2020
DOI: 10.1103/physrevapplied.13.064010
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Transfer-Matrix Approach to Determining the Linear Response of All-Fiber Networks of Cavity-QED Systems

Abstract: A semiclassical model is presented for characterizing the linear response of elementary quantum optical systems involving cavities, optical fibers, and atoms. Formulating the transmission and reflection spectra using a scattering-wave (transfer matrix) approach, the calculations become easily scalable. To demonstrate how useful this method is, we consider the example of a simple quantum network, i.e., two cavity-QED systems connected via an optical fiber. Differences between our quasi-exact transfer matrix app… Show more

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Cited by 15 publications
(7 citation statements)
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References 42 publications
(72 reference statements)
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“…Figure 3(b) shows the analytical fitting and numerical calculations for the nonlinear phase shift at the fundamental frequency ω 0 as a function of the laser intensity parameter F 0 /κ, for different values of U/γ. In agreement with previous works [75,76], in the weak driving limit (F 0 /κ ≪ 1) we obtain the linear response regime, i.e. ∆Φ(ω 0 ) ≈ 0 from equation (15), which is also demonstrated numerically in figure 3(b).…”
Section: Nonlinear Phase Shift In the Frequency Domainsupporting
confidence: 92%
“…Figure 3(b) shows the analytical fitting and numerical calculations for the nonlinear phase shift at the fundamental frequency ω 0 as a function of the laser intensity parameter F 0 /κ, for different values of U/γ. In agreement with previous works [75,76], in the weak driving limit (F 0 /κ ≪ 1) we obtain the linear response regime, i.e. ∆Φ(ω 0 ) ≈ 0 from equation (15), which is also demonstrated numerically in figure 3(b).…”
Section: Nonlinear Phase Shift In the Frequency Domainsupporting
confidence: 92%
“…It is challenging to comprehend these results intuitively. Therefore, we perform classical electrodynamics calculations using the transmission matrix (T-matrix) formalism 55 in order to understand their physical origin.…”
Section: Resultsmentioning
confidence: 99%
“…The transfer matrix method was used to model the mode dispersion. The model relied on a 2 × 2 matrix in order to obtain the electromagnetic description of each layer [24]. The properties of the layer were extracted from Palik [25] (Ag, ITO, (3-mercaptopropyl) trimethoxysilane) and Schott (NBK7, SiO 2 ), while experimental parameters calibrated the model.…”
Section: Methodsmentioning
confidence: 99%