Direct Experimental Simulation of the Yang-Baxter Equation

TL;DR

This paper reports the first direct experimental simulation of the Yang-Baxter equation using linear quantum optics, demonstrating the equality of both sides and confirming spectral parameter transformation.

Contribution

It provides the first experimental verification of the Yang-Baxter equation in a two-dimensional quantum optical system.

Findings

Successful demonstration of the Yang-Baxter equation equality

Explicit confirmation of spectral parameter transformation

Pioneering use of linear quantum optics for this purpose

Abstract

Introduced in the field of many-body statistical mechanics, Yang-Baxter equation has become an important tool in a variety fields of physics. In this work, we report the first direct experimental simulation of the Yang-Baxter equation using linear quantum optics. The equality between the two sides of the Yang-Baxter equation in two dimension has been demonstrated directly, and the spectral parameter transformation in the Yang-Baxter equation is explicitly confirmed.