Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms

Abstract

A simple set of algebraic equations is derived for the exact low-temperature thermodynamics of one-dimensional multi-component strongly attractive fermionic atoms with enlarged SU(N) spin symmetry and Zeeman splitting. Universal multi-component Tomonaga-Luttinger liquid (TLL) phases are thus determined. For linear Zeeman splitting, the physics of the gapless phase at low temperatures belongs to the universality class of a two-component asymmetric TLL corresponding to spin-neutral N-atom composites and spin-(N-1)/2 single atoms. The equation of states is also obtained to open up the study of multi-component TLL phases in 1D systems of N-component Fermi gases with population imbalance.

12 pages, 3 figures

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• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Phase Diagrams of Three-Component Attractive Ultracold Fermions in One-Dimension
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
• Universal low energy physics in one-dimensional multicompnent Fermi gases with a strongly repulsive $\delta$-function interaction
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