General description of quasiadiabatic dynamical phenomena near exceptional points

Milburn, Thomas J., Doppler, Jörg, Holmes, Catherine A., Portolan, Stefano, Rotter, Stefan and Rabl, Peter (2015) General description of quasiadiabatic dynamical phenomena near exceptional points. Physical Review A, 92 5: . doi:10.1103/PhysRevA.92.052124

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Author Milburn, Thomas J.
Doppler, Jörg
Holmes, Catherine A.
Portolan, Stefano
Rotter, Stefan
Rabl, Peter
Title General description of quasiadiabatic dynamical phenomena near exceptional points
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2015-11-30
Sub-type Article (original research)
DOI 10.1103/PhysRevA.92.052124
Open Access Status File (Publisher version)
Volume 92
Issue 5
Total pages 12
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract The appearance of so-called exceptional points in the complex spectra of non-Hermitian systems is often associated with phenomena that contradict our physical intuition. One example of particular interest is the state-exchange process predicted for an adiabatic encircling of an exceptional point. In this work we analyze this and related processes for the generic system of two coupled oscillator modes with loss or gain. We identify a characteristic system evolution consisting of periods of quasistationarity interrupted by abrupt nonadiabatic transitions and we present a qualitative and quantitative description of this switching behavior by connecting the problem to the phenomenon of stability loss delay. This approach makes accurate predictions for the breakdown of the adiabatic theorem as well as the occurrence of chiral behavior observed previously in this context and provides a general framework to model and understand quasiadiabatic dynamical effects in non-Hermitian systems.
Keyword Stability loss
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ
Additional Notes Article # 052124

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
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Citation counts: TR Web of Science Citation Count  Cited 24 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 22 times in Scopus Article | Citations
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