Integrability in Ultracold Physics

Integrable systems can be found in different areas of Physics, such as statistical mechanics, quantum field theory, condensed matter, string theory and more recently in cold atoms. Here we provide an overview of the  basic construction and the impact of quantum integrable models  in ultracold atoms. We also discuss a general construction of integrable models for boson tunneling in multi-well systems and as an application we show how to engineer an atomtronic switching device by exploring the triple well model [1]. 

[1] K. Wittmann, L. Ymai, A. Tonel, J. Links and A. Foerster

Communications Physics (Nature) 1, Article number: 91 (2018)