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S. Hughes have recently studied the same phenomena (i.e., the off-resonant cavity emission and the spectral triplet) through the Green's function formalism. In their work, it is concluded that the off-resonant cavity emission from other detuned states is so much less than the on-resonant VRS that this mechanism is unlikely to be responsible for the central peak in the triplet. In our view, the essential difference between our model and their model is the treatment of linewidth broadening. In their model, an additional radiative (population) decay is utilized to represent the linewidth broadening while a pure dephasing (broadening without population decay) is utilized in our model. For example, when Hughes present a typical linewidth broadening of 40μeV, it is accompanied by an additional population decay with a decay rate of ∼33ps, which is very fast compared to the typical lifetime of the QD (1∼15ns). Here, we limit ourselves to stating that this additional decay process accounts for a large part of the energy, and possibly leads to the different conclusion.
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72449185156
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The symmetry of the Hamiltonian is broken by BN,x and BN,y but is not changed by BN,z. Therefore, the mixing of BX0 and DX0 does not occur regardless of BN,z when BN,x = BN,y =0. However, the Overhauser field is temporally fluctuating and cannot keep BN,x = BN,y =0 beyond the correlation time (∼1ms) in most cases. In this context, it is reasonable to discuss the symmetry based on the presence of BN,x, BN,y, and BN,z corresponding to their root-mean-square values.
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The symmetry of the Hamiltonian is broken by BN,x and BN,y but is not changed by BN,z. Therefore, the mixing of BX0 and DX0 does not occur regardless of BN,z when BN,x = BN,y =0. However, the Overhauser field is temporally fluctuating and cannot keep BN,x = BN,y =0 beyond the correlation time (∼1ms) in most cases. In this context, it is reasonable to discuss the symmetry based on the presence of BN,x, BN,y, and BN,z corresponding to their root-mean-square values.
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