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The weak coupling limit for Fermions. (English) Zbl 0735.60106
Summary: It will be shown that, in the weak coupling limit, the matrix elements in the collective number vectors of the evolution in the interacting picture of a quantum system coupled to a quasifree Fermion bath with a laser type interaction, converge to the matrix elements in some number vectors, of a unitary quantum stochastic process satisfying a quantum stochastic differential equation driven by a Fermion Brownian motion with covariance uniquely determined by the initial Fermion bath.

MSC:
60K40 Other physical applications of random processes
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References:
[1] Fannes M., Ann. Soci. Sci. Bruxelles 87 pp 87–
[2] DOI: 10.2977/prims/1195176845 · Zbl 0676.60098
[3] DOI: 10.1007/BF01212531 · Zbl 0572.60052
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