Chapter 6 Coulomb correlation signatures in the excitonic optical nonlinearities of semiconductors

Meier, Torsten; Koch, S. W.

doi:10.1016/s0080-8784(01)80172-1

Cited by 11 publications

(16 citation statements)

References 120 publications

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“…These correlations go beyond those provided by the semiconductor Bloch equations in the Hartree-Fock approximation. Consequently, these results provide further evidence [19][20][21][28][29][30][31][32][33][34][35] of the contributions of cumulative four-particle (in the χ (3) limit [36,37]) correlations to the coherent response. Comparison between our experiments and numerical simulations based on the dynamics-controlled truncation scheme [37] provide additional insight into the roles of higher-order correlations between the excitons and the Raman coherence.…”

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confidence: 60%

Polarization dependence of quantum beats in quantum wells: Raman coherence and two‐exciton correlations

Hawkins

Gansen

Stevens

et al. 2003

phys. stat. sol. (c)

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Time-integrated differential detection techniques are used to study quantum beats involving the light-hole and heavy-hole excitons in an optically thin InGaAs multiple quantum well. The contributions of the exciton-exciton correlations are separated from those of the intervalence-band Raman coherence and the interband (population) coherence by monitoring the signal in the probe direction and by taking advantage of the polarization selection rules for the excitonic transitions. Quantum beats are observed for pump and probe pulses with the same circular polarization, providing evidence for two-exciton correlations. A theoretical analysis based on the dynamics-controlled truncation formalism suggests that the beats for the same linear polarization arise from Raman, population, and two-exciton contributions. 1 Introduction Interest in semiconductor analogues to quantum coherent processes in three-level systems has increased recently, at least in part, because of the prediction and observation of lasing without inversion, electromagnetically induced transparency and related effects in molecular and atomic systems [1][2][3][4]. One of the most direct manifestations of quantum coherence in a three-level system is the observation of quantum beats. In semiconductors, such beats have been observed in quasi-two-dimensional multiple quantum wells (MQWs) between light-hole (lh) and heavy-hole (hh) excitons [5][6][7][8][9][10][11][12][13]. In order for quantum beats (as opposed to polarization interference) to be produced, the hh and lh excitons must be coupled in some way. When both hh and lh excitons of the same spin are excited, this coupling can be provided by the common conduction band energy level shared by the hh and lh oscillators, as illustrated phenomenologically in Fig. 1. Recent experimental and theoretical work, however, has demonstrated that the lh-hh excitonic coupling necessary for lh-hh quantum beating also can be produced by the manybody Coulomb interactions between excitons [14-22] (schematically represented by the coupling arrow in Fig. 1). This hh-lh coupling, in turn, can produce two kinds of coherence: (i) the radiative coherence between the conduction and valence bands that is associated with the interband density matrix elements ρ c-hh and ρ c-lh and (ii) the non-radiative coherence between the hh and lh valence bands that is associated with the intervalence-band matrix element ρ hh-lh . The latter has also been referred to as Raman coherence [23,24], and its existence in MQWs has been established by the observation of coherently coupled hh

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confidence: 60%

Polarization dependence of quantum beats in quantum wells: Raman coherence and two‐exciton correlations

Hawkins

Gansen

Stevens

et al. 2003

phys. stat. sol. (c)

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“…[1][2][3]. Of particular importance in many studies has been the analysis of biexciton-induced contributions which strongly influence the dependence of low-intensity four-wave-mixing (FWM) and pump-probe (PP) signals on the polarization directions of the incident pulses.…”

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confidence: 99%

“…Furthermore, we apply the coherent limit, which allows us to express the population type variables as combinations of one-and two-exciton coherences, p and B, respectively [1][2][3][4][5][6]. Neglecting all the indices that appear in the microscopic version of the equations, the basic structure of the equations of motion in the coherent c ð5Þ -limit is given by [7]:…”

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confidence: 99%

“…In second order, the light field generates transitions to two excitons B via the term mEp in Eq. (2). Due to the Coulomb interaction B couples back to p through the third-order nonlinearity Vp * B.…”

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confidence: 99%

“…To keep the numerical effort within reasonable limits, we use a one-dimensional tight-binding model which includes the two heavy-hole and the two lowest conduction bands with the usual selection rules for the optical transitions, see [2,3,[8][9][10][11][12][13][14][15]. The analysis of the CES scans presented in Sect.…”

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confidence: 99%

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Signatures of biexcitons and triexcitons in coherent non‐degenerate semiconductor optics

Meier

Sieh

Finger

et al. 2003

Physica Status Solidi (b)

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PACS 71.35. Ày, 73.21.Fg, 78.67.De Signatures of exciton and two-exciton states in semiconductor systems are investigated experimentally and theoretically. A set of quantum well samples with different well widths is studied using coherent excitation spectroscopy. The experimental results are analyzed using a microscopic model demonstrating the importance of biexciton correlations and disorder effects. Additional numerical investigations of absorption changes in small nanorings are employed to analyze optical transitions from two-exciton to three-exciton resonances.1 Introduction During the last decade significant progress has been made in understanding effects arising from many-body Coulomb correlations in coherent semiconductor optics, see e.g. [1][2][3]. Of particular importance in many studies has been the analysis of biexciton-induced contributions which strongly influence the dependence of low-intensity four-wave-mixing (FWM) and pump-probe (PP) signals on the polarization directions of the incident pulses.After briefly outlining the theoretical approach in Sect. 2, we discuss two examples to show that a detailed knowledge on biexciton-and also triexciton-induced resonances can be obtained using coherent non-degenerate nonlinear semiconductor optics. In Sect. 3 experimental results obtained via coherent excitation spectroscopy (CES) on a set of quantum wells with different well widths are presented. The observations are analyzed on the basis of microscopic model calculations. Numerical investigations of absorption changes in small nanorings using a two-color pump-probe (TCPP) set-up are presented in Sect. 4. This scheme is useful to analyze optical transitions between individual two-exciton and three-exciton resonances.

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Microscopic Analysis of the Optical and Electronic Properties of Semiconductor Photonic‐Crystal Structures

Pasenow

Reichelt

Stroucken

et al. 2008

Nanophotonic Materials

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Chapter 6 Coulomb correlation signatures in the excitonic optical nonlinearities of semiconductors

Cited by 11 publications

References 120 publications

Polarization dependence of quantum beats in quantum wells: Raman coherence and two‐exciton correlations

Polarization dependence of quantum beats in quantum wells: Raman coherence and two‐exciton correlations

Signatures of biexcitons and triexcitons in coherent non‐degenerate semiconductor optics

Microscopic Analysis of the Optical and Electronic Properties of Semiconductor Photonic‐Crystal Structures

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