Scaling law and stability for a noisy quantum system

TL;DR

This paper discovers a scaling law governing the dynamics of noisy cold kicked atoms near resonance, supported by theoretical analysis, simulations, and experimental data.

Contribution

It introduces a new scaling law for noisy quantum systems and demonstrates its validity through combined theoretical, numerical, and experimental approaches.

Findings

Existence of a scaling law for noisy quantum dynamics

Validation of the scaling law via quantum simulations

Agreement with experimental observations

Abstract

We show that a scaling law exists for the near resonant dynamics of cold kicked atoms in the presence of a randomly fluctuating pulse amplitude. Analysis of a quasi-classical phase-space representation of the quantum system with noise allows a new scaling law to be deduced. The scaling law and associated stability are confirmed by comparison with quantum simulations and experimental data.