Mandel q parameter

These correlations between Stokes and anti-Stokes pulses allow for the conditional preparation of the anti-Stokes pulse with intensity fluctuations that are suppressed compared with classical light. In order to quantify the performance of this technique, we measured the second-order intensity correlation function giis MS ) and mean number of photons fi for the anti-Stokes pulse conditioned on the detection of ns photons in the Stokes channel (see Fig. 4). (For classical states of light, (f1] > 1, whereas an ideal Fock state with n photons has anti-Stokes photons grows linearly with ns, while (AS1) drops below unity, indicating the nonclassical character of the anti-Stokes photon states. In the presence of back-ground counts, gks (AN) does not increase monotonically with ns, but instead exhibits a minimum at ns = 2. The Mandel Q parameter [Mandel 1995] can be calculated using = n f((jns (AS) — 1) from these measurements we... 

From the definition (19) of the Mandel q parameter and Eq. (133) we immediately find that... 

Figure 7. The Mandel q parameter for the (a) fundamental mode and (b) second-harmonic mode. The mean number of photons is Na — 10 (solid lines) and Na — 40 (dashed lines).

Mandel s Q parameter quantitatively deseribes the deviation of the photon statisties from the Poissonian ease [67, 68],... 

Eq. (4.53), which can be used to describe the line shape fiuctuations, is our main result so far. In Appendix C, we invert this equation from the Laplace s domain to the time T domain using straightforward complex analysis. Our goal is to investigate Mandel s Q parameter, Eq. (4.36) it is calculated using Eq. (4.53) and... 

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