Level diagram of the dimer. In the special case of a homogeneous dimer, the dotted anti-symmetric state |−⟩ is optically dark and the dimer can be regarded as an effective three-level system.
(a) I(ω L ) and (b) Q(ω L ) versus (ω L − ω0)/J in the small Rabi frequency limit for the homogeneous dimer. Chosen parameters are ω0 = 10J, Γ0 = 2 × 10−2 J, Ω0 = −1 × 10−3 J. Calculated parameters based on Eqs. (A3) and (A4) are Γ g + = 5.3 × 10−2 J, Γ+e = 2.9 × 10−2 J, Ω+ = −1.4 × 10−3 J. (Inset) Our numerical results for the super-Poissonian peak (solid line) compared to the results derived from Eq. (20).
(a) I(ω L ) and (b) Q(ω L ) for the homogeneous dimer as a function of (ω L − ω0)/J for intermediate Rabi frequencies, Ω0 = −4 × 10−2 J, −8 × 10−2 J, and −1.2 × 10−1 J. Parameters are the same as those of Fig. 2, leading to Ω+ = −5.7 × 10−2 J, −1.1 × 10−1 J, and −1.7 × 10−1 J, respectively. (Inset) Transition from super- to sub-Poissonian behavior in more detail.
Plots of I(ω L ) and Q(ω L ) versus (ω L − ω0)/J for the dimer in both limits of inhomogeneity. Panels (a) and (c) present the data for small inhomogeneity, with parameter choices ω1 = 10J, ω2 = 10.2J (i.e., σ = 0.1J), Γ0 = 2 × 10−2 J, and Ω0 = −2 × 10−3 J. From this it follows that Γ g + = 5.3 × 10−2 J, Γ+e = 2.9 × 10−2 J, Γ g − = 7.2 × 10−5 J, Γ−e = 1.3 × 10−4 J, Ω g + = Ω+e = −2.8 × 10−3 J, and Ω g − = Ω−e = −1.4 × 10−4 J. Panels (b) and (d) present data for large inhomogeneity, with parameter choices ω1 = 10J, ω2 = 30J (i.e., σ = 10J), Γ0 = 2 × 10−2 J, and Ω0 = −2 × 10−3 J. From this we have Γ g + = 7.5 × 10−2 J, Γ+e = 2.7 × 10−3 J, Γ g − = 2.2 × 10−3 J, Γ−e = 6.1 × 10−2 J, Ω g + = Ω+e = −2.1 × 10−3 J, and Ω g − = Ω−e = −1.9 × 10−3 J. Inset (a): details of the |g⟩ → |−⟩ transition line shape. Inset (d): observation of the small super-Poissonian peak for ω L ≈ ω0.
Maximum value of the observed super-Poissonian peak Q max as a function of the disorder parameter σ. Numerical results (squares) are compared with those obtained from Eq. (22) (solid line). Chosen parameters are ω1 = 10J, Γ0 = 2 × 10−2 J, Ω0 = −1 × 10−3 J. (Inset) Same as the main plot, but now the energy dependence of the spontaneous decay rates Γ ij is neglected.
Level diagram of the linear homogeneous trimer with all molecules having equal transition dipole vectors. The arrows correspond to the optically allowed transitions.
(a) I(ω L ) and (b) Q(ω L ) versus (ω L − ω0)/J for the homogeneous trimer in the limit of small Rabi frequency. Chosen parameters are ω0 = 10J, Γ0 = 2 × 10−2 J, and Ω0 = −1 × 10−3 J.
(a) I(ω L ) and (b) Q(ω L ) for the trimer plotted against (ω L − ω0)/J for Ω0 = −0.05J and −0.1J. Chosen parameters are the same as those of Fig. 7. The range for ω L is chosen to reflect the characteristics of multi-exciton influences in more detail. (Inset) Detailed behavior of the frequency regime near , which is the transition frequency between the ground state and the |1; 1⟩ one-exciton state.
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