Exceptional points in bichromatic Wannier-Stark systems
C Elsen, K Rapedius, D Witthaut, H J Korsch
TL;DR
This paper investigates the resonance spectrum of bichromatic Wannier-Stark systems, identifying exceptional points and analyzing their properties, including Berry phases and effects of nonlinearity, using an efficient resonance computation method.
Contribution
It introduces an efficient method to locate exceptional points in the spectrum of bichromatic Wannier-Stark systems and analyzes their properties and the impact of nonlinearity.
Findings
Exceptional points can be localized in parameter space.
Berry phases and Petermann factors are analyzed.
Nonlinearity influences resonance crossing scenarios.
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.
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