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International Journal of Modern Physics B

SQUEEZED STATE OF BIEXCITONS IN EXCITED SEMICONDUCTORS

Nguyen Ba An

Published Feb 1, 1992• 4 citations
Publisher

Abstract

Exact time-evolution is analytically derived from a coherent photon-exciton system subjected to a monochromatic radiation field resonant with the exciton-biexciton transition. It is shown that biexcitons, which appear under the resonant pumping, might periodically behave as squeezed quasiparticles, if photons or/and excitons are initially in squeezed states. The squeezing degree of the initial photons or/and excitons, the pumping intensity and the off-resonance detuning are demonstrated to govern the transfer of squeezing from the photon-exciton system to the biexciton.

DOI
10.1142/s0217979292000207

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Exact time-evolution is analytically derived from a coherent photon-exciton system subjected to a monochromatic radiation field resonant with the exciton-biexciton transition. It is shown that biexcitons, which appear under the resonant pumping, might periodically behave as squeezed quasiparticles, if photons or/and excitons are initially in squeezed states. The squeezing degree of the initial photons or/and excitons, the pumping intensity and the off-resonance detuning are demonstrated to govern the transfer of squeezing from the photon-exciton system to the biexciton.
In this letter, we show that semiconductor excitons generated by coherent light may become squeezed. This is due to their interactions both with the light and among themselves. Based on a polariton theory and using a secular approximation, analytical expressions for exciton quadrature variances have been derived, which enable us to study easily the dependence of exciton squeezing degree on the pumping light intensity, frequency detuning and strength of exciton-exciton, as well as exciton-photon, interactions.
We extend a previous paper on biexciton normal squeezing to the case of k th power amplitude squeezing in a quantum interacting system of photons, excitons and biexcitons. We find that the k th 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.
An investigation is reported of static and dynamic optical bistability and optical switching in a system of coherent excitons and biexcitons in semiconductors subject to the exciton-photon interaction and optical conversion of excitons into biexcitons. The Heisenberg equations of motion for excitons and biexcitons and the wave equation for the field are used to derive a system of nonlinear differential equations describing the dynamic evolution of such a system. The equation of state for a theory of optical bistability is derived for the static case. A study is made of the stability of stationary optical bistability states. A computer experiment is used in an investigation of the switching times between the branches
The biexciton optical Stark-effect under resonant pumping between the exciton and biexciton levels is studied theoretically. The probabilities of biexciton two-photon absorption of a weak probe light and of one-photon biexciton-exciton transition are calculated. The optical Stark splitting manifests itself in two-photon biexciton absorption through two absorption peaks spaced 2 (Omega) apart. Omega is the Raby frequency. In the luminescence spectrum due to biexciton-exciton one-photon transition three luminescence maxima appear which are shifted with respect to the luminescence maximum in the case without pumping.