Reduced density matrices of oscillator systems

Details Reduced density matrices of oscillator systems Reduced density matrices of oscillator systems

2002-10-04

arxiv.org/abs/quant-ph/0210030v1

Journal of Russian Laser Research, vol. 16, no. 1, p. 1--56 (1995)

Physics

Quantum Physics

LaTex, 22 pages. This is the third part (pages 32-56) of the paper by the authors entitled "Quantum nonstationary oscillator:

Scientific paper

We study the evolution of an oscillator interacting via the most general bilinear coupling (with time-independent coefficients) with an ``environment'' consisting of a set of other harmonic oscillators. We are mainly interested in a possibility of using the Fokker-Planck equation to describe this evolution. Studying different interaction Hamiltonians, we show that unambiguous reduction to the Fokker-Planck equation is possible only within the framework of the so called rotating-wave approximation. As special cases we consider in detail the evolution of two coupled oscillators and relaxation of a charged oscillator in a uniform magnetic field.

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