Reduced density matrices of oscillator systems
摘要
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.
引用
@article{arxiv.quant-ph/0210030,
title = {Reduced density matrices of oscillator systems},
author = {V. V. Dodonov and O. V. Man'ko and V. I. Man'ko},
journal= {arXiv preprint arXiv:quant-ph/0210030},
year = {2007}
}
备注
LaTex, 22 pages. This is the third part (pages 32-56) of the paper by the authors entitled "Quantum nonstationary oscillator: models and applications"