Phase space hybrid theory of quantum measurement with nonlinear and stochastic dynamics

TL;DR

This paper introduces a new hybrid quantum-classical theory using constrained dynamical systems on phase space, providing a nonlinear stochastic framework that models quantum measurement collapse.

Contribution

It develops a novel hybrid theory that treats quantum and classical parts equally, incorporating stochastic dynamics to describe measurement collapse.

Findings

Successful dynamical description of quantum measurement collapse

Framework unifies quantum and classical descriptions on phase space

Incorporates effects of neglected degrees of freedom

Abstract

A novel theory of hybrid quantum-classical systems is developed, utilizing the mathematical framework of constrained dynamical systems on the quantum-classical phase space. Both, the quantum and the classical descriptions of the respective parts of the hybrid system are treated as fundamental. Therefore, the description of the quantum-classical interaction has to be postulated, and includes the effects of neglected degrees of freedom. Dynamical law of the theory is given in terms of nonlinear stochastic differential equations with Hamiltonian and gradient terms. The theory provides a successful dynamical description of the collapse during quantum measurement.