Theory of exciton-exciton correlation in nonlinear optical response

Abstract

We present a systematic theory of Coulomb interaction effects in the nonlinear optical processes in semiconductors using a perturbation series in the exciting laser field. The third-order dynamical response consists of phase-space filling correction, mean-field exciton-exciton interaction, and two-exciton correlation effects expressed as a force-force correlation function. The theory provides a unified description of effects of bound and unbound biexcitons, including memory-effects beyond the Markovian approximation. Approximations for the correlation function are presented.Comment: RevTex, 35 pages, 10 PostScript figs, shorter version submitted to Physical Review

Dephasing in the quasi-two-dimensional exciton-biexciton system

“…28 Due to the continuum of scattering states, few-level models are not well suited to describe the nonlinear response in this spectral region, 30 and more advanced theoretical approaches are needed. [30][31][32] However, in the polarization configuration used, the level model is applicable to extract the linewidths of the transitions between the bound states in the system.…”

“…These results are significant for many theoretical approaches describing the nonlinear optical response of semiconductors close to the band edge, in which approximations for the relative dephasing rates are used. 39,32 The authors want to thank C. B. So "rensen ͑III-V Nanolab͒ for growing the high-quality GaAs sample and P. Borri for helpful discussions.…”

2d Fourier spectroscopy of disordered quantum wells

“…In the third order we find adopting the short memory approximation [10,4] and neglecting the contribution due to the Pauli blocking…”

“…2 Nonlinear response of disordered quantum wells The effect of disorder can be readily accounted for within the general theory of nonlinear response based on the Hubbard-type operators, which was developed in [10] and was applied for describing 2d Fourier spectra of homogeneous QWs in [4]. Disorder modifies the structure of the exciton states, which enter the theory in terms of the www.pss-c.com physica p s s status solidi c exciton operators…”

Quantum Field Theory of Exciton Correlations and Entanglement in Semiconductor Structures

“…We illustrate the application of this analysis by considering the optical response of a non-perturbed semiconductor (Erementchouk & Leuenberger, 2010b;Ostreich et al, 1998), that is when the initial state is vacuum |0 (empty conduction band and filled valence band). We will emphasize this fact by using the dashed horizontal (vacuum) line in diagrams.…”