  We investigate the intra-waveguide statistics manipulation of broadband light
by combining semiconductor quantum dot physics with quantum optics. By cooling
a quantum dot superluminescent diode to liquid nitrogen temperature of $77K$,
Blazek et al. [Phys. Rev. A 84, 63840 (2011)] have demonstrated a
temperature-dependent reduction of the second-order intensity correlation
coefficient from two for thermal amplified spontaneous emission light to
$g^{(2)}(T=190 K)\approx 1.33$. Here, we model the broadband photon statistics
assuming amplified spontaneous emission radiation in a pumped, saturable
quantum dot gain medium. We demonstrate that, by an intensity increase due to
the quantum dot occupation dynamics via the temperature-tuned quasi Fermi
levels, together with the saturation nonlinearity, a statistics manipulation
from thermal Bose-Einstein statistics towards Poissonian statistics can be
realized, thus producing "silent white light". Such intensity-noise reduced
broadband radiation is relevant for many applications like optical coherence
tomography, optical communication or optical tweezers.
