Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap

Abstract

We investigate thermodynamics and quantum criticality of strongly attractive Fermi gases confined in a one-dimensional (1D) harmonic trap. Finite temperature density profiles, entropy, compressibility and susceptibility of the trapped gas are studied using analytic results for the thermodynamics within the local density approximation. We demonstrate that current experiments are capable of measuring universal Tomonaga-Luttinger liquid physics and quantum criticality of 1D strongly interacting Fermi gases. The results provide insights on recent measurements of key features of the phase diagram of a spin-imbalanced atomic Fermi gas [Liao et al., Nature 467, 567 (2010)] and point to further study of quantum critical phenomena in ultracold atomic Fermi gases.

4 pages, 4 new figures, revised version

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Cited by in corpus (11)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Quantum Criticality of 1D Attractive Fermi Gas
• Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• Quantum criticality of a one-dimensional Bose-Fermi mixture
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
• Anomalous Flux Quantization in the Spin-Imbalanced Attractive Hubbard Ring
• Matter wave interference of dilute Bose gases in the critical regime