Fermi gases in one dimension: From Bethe ansatz to experiments

By X. Guan, M. Batchelor, Chaohong Lee. 2013

341 citations recorded by the source corpus.

This article reviews theoretical and experimental developments for one-dimensional Fermi gases. Specifically, the experimentally realized two-component delta-function interacting Fermi gas-the Gaudin-Yang model-and its generalizations to multicomponent Fermi systems with larger spin symmetries is discussed. The exact results obtained for Bethe ansatz integrable models of this kind enable the study of the nature and microscopic origin of a wide range of quantum many-body phenomena driven by spin population imbalance, dynamical interactions, and magnetic fields. This physics includes Bardeen-Cooper-Schrieffer-like pairing, Tomonaga-Luttinger liquids, spin-charge separation, Fulde-Ferrel-Larkin-Ovchinnikov-like pair correlations, quantum criticality and scaling, polarons, and the few-body physics of the trimer state (trions). The fascinating interplay between exactly solved models and experimental developments in one dimension promises to yield further insight into the exciting and fundamental physics of interacting Fermi systems.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/7c3df7b717613226b54343c39ecfdb8c41d901c6

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases (2016, methodology): “On the theory side, many exact results in 1D can be obtained by a blend of methods that comprises lattice integrability [12, 13] and non-perturbative field theory approaches, in particular 2D (1+1D) conformal field theory (CFT) [14,15] and integrable field theory [16].”