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Optics Letters

Correspondence between entanglement and Fano resonance of surface plasmons

Guang-Yin Chen, Yueh-Nan Chen

Published Sep 19, 2012• 23 citations
Publisher

Abstract

We investigate the Fano resonance of the scattering spectra in a system consisting of a metal nanowire coupled to two colloidal quantum dots. By varying the coupling strengths and the energy spacings of the quantum dot qubits, we find that both the line shapes and the presence of the Fano resonance can be controlled. Furthermore, the degree of two-qubit entanglement can vary from unity to zero when the Fano resonance occurs. This indicates that there exists correlations between the two-qubit entanglement and the Fano resonance.

DOI
10.1364/ol.37.004023

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We investigate coherent single surface-plasmon transport in a metal nanowire strongly coupled to two colloidal quantum dots. Analytical expressions are obtained for the transmission and reflection coefficients by solving the corresponding eigenvalue equation. Remote entanglement of the wave functions of the two quantum dots can be created if the interdot distance is equal to a multiple half-wavelength of the surface plasmon. Furthermore, by applying classical laser pulses to the quantum dots, the entangled states can be stored in metastable states that are decoupled from the surface plasmons.
We investigate coherent single-microwave-photon transport in the coupled superconducting transmission lines coupled to superconducting quantum interference device based charge qubits. The Fano resonance can be observed in the scattering spectra in both the linear and nonlinear regimes of the dispersion relation of the microwave photon. We further find that the degree of the two-qubit entanglement can vary from unity to zero when the Fano resonance occurs. There exists a correspondence between the entanglement and the Fano resonance.
We study theoretically the entanglement created in a scattering between an electron, incoming from a source lead, and another electron bound in the ground state of a quantum dot, connected to two leads. We analyze the role played by the different kinds of resonances in the transmission spectra and by the number of scattering channels, into the amount of quantum correlations between the two identical carriers. It is shown that the entanglement between their energy states is not sensitive to the presence of Breit-Wigner resonances, while it presents a peculiar behavior in correspondence to Fano peaks: two close maxima separated by a minimum for a two-channel scattering and a single maximum for a multichannel scattering. Such a behavior is ascribed to the different mechanisms characterizing the two types of resonances. Our results suggest that the production and detection of entanglement in quantum dot structures may be controlled by the manipulation of Fano resonances through external fields.
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