Effective Bloch equations for semiconductors

M. Lindberg, S. W. Koch

Research output: Contribution to journalArticlepeer-review

563 Scopus citations


Generalized Bloch equations for laser-excited semiconductors are derived applying quantum-mechanical projection-operator techniques. The equations include phase-space filling and the many-body Coulomb effects. The coherent part of the equations is evaluated for the regime of ultrafast-pump-probe excitation and shown to reduce to the inhomogeneously broadened two-level Bloch equations for the different momentum states if the proper Coulomb enhancement in the density of states is taken into account. For the high-excitation quasithermal regime a generalization of the Elliott formula for the absorption spectrum is derived which is valid not only for bulk semiconductors, but also for quantum-well structures and other systems with reduced spatial dimensions.

Original languageEnglish (US)
Pages (from-to)3342-3350
Number of pages9
JournalPhysical Review B
Issue number5
StatePublished - Jan 1 1988

ASJC Scopus subject areas

  • Condensed Matter Physics


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