Disorder effects in tunable waveguide arrays with parity-symmetric tunneling

摘要

We investigate the effects of disorder on single-particle time evolution and two-particle correlations in annarray of evanescently coupled waveguides with position-dependent tunneling rates. In the clean limit, the energynspectrum of such an array is widely tunable. In the presence of a Hermitian on-site or tunneling disorder, wenfind that the localization of a wave packet is highly sensitive to this energy spectrum. In particular, for anninput confined to a single waveguide, we show that the fraction of light localized to the original waveguidendepends on the tunneling profile.We compare the two-particle intensity correlations in the presence of Hermitianntunneling disorder and non-Hermitian, parity- and time-reversal (PT ) symmetric, on-site potential disorder. Wenshow the two-particle correlation function in both cases is qualitatively similar since both disorders preserve thenparticle-hole symmetric nature of the energy spectrum.