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Real Time Approach to Relaxation and Dephasing Processes in Semiconductors
Author(s) -
Hartmann M.,
Schäfer W.
Publication year - 1992
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221730117
Subject(s) - dephasing , bloch equations , density matrix , relaxation (psychology) , propagator , physics , nonlinear system , limit (mathematics) , scattering , non equilibrium thermodynamics , phonon , master equation , coupling (piping) , quantum mechanics , statistical physics , mathematics , mathematical analysis , materials science , social psychology , metallurgy , quantum , psychology
Starting from the kinetic equations for the nonequilibrium Green's functions, a practical method is proposed which allows to solve the set of equations for the two‐time propagators numerically. In contrast to the usual semiconductor Bloch equations with phenomenological damping relaxation and dephasing processes are treated microscopically for the case of coupling to a bath of LO‐phonons. Beside a standard approximation for the treatment of LO‐phonon scattering, no further approximations are performed. For the low‐density limit we compare exact results with approximate treatments, as the Marcovian and non‐Marcovian approximations resulting from a density matrix approach. First results concerning nonlinear optical properties are presented.