Relation between quantum statistics of phonons and scattered light

Abstract

The resonance model ofthe Raman process with the generation ofa Stokes component is solved exactly. The asymptotic behavior ofthe solution is discussed. Mandel's Q-factor is calculated as a function oftime both for the Stokes and the Rayleigh components fortheir dependence on the quantum statistical properties of the vibration mode (phonons). A qualitative difference between the cases of uncorrelated and correlated phonons is found whichmay have interesting experimentalimplications.

Quantum Optics and the Spectroscopy of Solids

“…[32,33,34] and references there) . However, due to the cubic nonlinearity, the problem is not solved exactly except the case of lAk = 0 [34,35,36].…”

“…[9,33,34,35]. Of course, the analysis of the high-order intensity correlations of the Stokes and anti-Stokes components can give richer picture of qualitative and quantitative effects of the dependence of photon statistics of scattered light on the quantum statistical properties of the scatterers [9,36]. These high-order intensity correlations can be measured by the methods of correlation spectroscopy [40] .…”

Generation and detection of squeezed phonons in lattice dynamics by ultrafast optical excitations

“…In the frequency domain, the relations between the quantum statistics of phonons and scattered light has been discussed in[34].…”