Direct experimental simulation of the Yang–Baxter equation

Chao Zheng, Junlin Li, Siyu Song, Gui Lu Long · Journal of the Optical Society of America B · 2013

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.

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