiv:1109.0808},
  year   = {2011}
}

Comments

19 pages, 14 figures

R2 v1 2026-06-21T18:59:39.895Z