Under which conditions is quantum brownian motion observable in a microscope?

TL;DR

This paper explores the specific conditions necessary to observe quantum brownian motion in microscopic experiments, focusing on the required measurement accuracy and the quantum-classical crossover.

Contribution

It provides a theoretical analysis of quantum brownian motion in an ohmic bath and estimates the experimental precision needed to detect quantum effects.

Findings

Identifies conditions for observing quantum brownian motion

Estimates temporal and spatial measurement accuracy needed

Analyzes quantum-classical crossover in microscopic systems

Abstract

We investigate under which conditions we can expect to observe quantum brownian motion in a microscope. Using the fluctuation-dissipation theorem, we investigate quantum brownian motion in an ohmic bath, and estimate temporal and spatial accuracy required to observe a crossover from classical to quantum behavior.