Landau-Zener transitions through a pair of higher order exceptional points
File(s)LZ_paper_accepted_version.pdf (912.06 KB)
Accepted version
Author(s)
Graefe, E-M
Malzard, S
Melanathuru, VR
Type
Journal Article
Abstract
Non-Hermitian quantum systems with explicit time dependence are of ever-increasing importance. There are only a handful of models that have been analytically studied in this context. Here, a PT-symmetric non-Hermitian N-level Landau-Zener type problem with two exceptional points of N-th order is introduced. The system is Hermitian for asymptotically large times, far away from the exceptional points, and has purely imaginary eigenvalues between the exceptional points. The full Landau-Zener transition probabilities are derived, and found to show a characteristic binomial behaviour. In the adiabatic limit the final populations are given by the ratios of binomial coefficients. It is demonstrated how this behaviour can be understood on the basis of adiabatic analysis, despite the breakdown of adiabaticity that is often associated with non-Hermitian systems.
Date Issued
2022-07-14
Date Acceptance
2022-06-21
ISSN
1050-2947
Publisher
American Physical Society
Start Page
1
End Page
11
Journal / Book Title
Physical Review A: Atomic, Molecular and Optical Physics
Volume
106
Copyright Statement
© Published by the American Physical Society
Sponsor
Commission of the European Communities
The Royal Society
Identifier
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.012208
Grant Number
758453
URF/R/201034
Subjects
Science & Technology
Physical Sciences
Optics
Physics, Atomic, Molecular & Chemical
Physics
quant-ph
quant-ph
Publication Status
Published
Date Publish Online
2022-07-14