An observation of Tomonaga-Luttinger liquid in one-dimensional interacting Bose gases

It is a long standing challenge to observe quantum liquids in low-dimensional quantum systems. In this talk, I will present a fundamental understanding of universal low energy physics in one dimensional quantum systems, showing the origin of the Tomonaga-Luttinger liquid. Then I will further discuss an experimental observation of Tomonaga-Luttinger liquid in the Lieb-Linger model. \\ \noindent [1] Yang, et. al., Phys. Rev. Lett. 119, 165701 (2017)\\ \noindent [2] Jiang, et. al., Chinese Physics. B 24, 050311 (2015)\\ \noindent [3] Cheng, et. al., Phys. Rev. B 97, 121111(R) (2018)\\