On a stochastic Trotter formula with application to spontaneous localization models

Abstract

We consider the relation between so called continuous localization models - i.e. non-linear stochastic Schrödinger evolutions - and the discrete GRW-model of wave function collapse. The former can be understood as scaling limit of the GRW process. The proof relies on a stochastic Trotter formula, which is of interest in its own right. Our Trotter formula also allows to complement results on existence theory of stochastic Schrödinger evolutions by Holevo and Mora/Rebolledo.

submitted to Journal of Statistical Physics

References in corpus (4)

• Dynamical Reduction Models
• Continuous quantum measurement and Itô formalism
• The Point Processes of the GRW Theory of Wave Function Collapse
• Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions

Cited by in corpus (5)

• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Bounds on Collapse Models from Matter-Wave Interferometry: Calculational details
• Bohmian Mechanics, Collapse Models and the emergence of Classicality
• Single particle energy diffusion from relativistic spontaneous localization
• Adiabatic theorem for a class of quantum stochastic equations