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arXiv · hep-th/9410181

Quantum Diffusion

Salman Habib
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Abstract

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.

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Salman Habib. 1994-10-25. Quantum Diffusion. https://arxiv.org/abs/hep-th/9410181

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