Abstract
The weak coupling limit for a quantum system, with discrete spectrum, in interaction with a quantum field reservoir is considered. Depending on the nature of the reservoir (i.e. bosonic or fermionic) and the degree of nonlinearity of the interaction, we discover that either a bosonization or fermionization of the collective multi-linear reservoir operators emerges. The stochastic evolution is determined after the weak coupling limit and is shown to be unitary: also we show that our calculations for the system-only dynamics coincide with those previously postulated by physicists.
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Accardi, L., Gough, J. & Lu, Y. Quantum Stochastic Linearization of Multi-Linear Interactions. Open Systems & Information Dynamics 5, 41–65 (1998). https://doi.org/10.1023/A:1009627919182
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DOI: https://doi.org/10.1023/A:1009627919182