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

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.

5 pages, 2 figures

References in corpus (3)

• Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation
• Chiral state-conversion without encircling an exceptional point
• Floquet exceptional points and chirality in non-Hermitian Hamiltonians

Cited by in corpus (3)

• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• On Kirkwood--Dirac quasiprobabilities and unravelings of quantum channel assigned to a tight frame
• State conversions around exceptional points