Scattering properties of anti-parity-time symmetric non-Hermitian system
Abstract
We investigate the scattering properties of an anti-parity-symmetric non-Hermitian system. The anti-parity-symmetric scattering center possesses imaginary nearest-neighbor hoppings and real onsite potentials, it has been experimentally realized through dissipative coupling and frequency detuning between atomic spin waves. We find that such anti-parity-symmetric system displays three salient features: Firstly, the reflection and transmission are both reciprocal. Secondly, the reflection and transmission probabilities satisfy R+T=1 or R-T=1, which depends on the parity of the scattering center size. Thirdly, the scattering matrix satisfies (S_z)(S_z)*=I for scattering center with even-site; for scattering center with odd-site, the dynamics exhibits Hermitian scattering behavior, possessing unitary scattering matrix SS{\dag}=I.
Keywords
Cite
@article{arxiv.1809.10366,
title = {Scattering properties of anti-parity-time symmetric non-Hermitian system},
author = {L. Jin},
journal= {arXiv preprint arXiv:1809.10366},
year = {2018}
}
Comments
6 pages, 3 figures