Dynamical Objectivity in Quantum Brownian Motion

TL;DR

This paper demonstrates how classical objectivity emerges dynamically in quantum systems through spectrum broadcast structures in quantum Brownian motion, providing insights into the quantum-to-classical transition.

Contribution

It introduces a method to describe objective states of motion in quantum mechanics within realistic thermal environments, extending the concept of spectrum broadcast structures.

Findings

Objective states of motion form in quantum Brownian motion

Spectrum broadcast structures are robust against environmental noise

Provides a new approach to study quantum-classical transition

Abstract

Classical objectivity as a property of quantum states---a view proposed to explain the observer-independent character of our world from quantum theory, is an important step in bridging the quantum-classical gap. It was recently derived in terms of spectrum broadcast structures for small objects embedded in noisy photon-like environments. However, two fundamental problems have arisen: a description of objective motion and applicability to other types of environments. Here we derive an example of objective states of motion in quantum mechanics by showing a formation of dynamical spectrum broadcast structures in the celebrated, realistic model of decoherence---Quantum Brownian Motion. We do it for realistic, thermal environments and show their noise-robustness. This opens a potentially new method of studying quantum-to-classical transition.