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A dynamics-controlled truncation scheme for the hierarchy of density matrices in semiconductor optics

Title data

Axt, Vollrath M. ; Stahl, Arne:
A dynamics-controlled truncation scheme for the hierarchy of density matrices in semiconductor optics.
In: Zeitschrift für Physik B Condensed Matter. Vol. 93 (1994) Issue 2 . - pp. 195-204.
ISSN 1431-584X
DOI: https://doi.org/10.1007/BF01316963

Abstract in another language

We discuss the interaction of coherent electromagnetic fields with the semiconductor band edge in a dynamic density matrix model. Due to the influence of the
Coulomb-interaction the n-point density matrices are coupled in an infinite hierarchy of equations of motion. We show how this hierarchy is related to an expansion of the density matrices in terms of powers of the exciting field. We make use of the above results to set up a closed set of equations of motion involving two-, four-and six-point correlation functions, from which all third order contributions to the polarization can be calculated exactly. Comparison of our treatment of the hierarchy with the widely used RPA decoupling on the two-point level, gives interesting insight into the validity of the RPA. In particular we find, that a RPA-like factorization for two of the relevant density-matrices yields a solution of their respective equations of motion to lowest order in the electric field.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: density matrix hierarchy; microscopic dynamics of semiconductors; non-linear optics; ultrafast dynamics
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics III > Chair Theoretical Physics III - Univ.-Prof. Dr. Martin Axt
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics III
Result of work at the UBT: No
DDC Subjects: 500 Science
500 Science > 530 Physics
Date Deposited: 16 Oct 2017 07:30
Last Modified: 16 Oct 2017 07:30
URI: https://eref.uni-bayreuth.de/id/eprint/40005