Collective mode evidence of high-spin bosonization in a trapped one-dimensional atomic Fermi gas with tunable spin

Abstract

We calculate the frequency of collective modes of a one-dimensional repulsively interacting Fermi gas with high-spin symmetry confined in harmonic traps at zero temperature. This is a system realizable with fermionic alkaline-earth-metal atoms such as ${}^{173}$Yb, which displays an exact SU($\kappa$) spin symmetry with $\kappa ⩾2$ and behaves like a spinless interacting Bose gas in the limit of infinite spin components $\kappa \to \infty$, namely high-spin bosonization. We solve the homogeneous equation of state of the high-spin Fermi system by using Bethe ansatz technique and obtain the density distribution in harmonic traps based on local density approximation. The frequency of collective modes is calculated by exactly solving the zero-temperature hydrodynamic equation. In the limit of large number of spin-components, we show that the mode frequency of the system approaches to that of a one-dimensional spinless interacting Bose gas, as a result of high-spin bosonization. Our prediction of collective modes is in excellent agreement with a very recent measurement for a Fermi gas of ${}^{173}$Yb atoms with tunable spin confined in a two-dimensional tight optical lattice.

arXiv comment11 pages, 8 figures

References in corpus (18)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• A one-dimensional liquid of fermions with tunable spin
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Degenerate Fermi Gases of Ytterbium
• Collective oscillations of a 1D trapped Bose gas
• Realization of SU(2)*SU(6) Fermi System
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
• Interacting fermions in quasi-one-dimensional harmonic traps
• Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap

Cited by in corpus (1)

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