Physics and Astronomy
We calculate the Floquet quasienergy spectra of several parity-time (PT) symmetric one-dimensional lattices with non-Hermitian, time-dependent Hamiltonians. The PT symmetry of these systems guarantees that their quasienergy spectra will be entirely real, or that energies will come in complex-conjugate pairs. We obtain Floquet Majorana modes in a non-Hermitian system. We investigate several systems which have neither PT symmetry nor Hermitian Hamiltonians but, remarkably, possess fully real quasienergy spectra. Finally, we explore a range of PT-symmetric, periodically driven systems to provide a fuller characterization of this little-understood class of systems.