Non-Hermitian Floquet-free analytically solvable time-dependent systems [Invited]

The non-Hermitian models, which are symmetric under parity ( P ) and time-reversal T operators, the cornerstone for fabrication of new ultra-sensitive optoelectronic devices. However, providing gain in such systems usually demands precise control nonlinear processes, limiting their application. In this paper, to bypass obstacle, we introduce a class time-dependent Hamiltonians (not necessarily Floquet) that can describe two-level system with temporally modulated on-site potential couplings. We show implementing an appropriate non-Unitary gauge transformation converts original effective one balanced loss. This will allow us derive evolution states analytically. Our proposed be employed different platforms as electronic circuits, acoustics, photonics design structures hidden PT -symmetry potentially without imaginary onsite amplification absorption mechanism obtain exceptional point.