Journal
PHYSICAL REVIEW A
Volume 92, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.92.052124
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Funding
- European FP7/ITC Project SIQS [600645]
- Project OPSOQI of the WWTF [316607]
- Austrian Science Fund (FWF) [SFB FOQUS F40, SFB NextLite F49-10]
- Project GePartWave [I 1142-N27]
- START Grant [Y 591-N16]
- CoQuS doctoral programme [DK CoQuS W 1210]
- Austrian Science Fund (FWF) [W1210] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [I 1142] Funding Source: researchfish
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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.
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