Observation of Quantum Criticality and Luttinger Liquid in One-dimensional Bose Gases

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.

to appear in PRL

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• A one-dimensional liquid of fermions with tunable spin
• Bosonizing one-dimensional cold atomic gases
• Quantum Criticality
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Strong saturation absorption imaging of dense clouds of ultracold atoms
• Critical Behavior of a Trapped Interacting Bose Gas
• Thermodynamics of the Spin Luttinger-Liquid in a Model Ladder Material
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems

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