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arXiv · 1710.08009

Floquet Protocols of Adiabatic State-Flips and Re-Allocation of Exceptional Points

Dashiell Halpern·Huanan Li·Tsampikos Kottos
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Abstract

We introduce the notion of adiabatic state-flip of a Floquet Hamiltonian associated with a non-Hermitian system that it is subjected to two driving schemes with clear separation of time scales. The fast (Floquet) modulation scheme is utilized to re-allocate the exceptional points in the parameter space of the system and re-define the topological features of an adiabatic cyclic modulation associated with the slow driving scheme. Such topological re-organization can be used in order to control the adiabatic transport between two eigenmodes of the Floquet Hamiltonian. The proposed scheme provides a degree of reconfigurability of adiabatic state transfer which can find applications in system control in photonics and microwave domains.

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Dashiell Halpern, Huanan Li, Tsampikos Kottos. 2017-10-22. Floquet Protocols of Adiabatic State-Flips and Re-Allocation of Exceptional Points. https://doi.org/10.1103/physreva.97.042119

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