General description of quasiadiabatic dynamical phenomena near exceptional points
By T. J. Milburn, J. Doppler, C. Holmes, S. Portolan, S. Rotter, Peter Rabl. 2014
167 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/18923253a1b1eaa924204a5f2f25e050eaa2682b
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Dynamically Encircling Exceptional Points: In situ Control of Encircling Loops and the Role of the Starting Point (2018, background): “abatic theorem in non-Hermitian systems in the presence of gain and loss [30,31]. The chiral nature of the dynamics has also been theoretically investigated from the viewpoint of stability loss delay [32] and the Stokes phenomenon of asymptotics [33], and a full analytical model has been proposed fo”