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/

Global: Zendy Plus annual

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

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Non-Hermitian quantum systems with explicit time dependence are ofever-increasing importance. There are only a handful of models that have beenanalytically studied in this context. Here, a PT-symmetric non-Hermitian$N$-level Landau-Zener type problem with two exceptional points of $N$th orderis introduced. The system is Hermitian for asymptotically large times, far awayfrom the exceptional points, and has purely imaginary eigenvalues between theexceptional points. The full Landau-Zener transition probabilities are derived,and found to show a characteristic binomial behaviour. In the adiabatic limitthe final populations are given by the ratios of binomial coefficients. It isdemonstrated how this behaviour can be understood on the basis of adiabaticanalysis, despite the breakdown of adiabaticity that is often associated withnon-Hermitian systems.

Landau-Zener transitions through a pair of higher order exceptional points