### Abstract

The derivation of a microscopic many-body theory for the nonlinear optical response of semiconductors is reviewed. At the Hartree-Fock level, the semiconductor Bloch equations include many-body effects via band gap and field renormalization. These equations are sufficient to describe excitonic resonances as they appear already in the linear absorption spectra. An adequate description of nonlinear optical effects in semiconductors beyond the Hartree-Fock level includes Coulomb interaction induced carrier correlations. Different schemes have been developed to treat such correlation effects. As two examples, the second-order Born approximation and the dynamics-controlled truncation scheme are introduced and analyzed. In addition to the derivation of the equations of motion, a few examples are presented which highlight important signatures of many-body correlations in the optical response of semiconductors.

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

Title of host publication | Lecture Notes in Physics |

Pages | 115-152 |

Number of pages | 38 |

Volume | 689 |

DOIs | |

State | Published - 2006 |

Externally published | Yes |

### Publication series

Name | Lecture Notes in Physics |
---|---|

Volume | 689 |

ISSN (Print) | 00758450 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Lecture Notes in Physics*(Vol. 689, pp. 115-152). (Lecture Notes in Physics; Vol. 689). https://doi.org/10.1007/11398448_4

**Microscopic theory of coherent semiconductor optics.** / Meier, T.; Koch, Stephan W.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Lecture Notes in Physics.*vol. 689, Lecture Notes in Physics, vol. 689, pp. 115-152. https://doi.org/10.1007/11398448_4

}

TY - CHAP

T1 - Microscopic theory of coherent semiconductor optics

AU - Meier, T.

AU - Koch, Stephan W

PY - 2006

Y1 - 2006

N2 - The derivation of a microscopic many-body theory for the nonlinear optical response of semiconductors is reviewed. At the Hartree-Fock level, the semiconductor Bloch equations include many-body effects via band gap and field renormalization. These equations are sufficient to describe excitonic resonances as they appear already in the linear absorption spectra. An adequate description of nonlinear optical effects in semiconductors beyond the Hartree-Fock level includes Coulomb interaction induced carrier correlations. Different schemes have been developed to treat such correlation effects. As two examples, the second-order Born approximation and the dynamics-controlled truncation scheme are introduced and analyzed. In addition to the derivation of the equations of motion, a few examples are presented which highlight important signatures of many-body correlations in the optical response of semiconductors.

AB - The derivation of a microscopic many-body theory for the nonlinear optical response of semiconductors is reviewed. At the Hartree-Fock level, the semiconductor Bloch equations include many-body effects via band gap and field renormalization. These equations are sufficient to describe excitonic resonances as they appear already in the linear absorption spectra. An adequate description of nonlinear optical effects in semiconductors beyond the Hartree-Fock level includes Coulomb interaction induced carrier correlations. Different schemes have been developed to treat such correlation effects. As two examples, the second-order Born approximation and the dynamics-controlled truncation scheme are introduced and analyzed. In addition to the derivation of the equations of motion, a few examples are presented which highlight important signatures of many-body correlations in the optical response of semiconductors.

UR - http://www.scopus.com/inward/record.url?scp=33751565961&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751565961&partnerID=8YFLogxK

U2 - 10.1007/11398448_4

DO - 10.1007/11398448_4

M3 - Chapter

AN - SCOPUS:33751565961

SN - 3540300856

SN - 9783540300854

VL - 689

T3 - Lecture Notes in Physics

SP - 115

EP - 152

BT - Lecture Notes in Physics

ER -