Bohmian Mechanics, Collapse Models and the emergence of Classicality

TL;DR

This paper explores how classical trajectories emerge in Bohmian Mechanics through environmental interactions, demonstrating a connection to the GRW collapse model and deriving collapse processes from continuous quantum interactions.

Contribution

It shows that Bohmian trajectories become classical via environmental interactions and links collapse models to underlying continuous quantum interactions.

Findings

Bohmian trajectories evolve classically under environmental influence

Collapse models can be derived from continuous quantum interactions

The analysis bridges Bohmian Mechanics and collapse models

Abstract

We discuss the emergence of classical trajectories in Bohmian Mechanics (BM), when a macroscopic object interacts with an external environment. We show that in such a case the conditional wave function of the system follows a dynamics which, under reasonable assumptions, corresponds to that of the Ghirardi-Rimini-Weber (GRW) collapse model. As a consequence, Bohmian trajectories evolve classically. Our analysis also shows how the GRW (istantaneous) collapse process can be derived by an underlying continuous interaction of a quantum system with an external agent, thus throwing a light on how collapses can emerge from a deeper level theory.