Having been introduced in the field of many bodies of statistical mechanics, the Yang–Baxter equation has become an important tool in a variety of 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.
© 2013 Optical Society of America
Original Manuscript: February 12, 2013
Manuscript Accepted: March 25, 2013
Published: May 27, 2013
Chao Zheng, Jun-lin Li, Si-yu Song, and Gui Lu Long, "Direct experimental simulation of the Yang–Baxter equation," J. Opt. Soc. Am. B 30, 1688-1693 (2013)