### Abstract

We present a microscopic theory of the coherent third-order (X^{(3)}) optical response of semiconductor quantum well microcavities, specialized to the four-wave-mixing configuration in the spectral vicinity of the lowest exciton frequency. The theory is that of a quantum-mechanical many-electron system dipole coupled to a classical radiation field. The many-electron dynamics is treated within the dynamics-controlled-truncation formalism restricted to the 1 s-exciton subspace. Within this limitation, all Coulomb correlation effects are included, resulting in an effective theory of (virtual) exciton-polariton scattering. Good quantitative agreement of the theory is obtained in comparison to the experiments reported by Gonokami et al., Phys. Rev. Lett. 79, 1341 (1997). This comparison reveals the signatures of both the bound biexciton and the exciton-exciton scattering (continuum) correlations. Furthermore, a proper calculation of the scattering correlations is shown to be important: each of two common approximations, the Markov and the second Born, results in clear discrepancies from the data.

Original language | English (US) |
---|---|

Article number | 045316 |

Pages (from-to) | 453161-4531615 |

Number of pages | 4078455 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 64 |

Issue number | 4 |

State | Published - Jul 15 2001 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*64*(4), 453161-4531615. [045316].

**Third-order exciton-correlation and nonlinear cavity-polariton effects in semiconductor microcavities.** / Kwong, Nai-Hang; Takayama, R.; Rumyantsev, I.; Kuwata-Gonokami, M.; Binder, Rudolf.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 64, no. 4, 045316, pp. 453161-4531615.

}

TY - JOUR

T1 - Third-order exciton-correlation and nonlinear cavity-polariton effects in semiconductor microcavities

AU - Kwong, Nai-Hang

AU - Takayama, R.

AU - Rumyantsev, I.

AU - Kuwata-Gonokami, M.

AU - Binder, Rudolf

PY - 2001/7/15

Y1 - 2001/7/15

N2 - We present a microscopic theory of the coherent third-order (X(3)) optical response of semiconductor quantum well microcavities, specialized to the four-wave-mixing configuration in the spectral vicinity of the lowest exciton frequency. The theory is that of a quantum-mechanical many-electron system dipole coupled to a classical radiation field. The many-electron dynamics is treated within the dynamics-controlled-truncation formalism restricted to the 1 s-exciton subspace. Within this limitation, all Coulomb correlation effects are included, resulting in an effective theory of (virtual) exciton-polariton scattering. Good quantitative agreement of the theory is obtained in comparison to the experiments reported by Gonokami et al., Phys. Rev. Lett. 79, 1341 (1997). This comparison reveals the signatures of both the bound biexciton and the exciton-exciton scattering (continuum) correlations. Furthermore, a proper calculation of the scattering correlations is shown to be important: each of two common approximations, the Markov and the second Born, results in clear discrepancies from the data.

AB - We present a microscopic theory of the coherent third-order (X(3)) optical response of semiconductor quantum well microcavities, specialized to the four-wave-mixing configuration in the spectral vicinity of the lowest exciton frequency. The theory is that of a quantum-mechanical many-electron system dipole coupled to a classical radiation field. The many-electron dynamics is treated within the dynamics-controlled-truncation formalism restricted to the 1 s-exciton subspace. Within this limitation, all Coulomb correlation effects are included, resulting in an effective theory of (virtual) exciton-polariton scattering. Good quantitative agreement of the theory is obtained in comparison to the experiments reported by Gonokami et al., Phys. Rev. Lett. 79, 1341 (1997). This comparison reveals the signatures of both the bound biexciton and the exciton-exciton scattering (continuum) correlations. Furthermore, a proper calculation of the scattering correlations is shown to be important: each of two common approximations, the Markov and the second Born, results in clear discrepancies from the data.

UR - http://www.scopus.com/inward/record.url?scp=0035878512&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035878512&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0035878512

VL - 64

SP - 453161

EP - 4531615

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 4

M1 - 045316

ER -