The stochastic limit of quantum spin systems
Quantum Physics
2009-10-31 v1
Abstract
The stochastic limit for the system of spins interacting with a boson field is investigated. In the finite volume an application of the stochastic golden rule shows that in the limit the dynamics of a quantum system is described by a quantum white noise equation that after taking of normal order is equivalent to quantum stochastic differential equation (QSDE). For the quantum Langevin equation the dynamics is well defined and is a quantum flow on the infinite lattice system.
Cite
@article{arxiv.quant-ph/9911077,
title = {The stochastic limit of quantum spin systems},
author = {L. Accardi and S. V. Kozyrev},
journal= {arXiv preprint arXiv:quant-ph/9911077},
year = {2009}
}
Comments
11 pages, LaTeX 2.09