However,

according to a few experimental reports [15–17], it is reasonable to assume that the lifetime of the MFs is κ MF=0.1 MHz. Since the coupling strength between the QD and nearby MFs is dependent on their distance, we also expect the coupling strength g=0.03 GHz via adjusting the distance between the QD-NR hybrid structure and the nanowire. Firstly, we consider the case that there is no coupling between the QD and NR (η=0), i.e. only a single QD is coupled to the nanowire. Figure 2 plots the optical Kerr coefficient R e(χ (3)) as a function of the probe detuning Δ pr. In Figure 2, the blue curve indicates the nonlinear optical spectrum without the QD-MF coupling, and the red one shows the result with the QD-MF coupling AZD1152 g=0.03 GHz. It is obvious that when the MFs are presented at the ends of the nanowire, the two sharp sideband peaks will appear in the optical

Kerr spectrum of the QD. The physical origin of this result is due to the QD-MF coherent interaction, which makes the resonant enhancement of the optical Kerr effect in the QD. This result also implies that the sharp peaks in the nonlinear optical selleck screening library spectrum may be the signature of MFs at the ends of the nanowire. Because there also includes normal selleck electrons in the nanowire, in order to determine whether or not this signature (i.e. the sharp peaks) is the true MFs, we plot the inset of Figure 2, which uses the tight binding Hamiltonian to describe the normal electrons. In the

figure, the parameters of normal electrons are chosen the same as MFs so that we can compare with the case of MFs. From the figure, we can observe that there is no sharp peak and only a nearly zero line in the spectrum (see the green line in the inset). This result demonstrates that the coupling between the QD and the normal electrons in the nanowire can be neglected in our theoretical treatment. In this case, one may utilize the optical Kerr effect in QD to detect the existence of MFs provided that the QD is close enough to the selleck compound ends of the nanowire. Figure 2 Optical Kerr coefficient as function of probe detuning Δ pr with two different QD-MF coupling strengths. The inset shows the result for the normal electrons in the nanowire that couple to the QD at the coupling strength ζ=0.03 GHz. The parameters used are Γ 1=0.3 GHz, Γ 2=0.15 GHz, η=0, γ m =4×10-5 GHz, ω m =1.2 GHz, κ MF=0.1 MHz, GHz2, Δ MF=-0.5 GHz, and Δ pu=0.5 GHz. Secondly, we turn on the coupling to the NR (η≠0) and then plot the optical Kerr coefficient as a function of probe detuning Δ pr for η=0.06 as shown in Figure 3. Taking the coupling between the QD and NR into consideration, the other two sharp peaks located at ±ω m will also appear. The red and blue curves correspond to the optical Kerr coefficient with and without the QD-MF coupling, respectively.