Table 2 Different single- and two-time phonon-number correlation effects induced in the QD mode, which can be observed for different values of the qubit-SMR coupling strength g with respect to the SMR decay rate \(\kappa _{a}\), e.g., by setting the other parameters to be the same as in Eq. (30).
Case | Effect | Single-time correlations | Two-time correlations | Example of \(g/\kappa _{a}\) | Figure |
|---|---|---|---|---|---|
I | Stronger form of PB (‘true’ PB) | Sub-Poissonian PNS \({g_{b}^{(2)}(0)}<1\) | Phonon antibunching \({g_{b}^{(2)}(\tau )} >{g_{b}^{(2)}(0)}\) | 3.0 | 7(a) |
II | Stronger form of PIT (‘true’ PIT) | Super-Poissonian PNS \({g_{b}^{(2)}(0)}>1\) | Phonon bunching \({g_{b}^{(2)}(\tau )} <{g_{b}^{(2)}(0)}\) | 2.1 | 7(b) |
III | Weaker form of PIT or PB | Super-Poissonian PNS \({g_{b}^{(2)}(0)}>1\) | Phonon antibunching \({g_{b}^{(2)}(\tau )} >{g_{b}^{(2)}(0)}\) | 3.8 | 7(c) |
IV | Weaker form of PB or PIT | Sub-Poissonian PNS \({g_{b}^{(2)}(0)}<1\) | Phonon bunching \({g_{b}^{(2)}(\tau )} <{g_{b}^{(2)}(0)}\) | 2.2 | 7(d) |
