Collapse models with nonwhite noises: II. Particledensity coupled noises
Abstract
We continue the analysis of models of spontaneous wavefunction collapse with stochastic dynamics driven by nonwhite Gaussian noise. We specialize to a model in which a classical 'noise' field, with specified autocorrelator, is coupled to a local nonrelativistic particle density. We derive general results in this model for the rates of density matrix diagonalization and of state vector reduction, and show that (in the absence of decoherence) both processes are governed by essentially the same rate parameters. As an alternative route to our reduction results, we also derive the FokkerPlanck equations that correspond to the initial stochastic Schrödinger equation. For specific models of the noise autocorrelator, including ones motivated by the structure of thermal Green's functions, we discuss the qualitative and quantitative dependence on model parameters, with particular emphasis on possible cosmological sources of the noise field.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 October 2008
 DOI:
 10.1088/17518113/41/39/395308
 arXiv:
 arXiv:0807.2846
 Bibcode:
 2008JPhA...41M5308A
 Keywords:

 Quantum Physics
 EPrint:
 Latex, 43 pages