Quantum Diffusion
Abstract
Description
We consider a simple quantum system subjected to a classical random force. Under certain conditions it is shown that the noise-averaged Wigner function of the system follows an integro-differential stochastic Liouville equation. In the simple case of polynomial noise-couplings this equation reduces to a generalized Fokker-Planck form. With nonlinear noise injection new ``quantum diffusion'' terms arise that have no counterpart in the classical case. Two special examples that are not of a Fokker-Planck form are discussed: the first with a localized noise source and the other with a spatially modulated noise source.
5 pages, LA-UR-94-3329, LaTeX (to appear in Proceedings of the 4th Drexel Symposium on Quantum Nonintegrability)
5 pages, LA-UR-94-3329, LaTeX (to appear in Proceedings of the 4th Drexel Symposium on Quantum Nonintegrability)