Parametric interactions and scattering

Lawrence E. Thomas

Lukas Daniel Einkemmer, S. Portolan, Z. Voros +1 more

It has been proposed that parametric scattering of microcavity polaritons can be a source of non-classical photon correlations, producing photon pairs that are entangled in either the energy [1], or the polarization degree of freedom [2]. In order to establish, whether a particular scheme is practically feasible, one has to take into account not only the parametric processes in question, but the polaritons' interaction with their environment. It is clear that any such interaction is going to reduce the quality of the entanglement produced by the desired parametric process.

Felix Alexandrovich Berezin, M A Shubin

D. Bollé, Fritz Gesztesy

A rigorous theory for low-energy scattering in quantum systems in $n$ dimensions, $n>~2$, with general, possibly long-range, interactions is presented. It gives new insights into lowenergy phenomena; e.g., for $n=2$ the controversy around the existence of scattering parameters is resolved. Furthermore, the important role of a parametrization of scattering observables in the study of spin-polarized quantum systems is illustrated. For $n=3$, an analytic expansion of the phase shift and scattering length for charged, finite-size particle scattering, around their neutral counterparts, is derived.

Alberto Galindo, P. Pascual

Mikhail I. Kolobov, I. V. Sokolov

The intensity fluctuation spectrum of light in a squeezed state produced from three-wave parametric interaction of travelling waves is examined. The effect of dispersion of the medium (phase matching) on the possibility of reducing the photodetection noise below the Schottky level is investigated. The energy and spectral correlations of the parametric scattering and squeezing phenomena are discussed.