Planckian Bounds From Local Uncertainty Relations

TL;DR

This paper introduces local uncertainty relations in thermal many-body systems to derive fundamental quantum bounds, including universal speed limits and transport coefficient bounds, which are validated against experimental data.

Contribution

It presents a novel framework of local uncertainty relations that establish fundamental bounds in quantum many-body systems, independent of interaction range.

Findings

Derived universal non-relativistic speed limits.

Established bounds on transport coefficients like diffusion and viscosity.

Validated bounds through comparison with experimental data.

Abstract

We introduce ``local uncertainty relations'' in thermal many-body systems, from which fundamental bounds in quantum systems can be derived. These lead to universal non-relativistic speed limits (independent of interaction range) and transport coefficient bounds (e.g., those of the diffusion constant and viscosity) that are compared against experimental data.