On the Quantum Dissipative Generator : weak-coupling approximation and stochastic approaches

A.A. BUDINI; A.K. CHATTAH; M.O. CÁCERES

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Institute of Physics (IOP)

Año: 1999 vol. 32 p. 631 - 646

For a quantum open system the so-called Schr¨odinger–Langevin picture has been revisited. In a second-order perturbation it is shown that a non-Markovian evolution for the stochastic state vector leads to a dissipative generator which has a Kossakowski–Lindblad form. In this context it is possible to analyse the completely positive condition. The equivalence of this picture with the trace-out technique in the weak coupling approximation has been proved.