Analytical approach to semiconductor Bloch equations

    Authors

    M. Combescot; O. Betbeder-Matibet;M. N. Leuenberger

    Comments

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    Abbreviated Journal Title

    Epl

    Keywords

    OPTICAL-SPECTRUM; QUANTUM DOTS; EXCITON; POLARITON; DYNAMICS; Physics, Multidisciplinary

    Abstract

    Although semiconductor Bloch equations have been widely used for decades to address ultrafast optical phenomena in semiconductors, they have a few important drawbacks: i) Coulomb terms between free electron-hole pairs require a Hartree-Fock treatment which, in its usual form, preserves excitonic poles but loses biexcitonic resonances. ii) The resulting coupled differential equations impose heavy numerics which completely hide the physics. This can be completely avoided if, instead of free electron-hole pairs, we use correlated pairs, i.e., excitons. Their interactions are easy to handle through the recently constructed composite-boson many-body theory. This allows us to obtain the time evolution of the polarization induced by a laser pulse analytically. Polarization is shown to come from Coulomb interactions between virtual excitons, but also from Coulomb-free fermion exchanges, these being dominant at large detuning. Copyright (C) EPLA, 2009

    Journal Title

    Epl

    Volume

    88

    Issue/Number

    5

    Publication Date

    1-1-2009

    Document Type

    Article

    Language

    English

    First Page

    6

    WOS Identifier

    WOS:000272835100023

    ISSN

    0295-5075

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