Table 3 Different predictions of the nth-order super- and sub-Poissonian statistics with \(n=2,3,4\) for the photon (\(z=a\)), phonon (b), and hybrid photon–phonon (c) modes, where \(g_{234}\) is defined in Eq. (31).
Case | \(g_{234}\) | Mode a | Mode b | Mode c |
|---|---|---|---|---|
1 | \((-,-,-)\) | \(\surd\) | \(\surd\) | \(\surd\) |
2 | \((-,-,+)\) | \(\times\) | \(\surd\) | \(\surd ^*\) |
3 | \((-,+,-)\) | \(\times\) | \(\times\) | \(\times\) |
4 | \((+,-,-)\) | \(\surd\) | \(\surd\) | \(\surd\) |
5 | \((-,+,+)\) | \(\times\) | \(\surd\) | \(\surd\) |
6 | \((+,-,+)\) | \(\times\) | \(\times\) | \(\times\) |
7 | \((+,+,-)\) | \(\surd\) | \(\surd\) | \(\surd\) |
8 | \((+,+,+)\) | \(\surd\) | \(\surd\) | \(\surd\) |
