Non-Hermitian model for resonant cavities coupled by a chiral mirror
Departamento de Física, Centro Universitário da FEI - Avenida Humberto de A. C. Branco 3972, 09850-901 São Bernardo do Campo, SP, Brazil
Received: 5 September 2012
Accepted: 9 October 2012
Inspired by a recently observed asymmetry in the transmission of circularly polarized light through a metamaterial, we present a non-Hermitian -symmetric quantum model to describe the interaction of the light fields in two resonant cavities coupled via a 2D-chiral mirror. We compute the time evolution of the light fields in this model, find two sets of operators compatible with the Hamiltonian in a delocalized representation, discover the energies of the system and show that the transmission probability predicted by the model is indeed asymmetric.
PACS: 42.50.Pq – Cavity quantum electrodynamics; micromasers / 11.30.Er – Charge conjugation, parity, time reversal, and other discrete symmetries / 81.05.Xj – Metamaterials for chiral, bianisotropic and other complex media
© EPLA, 2012