Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical review. B, Condensed matter

Evidence of six-particle Coulomb correlations in six-wave-mixing signals from a semiconductor quantum well

V. M. Axt, S. R. Bolton, U. Neukirch, Lu Jeu Sham, D. S. Chemla

Published Feb 22, 2001• 42 citations
Publisher

Abstract

Six-wave-mixing signals from a ZnSe quantum well are analyzed experimentally and with a microscopic density-matrix description using the dynamics-controlled-truncation scheme. For each physically distinct combination of polarizations of the exciting pulses, the spectrum of six-wave-mixing emission is measured as a function of time delay. The experimental results are compared with calculations performed at different levels of approximation. Although the leading order contributions to six-wave-mixing signals are of fifth order in the laser field, we show that there are significant signal components that are due to at least ${\ensuremath{\chi}}^{(7)}$ processes. The sensitivity of six-wave-mixing signals to high-order Coulomb correlations is demonstrated. Six-point density matrices are found to be indispensable for the interpretation of our experiments, while some details seem to indicate the involvement of even higher-order correlation functions. Furthermore, we find a remarkable dynamical decoupling of spectral signatures and the delay-time behavior after excitation with linearly polarized pulses.

DOI
10.1103/physrevb.63.115303

Related papers

Influence of higher Coulomb correlations on optical coherent-control signals from a ZnSe quantum well

Hans Georg Breunig, T. Voss, Ilja Rückmann +3 more

The manipulation of the coherent optical polarization in a quantum well with a pair of phase-locked laser pulses is investigated by using wave-mixing signals. The measurements are performed in four- and six-wave-mixing geometries with different polarization states of the excitation pulses. Even at moderate excitation densities, the signals are modulated by higher harmonics that correspond to high-order optical nonlinearities. A significant effect of higher Coulomb correlations on the coherent-control signals is demonstrated by comparing the experiments with calculations based on a microscopic density-matrix theory. The theoretical approach makes use of the dynamics-controlled truncation scheme. The corresponding numerical results are in good agreement with the experiment.

Journal of the Optical Society of America B•Aug 1, 2003•14 citations

Coherent Oscillations in Multiwave Mixing Due to Higher-Order Coulomb Correlations

Hans Peter Wagner, H.-P. Tranitz, Matthias Reichelt +2 more

A three-beam configuration is used to investigate the spectrally resolved wave-mixing signal of a ZnSe single quantum well. The spectrum recorded in direction 2 k2–k1 shows coherent oscillations induced by a delayed third pulse with direction k3. Intensity and polarization-dependent measurements indicate that the signal is generated by a combination of four- and six-wave mixing. The origin of the oscillations can be explained qualitatively by a two-level model. The polarization-dependent experimental results require the treatment of many-body correlations and are well explained by microscopic calculations including four-particle correlations up to fifth order in the fields.

physica status solidi (a)•Apr 1, 2002•0 citations

Correlated Coulomb quantum kinetics in optically excited semiconductors

V. M. Axt, Björn Haase

Correlations due to biexcitons as well as to two-pair scattering states are direct manifestations of Coulomb quantum kinetics. Effects resulting from the memory structure of the corresponding contributions to the optical interband polarization are analyzed taking a ZnSe single-quantum well as model system. Our calculations are based on a microscopic density matrix description using the dynamics controlled truncation scheme for closing the hierarchy of higher-order density matrices. A detailed comparison between experiment and theory allows for the identification of numerous effects directly reflecting different aspects of pair-correlations. In particular, we demonstrate various influences of the two-pair scattering continuum on four-wave-mixing signals. Furthermore, we show that signals with a dynamically changing polarization sensitively monitor a competition between coherent parts of the dynamics and signal components induced by incoherent exciton densities. Surprisingly, the phase of these signals is found to be almost unaffected by the presence of incoherent densities. This result can be traced back to a compensation of the influences on the phases resulting from different incoherent parts of the dynamics. Six-particle correlations representing transitions from incoherent densities to two-pair correlations turn out to be indispensable for a proper description of this effect.© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 10, 2001•0 citations

How Correlated Coulomb Quantum Kinetics Affects the Optical Phase of Four-Wave-Mixing Signals

V. M. Axt, Georg Bartels, Björn Haase +3 more

The optical phase of four-wave-mixing (FWM) signals from a ZnSe single quantum well is analyzed experimentally and theoretically. The focus is on excitation conditions where the polarization state of the emitted light is dynamically changing rather than being fixed by selection rules, a case known to be sensitive to high-order Coulomb correlations. The phase is measured using an iterative procedure taking as input FWM signals with real-time resolution as well as frequency regime data. The results are compared with a microscopical density-matrix description using the dynamics controlled truncation (DCT) scheme. Mean-field Coulomb interactions, Pauli blocking and transitions to biexcitons and the two-pair scattering continuum are accounted for. Calculations in the coherent limit are able to reproduce the measured phases. The correlated two-pair scattering continuum is shown to have a significant impact on the phase.

physica status solidi (b)•Sep 1, 2000•8 citations

How Correlated Coulomb Quantum Kinetics Affects the Optical Phase of Four-Wave-Mixing Signals

V. M. Axt, Georg Bartels, Björn Haase +3 more

The optical phase of four-wave-mixing (FWM) signals from a ZnSe single quantum well is analyzed experimentally and theoretically. The focus is on excitation conditions where the polarization state of the emitted light is dynamically changing rather than being fixed by selection rules, a case known to be sensitive to high-order Coulomb correlations. The phase is measured using an iterative procedure taking as input FWM signals with real-time resolution as well as frequency regime data. The results are compared with a microscopical density-matrix description using the dynamics controlled truncation (DCT) scheme. Mean-field Coulomb interactions, Pauli blocking and transitions to biexcitons and the two-pair scattering continuum are accounted for. Calculations in the coherent limit are able to reproduce the measured phases. The correlated two-pair scattering continuum is shown to have a significant impact on the phase.

physica status solidi (b)•Sep 1, 2000•2 citations

Demonstration of Sixth-Order Coulomb Correlations in a Semiconductor Single Quantum Well

S. R. Bolton, U. Neukirch, Lu Jeu Sham +2 more

Six-wave mixing in a ZnSe quantum well is investigated and compared with microscopic theory. We demonstrate that sixth-order Coulomb correlations have a significant qualitative impact on the nonlinear optical response. Six-wave mixing is shown to be a uniquely sensitive tool for investigation of correlations beyond the four-point level.

Physical Review Letters•Aug 28, 2000•66 citations
Six-wave-mixing signals from a ZnSe quantum well are analyzed experimentally and with a microscopic density-matrix description using the dynamics-controlled-truncation scheme. For each physically distinct combination of polarizations of the exciting pulses, the spectrum of six-wave-mixing emission is measured as a function of time delay. The experimental results are compared with calculations performed at different levels of approximation. Although the leading order contributions to six-wave-mixing signals are of fifth order in the laser field, we show that there are significant signal components that are due to at least \ensuremathχ(7){\ensuremath{\chi}}^{(7)}\ensuremathχ(7) processes. The sensitivity of six-wave-mixing signals to high-order Coulomb correlations is demonstrated. Six-point density matrices are found to be indispensable for the interpretation of our experiments, while some details seem to indicate the involvement of even higher-order correlation functions. Furthermore, we find a remarkable dynamical decoupling of spectral signatures and the delay-time behavior after excitation with linearly polarized pulses.
The manipulation of the coherent optical polarization in a quantum well with a pair of phase-locked laser pulses is investigated by using wave-mixing signals. The measurements are performed in four- and six-wave-mixing geometries with different polarization states of the excitation pulses. Even at moderate excitation densities, the signals are modulated by higher harmonics that correspond to high-order optical nonlinearities. A significant effect of higher Coulomb correlations on the coherent-control signals is demonstrated by comparing the experiments with calculations based on a microscopic density-matrix theory. The theoretical approach makes use of the dynamics-controlled truncation scheme. The corresponding numerical results are in good agreement with the experiment.
A three-beam configuration is used to investigate the spectrally resolved wave-mixing signal of a ZnSe single quantum well. The spectrum recorded in direction 2 k2–k1 shows coherent oscillations induced by a delayed third pulse with direction k3. Intensity and polarization-dependent measurements indicate that the signal is generated by a combination of four- and six-wave mixing. The origin of the oscillations can be explained qualitatively by a two-level model. The polarization-dependent experimental results require the treatment of many-body correlations and are well explained by microscopic calculations including four-particle correlations up to fifth order in the fields.
Correlations due to biexcitons as well as to two-pair scattering states are direct manifestations of Coulomb quantum kinetics. Effects resulting from the memory structure of the corresponding contributions to the optical interband polarization are analyzed taking a ZnSe single-quantum well as model system. Our calculations are based on a microscopic density matrix description using the dynamics controlled truncation scheme for closing the hierarchy of higher-order density matrices. A detailed comparison between experiment and theory allows for the identification of numerous effects directly reflecting different aspects of pair-correlations. In particular, we demonstrate various influences of the two-pair scattering continuum on four-wave-mixing signals. Furthermore, we show that signals with a dynamically changing polarization sensitively monitor a competition between coherent parts of the dynamics and signal components induced by incoherent exciton densities. Surprisingly, the phase of these signals is found to be almost unaffected by the presence of incoherent densities. This result can be traced back to a compensation of the influences on the phases resulting from different incoherent parts of the dynamics. Six-particle correlations representing transitions from incoherent densities to two-pair correlations turn out to be indispensable for a proper description of this effect.© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
The optical phase of four-wave-mixing (FWM) signals from a ZnSe single quantum well is analyzed experimentally and theoretically. The focus is on excitation conditions where the polarization state of the emitted light is dynamically changing rather than being fixed by selection rules, a case known to be sensitive to high-order Coulomb correlations. The phase is measured using an iterative procedure taking as input FWM signals with real-time resolution as well as frequency regime data. The results are compared with a microscopical density-matrix description using the dynamics controlled truncation (DCT) scheme. Mean-field Coulomb interactions, Pauli blocking and transitions to biexcitons and the two-pair scattering continuum are accounted for. Calculations in the coherent limit are able to reproduce the measured phases. The correlated two-pair scattering continuum is shown to have a significant impact on the phase.
The optical phase of four-wave-mixing (FWM) signals from a ZnSe single quantum well is analyzed experimentally and theoretically. The focus is on excitation conditions where the polarization state of the emitted light is dynamically changing rather than being fixed by selection rules, a case known to be sensitive to high-order Coulomb correlations. The phase is measured using an iterative procedure taking as input FWM signals with real-time resolution as well as frequency regime data. The results are compared with a microscopical density-matrix description using the dynamics controlled truncation (DCT) scheme. Mean-field Coulomb interactions, Pauli blocking and transitions to biexcitons and the two-pair scattering continuum are accounted for. Calculations in the coherent limit are able to reproduce the measured phases. The correlated two-pair scattering continuum is shown to have a significant impact on the phase.