# Quantum Diffusions, Quantum Dissipation and Spin Relaxation

 Authors: N Gisin, M B Cibils Journal of Physics A-mathematical and General 25, 5165–5176 (1992) @@doi@@ We develop the tool of quantum diffusion (i.e. Hilbert-space-valued stochastic differential equations) for dissipative quantum systems. The aims are to find possible limitations to this approach and to investigate new pictures of open quantum systems. We are guided by the relaxation process for arbitrary spin and the associated natural rotational symmetry. We also impose the condition that the spin-coherent states remain coherent during the dissipative evolution. We present a new quantum diffusion equation that satisfies the above conditions and that is the unique quantum diffusion satisfying Percival's condition (dpsi)2 = 0. qsdcibil.pdf

# BibTeX Source

@ARTICLE{Gisin1992a,
author = {Gisin, N. and Cibils, M. B.},
title = {Quantum Diffusions, Quantum Dissipation and Spin Relaxation},
journal = {Journal of Physics A-mathematical and General},
year = {1992},
volume = {25},
pages = {5165--5176},
number = {19},
abstract = {We develop the tool of quantum diffusion (i.e. Hilbert-space-valued
stochastic differential equations) for dissipative quantum systems.
The aims are to find possible limitations to this approach and to
investigate new pictures of open quantum systems. We are guided by
the relaxation process for arbitrary spin and the associated natural
rotational symmetry. We also impose the condition that the spin-coherent
states remain coherent during the dissipative evolution. We present
a new quantum diffusion equation that satisfies the above conditions
and that is the unique quantum diffusion satisfying Percival's condition
(dpsi)2 = 0. },
owner = {cc},
sn = {0305-4470},
timestamp = {2010.08.20},
ut = {WOS:A1992JT69100024}
}