Quantum criticality and the Tomonaga-Luttinger liquid in one-dimensional Bose gases

Bing Yang, Yang Yang Chen, Yong Guang Zheng, Hui Sun, Han Ning Dai, Xi Wen Guan, Zhen Sheng Yuan, Jian Wei Pan

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    72 Citations (Scopus)

    Abstract

    We experimentally investigate the quantum criticality and Tomonaga-Luttinger liquid (TLL) behavior within one-dimensional (1D) ultracold atomic gases. Based on the measured density profiles at different temperatures, the universal scaling laws of thermodynamic quantities are observed. The quantum critical regime and the relevant crossover temperatures are determined through the double-peak structure of the specific heat. In the TLL regime, we obtain the Luttinger parameter by probing sound propagation. Furthermore, a characteristic power-law behavior emerges in the measured momentum distributions of the 1D ultracold gas, confirming the existence of the TLL.

    Original languageEnglish
    Article number165701
    JournalPhysical Review Letters
    Volume119
    Issue number16
    DOIs
    Publication statusPublished - 18 Oct 2017

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