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

Abstract

A density matrix theory of electron transport and optical gain in quantum cascade lasers in an external magnetic field is formulated. Starting from the general quantum kinetic treatment, we describe the intra- and inter-period electron dynamics at the non-Markovian, Markovian and Boltzmann approximation levels. Interactions of electrons with longitudinal optical phonons and classical light field are included in the present description. The non-Markovian calculation for a prototype structure reveals significantly different gain spectra in terms of linewidth and additional polaronic features in comparison to the Markovian and Boltzmann ones. Despite strongly opposed 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.

27 pages, 12 figures, to be submitted to Physical Review B

References in corpus (8)

• Nonequilibrium Green's function theory for transport and gain properties of quantum cascade structures
• On the Nature of Charge Transport in Quantum-Cascade Lasers
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• Quantum-mechanical wavepacket transport in quantum cascade laser structures
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Cited by in corpus (8)

• Temperature dependence of the gain profile for THz quantum cascade lasers
• Density-matrix theory of the optical dynamics and transport in quantum cascade structures: The role of coherence
• Optoelectronic device simulations based on macroscopic Maxwell-Bloch equations
• An extended density matrix model applied to silicon-based terahertz quantum cascade lasers
• Dynamical Transition for a class of integrable models coupled to a bath
• Optical phonon scattering and theory of magneto-polarons in a quantum cascade laser in a strong magnetic field
• Microscopic model for intersubband gain from electrically pumped quantum-dot structures
• Magnetotunnelling in resonant tunnelling structures with spin-orbit interaction