Quantum Diffusions, Quantum Dissipation and Spin Relaxation

Authors:N Gisin, M B Cibils
Journal:Journal of Physics A-mathematical and General 25, 5165–5176 (1992)
DOI:@@doi@@
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.
File: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}
}