Fokker-Planck equations for quantum amplifiers and squeezing

Alexander V. Gorokhov

doi:10.1117/12.426691

9 May 2001 Fokker-Planck equations for quantum amplifiers and squeezing

Alexander V. Gorokhov

Proceedings Volume 4243, Saratov Fall Meeting 2000: Laser Physics and Photonics; and Spectroscopy and Molecular Modeling; (2001) https://doi.org/10.1117/12.426691
Event: Saratov Fall Meeting 2000, 2001, Saratov, Russian Federation

Abstract

The Fokker-Planck equations (FPE) which determine the time dependence of P -- symbol of the density matrix of quantum parametric amplifiers are derived and their group properties are investigated. Exploring the coherent states method, constructing the dynamical symmetry group of FPE and generalizing the well known Wei-Norman method to the case of FPE, we have found FPE solutions exactly. The initial squeezing influence of the thermal reservoir is discussed.

Citation Download Citation

Alexander V. Gorokhov "Fokker-Planck equations for quantum amplifiers and squeezing", Proc. SPIE 4243, Saratov Fall Meeting 2000: Laser Physics and Photonics; and Spectroscopy and Molecular Modeling, (9 May 2001); https://doi.org/10.1117/12.426691

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