Floquet exceptional points and chirality in non-Hermitian Hamiltonians

Abstract

Floquet exceptional points correspond to the coalescence of two (or more) quasi-energies and corresponding Floquet eigenstates of a time-periodic non-Hermitian Hamiltonian. They generally arise when the oscillation frequency satisfies a multiphoton resonance condition. Here we discuss the interplay between Floquet exceptional points and the chiral dynamics observed, over several oscillation cycles, in a wide class of non-Hermitian systems when they are slowly cycled in opposite directions of parameter space.

20 pages, 5 figures, submitted to J Phys A

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Cited by in corpus (4)

• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Complex Berry phase and imperfect non-Hermitian phase transitions