Exceptional points in bichromatic Wannier-Stark systems

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.

19 pages, 14 figures

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Cited by in corpus (7)

• Signatures of three coalescing eigenfunctions
• Non-Bloch band collapse and chiral Zener tunneling
• Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials
• Eigenvalue structure of a Bose-Einstein condensate in a PT-symmetric double well
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Interaction-induced decoherence in non-Hermitian quantum walks of ultracold Bosons
• Non-Hermitian Bloch-Zener phase transition