Exciton and biexciton nonlinearities in coherent four-wave mixing in semiconductor quantum wells
The paper presents a description of two-pair correlations in an electron-hole system in laser-excited direct-gap semiconductors in terms of the exciton-boson formalism. The dependence of the states of quasi-particles on their angular momentum orientation is properly taken into account following group theory rules. It is shown for the example of heavy hole excitons in GaAs quantum wells that Coulomb two-exciton correlations include effective repulsion between excitons with nonzero total momenta and effective attraction between excitons with zero total momenta. They generate exciton and biexciton nonlinearities, respectively, in the exciton-biexciton system. The Heisenberg equations of motion derived are applied to four-wave mixing in the coherent mode. Two components of Coulomb two-exciton correlations were found to generate coherent four-wave mixing either separately, one at the cocircular and the other at the perpendicular-linear polarization of applied pulses, or jointly at parallel-linear polarization. General equations are obtained for the amplitude of four-wave mixing signals with time resolution in these polarization configurations, which, in the limit of ultranarrow pulses, reduce to analytic functions of time and excitation and sample parameters. These equations are used to analyze signal characteristics in every polarization configuration. The results give a correct picture of biexciton effects and the polarization dependence of coherent four-wave mixing in GaAs quantum wells.
- OSTI ID:
- 21067738
- Journal Information:
- Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 2 Vol. 102; ISSN JTPHES; ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
ANALYTIC FUNCTIONS
ANGULAR MOMENTUM
BOSONS
CORRELATIONS
EQUATIONS OF MOTION
EXCITATION
EXCITONS
FREQUENCY MIXING
GALLIUM ARSENIDES
GROUP THEORY
HOLES
LASERS
NONLINEAR PROBLEMS
POLARIZATION
PULSES
QUANTUM WELLS
SEMICONDUCTOR MATERIALS
SIGNALS
TIME RESOLUTION