Collapse models with nonwhite noises
Abstract
We set up a general formalism for models of spontaneous wavefunction collapse with dynamics represented by a stochastic differential equation driven by general Gaussian noises, not necessarily white in time. In particular, we show that the nonSchrödinger terms of the equation induce the collapse of the wavefunction to one of the common eigenstates of the collapsing operators, and that the collapse occurs with the correct quantum probabilities. We also develop a perturbation expansion of the solution of the equation with respect to the parameter which sets the strength of the collapse process; such an approximation allows one to compute the leadingorder terms for the deviations of the predictions of collapse models with respect to those of standard quantum mechanics. This analysis shows that to leading order, the 'imaginary noise' trick can be used for nonwhite Gaussian noise.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 December 2007
 DOI:
 10.1088/17518113/40/50/012
 arXiv:
 arXiv:0708.3624
 Bibcode:
 2007JPhA...4015083A
 Keywords:

 Quantum Physics
 EPrint:
 Latex, 20 pages