Project Title

Floquet topological phases in parity-time symmetric lattices

Department

Physics and Astronomy

Abstract

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 the topologically protected Floquet modes in a non-Hermitian system, which have many of the same properties as Majorana modes in a time-independent system, as well as demonstrate another method of obtaining Floquet analogs of topological insulator phases. 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.

Presentation format

Poster

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Floquet topological phases in parity-time symmetric lattices

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 the topologically protected Floquet modes in a non-Hermitian system, which have many of the same properties as Majorana modes in a time-independent system, as well as demonstrate another method of obtaining Floquet analogs of topological insulator phases. 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.