Floquet solutions in a parity-time-symmetric Rabi model

Abstract

It is shown that a semiclassical Rabi model with parity-time () symmetry possesses quasiexact solutions, which can be found using the Lie-algebraic approach. These solutions are located precisely at the exceptional points of the spectrum, the boundaries of the -symmetric phase. The corresponding constraints on the model parameters can be interpreted as a resonance relationship between the constant and periodic driving terms. For sufficiently large resonance ratio and judiciously chosen parameters, we find that the time evolution of the complete qubit can be described exactly.