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We have shown that the coupling of a coherent exciton–photon system to an m-photon two-level atom may produce both quadrature-amplitude and number-phase squeezed excitons.

We theoretically investigate the evolution of biexcitons from a coherent into a squeezed state in a fully quantum system described by a trilinear Hamiltonian allowing the transition "photons + excitons ⇌ biexcitons". Curious dependences of the direction and degree of biexciton squeezing on the initial states of photons and excitons are obtained. The theoretical results are well reproduced by numerical calculations.

We extend a previous paper on biexciton normal squeezing to the case of kth power amplitude squeezing in a quantum interacting system of photons, excitons and biexcitons. We find that the kth power amplitude squeezing depends on the characteristics of the initial coherent biexciton while the normal squeezing does not. Both the direction of maximal squeezing and the squeezing degree are derived as explicit functions of k. Especially, the squeezing degree always decreases with increasing k regardless of the initial conditions. All these properties are examined numerically. PACS number(s): 42.50.Dv, 71.35.-y.