Density matrix theory of transport and gain in quantum cascade lasers in a magnetic field

Ivana Savić, Nenad Vukmirović, Zoran Ikonić, Dragan Indjin, Robert W. Kelsall, Paul Harrison, Vitomir Milanović

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38 Citations (Scopus)


A density matrix theory of electron transport and optical gain in quantum cascade lasers in an external magnetic field is formulated. Starting from a general quantum kinetic treatment, we describe the intraperiod and interperiod electron dynamics at the non-Markovian, Markovian, and Boltzmann approximation levels. Interactions of electrons with longitudinal optical phonons and classical light fields are included in the present description. The non-Markovian calculation for a prototype structure reveals a significantly different gain spectra in terms of linewidth and additional polaronic features in comparison to the Markovian and Boltzmann ones. Despite strongly controversial interpretations of the origin of the transport processes in the non-Markovian or Markovian and the Boltzmann approaches, they yield comparable values of the current densities.

Original languageEnglish
Article number165310
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number16
Early online date12 Oct 2007
Publication statusPublished - 15 Oct 2007
Externally publishedYes


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