2021
DOI: 10.48550/arxiv.2103.15915
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Non-hermitian time evolution: from static to parametric instability

Aleksi Bossart,
Romain Fleury

Abstract: Eigenmode coalescence imparts remarkable properties to non-hermitian time evolution, culminating in a purely non-hermitian spectral degeneracy known as an exceptional point (EP). Here, we revisit time evolution at the EP and classify two-level non-hermitian Hamiltonians in terms of the Möbius group. We then leverage that classification to study dynamical EP encircling, by applying it to periodically-modulated (Floquet) Hamiltonians. This reveals that Floquet non-hermitian systems exhibit rich physics whose com… Show more

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