Abstract
The coherent transport of surface plasmons with nonlinear dispersion relations on a metal nanowire coupled to two-level emitters is investigated theoretically. Real-space Hamiltonians are used to obtain the transmission and reflection spectra of the surface plasmons. For the single-dot case, we find that the scattering spectra can show completely different features due to the non-linear quadratic dispersion relation. For the double-dot case, we obtain the interference behavior in transmission and reflection spectra, similar to that in resonant tunneling through a double-barrier potential. Moreover, Fano-like line shape of the transmission spectrum is obtained due to the quadratic dispersion relation. All these peculiar behaviors indicate that the dot-nanowire system provides a onedimensional platform to demonstrate the bandgap feature widely observed in photonic crystals.
Highlights
IntroductionIn the realization of quantum network [1], coherent single-photon transport is of central issue, in which the photons conveying information (signal field) are controlled by other photons (gate field)
In the realization of quantum network [1], coherent single-photon transport is of central issue, in which the photons conveying information are controlled by other photons
Based on the findings that the dispersion relations of metal nanowire surface plasmon (SP) are parabola-like for higher excitation modes [17, 18], we investigate the transmission and reflection properties of SPs by approximating the dispersion relations with a quadratic form
Summary
In the realization of quantum network [1], coherent single-photon transport is of central issue, in which the photons conveying information (signal field) are controlled by other photons (gate field). With the development of technologies, a coupled system comprising of a single metal nanowire with a quantum dot (QD) has been fabricated successfully [14, 15]. This leads to the possibilities of investigating cavity quantum electrodynamics [16,17,18,19] and coherent single surface plasmon (SP) transport [20,21,22] within such a device. The transmission (or reflection) spectrum for the single-dot case is found to have double peaks due to the quadratic form of the dispersion relation. The transmission spectrum can reveal a Fano-like line shape because of the non-linear dispersion relation
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