We investigate single photon scattering properties in one-dimensional
waveguide coupled to quantum emitter's chain with dipole-dipole interaction
(DDI). The photon transport is extremely sensitive to the location of the
evanescently coupled emitters. The analytical expressions of reflection and
transmission amplitudes for the chain containing two emitters with DDI are
deduced by using real-space Hamiltonian. Two cases, where the two emitters
symmetrically and asymmetrically couple to the waveguide, are discussed in
detail. It shows that the reflection and transmission typical spectra split
into two peaks due to the DDI. The Fano minimum in the spectra can also be used
to estimate the strength of the DDI. Furthermore, the DDI makes spectra
strongly asymmetric and create a transmission window in the region where there
was zero transmission. The scattering spectra for the chain consisting of
multi-emitters are also given. Our key finding is that DDI can broaden the
frequency band width for high reflection when the chain consists of many
emitters
The quantum interference between two spontaneous emission transitions, which are orthogonal, in a three-level system, can be greatly enhanced by using left-handed materials due to the focusing and phase compensation effects. The influence of the dispersion and dissipation of the materials on the quantum interference enhancement is investigated, and the enhancement of quantum interference is still significant. The quantum interference enhancement will result in a large quenching of the spontaneous emission, even if the distance between the materials and systems is larger than 10 wavelengths.
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