Quantum weak turbulence with applications to semiconductor lasers

Research output: Contribution to journalArticle

17 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)317-343
Number of pages27
JournalPhysica D: Nonlinear Phenomena
Volume121
Issue number3-4
StatePublished - 1998

Fingerprint

Hamiltonians
Semiconductor Lasers
Semiconductor lasers
Turbulence
semiconductor lasers
turbulence
BBGKY hierarchy
Fluxes
Particle interactions
particle interactions
sinks
kinetic equations
BBGKY Hierarchy
closures
Momentum
Screening
screening
Hydrodynamics
hydrodynamics
Statistics

Keywords

  • BBGKY hierarchy
  • Kolmogorov spectra
  • Quantum kinetic equation
  • Quantum weak turbulence
  • Semiconductor laser

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Quantum weak turbulence with applications to semiconductor lasers. / Lvov, Y. V.; Binder, Rudolf; Newell, Alan C.

In: Physica D: Nonlinear Phenomena, Vol. 121, No. 3-4, 1998, p. 317-343.

Research output: Contribution to journalArticle

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