Transport measurements of majorization order for wave coherence

TL;DR

This paper explores how the majorization order can be used to compare wave coherence in transport phenomena, demonstrating that it is preserved under unitary control and affects measurement ranges.

Contribution

It introduces the application of majorization order to wave coherence in transport measurements and proves its preservation under unitary control, enabling experimental characterization.

Findings

Majorization order is preserved under unitary control in transport measurements.

Lower coherence waves have more restricted measurement value ranges.

The results deepen understanding of coherence effects in wave transport phenomena.

Abstract

We investigate the majorization order for comparing wave coherence and reveal its fundamental consequences in transport measurements, including power distribution, absorption, transmission, and reflection. We prove that all these measurements preserve the majorization order under unitary control, enabling direct experimental characterization of the majorization order. Specifically, waves with lower coherence in the majorization order exhibit more restricted ranges of achievable measurement values. Our results deepen the understanding of coherence in transport phenomena.