Harter, Andrew K.Assogba Onanga, FranckJoglekar, Yogesh N.2017-10-062017-10-062016-09Harter, A. K., Onanga, F. A., & Joglekar, Y. N. (2016, September). PT symmetry breaking in the presence of random, periodic, long-range hopping. In SPIE Nanoscience+ Engineering (pp. 99201O-99201O). International Society for Optics and Photonics. http://dx.doi.org/10.1117/12.2239527https://hdl.handle.net/1805/14259Over the past five years, open systems with balanced gain and loss have been investigated for extraordinary properties that are not shared by their closed counterparts. Non-Hermitian, Parity-Time (PT ) symmetric Hamiltonians faithfully model such systems. Such a Hamiltonian typically consists of a reflection-symmetric, Hermitian, nearest-neighbor hopping profile and a PT-symmetric, non-Hermitian, gain and loss potential, and has a robust PT -symmetric phase. Here we investigate the robustness of this phase in the presence of long-range hopping disorder that is not PT-symmetric, but is periodic. We find that the PT-symmetric phase remains robust in the presence of such disorder, and characterize the configurations where that happens. Our results are found using a tight-binding model, and we validate our predictions through the beam-propagation method.enPublisher PolicyPT symmetrydisorderwaveguide arraysConference proceedings