English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The three-disk scatterer has served as a paradigm for semiclassical periodicorbit quantization of classical chaotic systems using Gutzwiller's traceformula. It represents an open quantum system, thus leading to spectra ofcomplex eigenenergies. An interesting general feature of open quantum systemsdescribed by non-Hermitian operators is the possible existence of exceptionalpoints where not only the complex eigenvalues but also their respectiveeigenvectors coincide. Using Gutzwiller's periodic orbit theory we show thatexceptional points exist in a three-disk scatterer if the system's geometry ismodified by extending the system from circular to elliptical disks. Theextension is implemented in such a way that the system's characteristic$C_{3\mathrm{v}}$ symmetry is preserved. The two-dimensional parameter plane ofthe system is then spanned by the distance between and the excentricity of theelliptical disks. As typical signatures of exceptional points we observe thepermutation of two resonances when an exceptional point is encircled inparameter space, and a non-Lorentzian resonance line shape in the weighteddensity of states.

Exceptional points in the elliptical three-disk scatterer using semiclassical periodic orbit quantization