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.
Accardi, L., Gough, J., Lu, Y.g. (1998). Quantum Stochastic Linearization of Multi-Linear Interactions. OPEN SYSTEMS & INFORMATION DYNAMICS, 5(1), 41-65 [10.1023/A:1009627919182].
Quantum Stochastic Linearization of Multi-Linear Interactions
ACCARDI, LUIGI;
1998-03-01
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.File | Dimensione | Formato | |
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