Figure 9
Two-point correlation function c(t) as defined by Eq. (6) for the exciton-polariton condensate, with the addition of quantum noise. Like in Fig. 6, we considered the order parameter \(\rho \) to be the relative deviation between the condensate density P(x, t) and the unperturbed steady-state density \(P_0\), namely, \(\rho (x,t) = \dfrac{P (x,t)-P_0}{P_0}\). We took \(x-x^\prime \) to be half the length of the strip. The limit \(|t-t^\prime |\rightarrow \infty \) was taken by fixing \(t^\prime \) at \(t^\prime = 100\) ps, and taking t to vary between 1000 and 1020 ps. This way \(|t-t^\prime | \gg \tau _C\), where \(\tau _C \approx 14\) ps is the period of the condensate oscillations. In all the simulations, the effective pumping rate \(\gamma _{\textrm{eff}} = \gamma - \kappa \) was kept constant and considered to be \(\gamma _{\textrm{eff}} = 0.1\) meV. (a) \(\kappa + \gamma = 1\) meV; (b) \(\kappa + \gamma =\) 5 meV; (c) \(\kappa + \gamma =\) 10 meV; and (d) \(\kappa + \gamma =\) 30 meV.
