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Quantum weak turbulence with applications to semiconductor lasers
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UNSPECIFIED (1998) Quantum weak turbulence with applications to semiconductor lasers. PHYSICA D-NONLINEAR PHENOMENA, 121 (3-4). pp. 317-343. ISSN 0167-2789.
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Abstract
Based on a model Hamiltonian appropriate for the description of fermionic systems such as semiconductor lasers, we describe a natural asymptotic closure of the BBGKY hierarchy in complete analogy with that derived for classical weak turbulence. The main features of the interaction Hamiltonian are the inclusion of full Fermi statistics containing Pauli blocking and a simple, phenomenological, uniformly weak two-particle interaction potential equivalent to the static screening approximation. We find a new class of solutions to the quantum kinetic equation which are analogous to the Kolmogorov spectra of hydrodynamics and classical weak turbulence. They involve finite fluxes of particles and energy in momentum space and are particularly relevant for describing the behavior of systems containing sources and sinks. We make a prima facie case that these finite flux solutions can be important in the context of semiconductor lasers and show how they might be used to enhance laser performance. (C) 1998 Elsevier Science B.V. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D-NONLINEAR PHENOMENA | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 15 October 1998 | ||||
Dates: |
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Volume: | 121 | ||||
Number: | 3-4 | ||||
Number of Pages: | 27 | ||||
Page Range: | pp. 317-343 | ||||
Publication Status: | Published |
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