Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap
arXiv:cond-mat/0411480 · doi:10.1103/PhysRevLett.94.176802
Abstract
We study an atomic Fermi gas interacting through repulsive contact forces in a one dimensional harmonic trap. Bethe-Ansatz solutions lead to an inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The equations of motion for charge and spin density waves are analyzed both near the trap center and near the trap edges. While the center shows conventional spin-charge separation the edges cause a giant increase of the separation between these modes.
arXiv comment4 pages, 2 figures
References in corpus (23)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- One-Dimensional Fermi liquids
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Landauer Conductance of Luttinger Liquids with Leads
- Exciting Collective Oscillations in a Trapped 1D Gas
- Transport in an inhomogeneous interacting one--dimensional system
- Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
- Tuning p-wave interactions in an ultracold Fermi gas of atoms
- Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
- All-Optical Production of a Degenerate Fermi Gas
- Resonant control of elastic collisions in an optically trapped Fermi gas of atoms
- A Waveguide for Bose-Einstein Condensates
- Spin-charge separation in ultra-cold quantum gases
- Applications of Integrated Magnetic Microtraps
- Quasi-one-dimensional Bose gases with large scattering length
- Dynamics of an ion chain in a harmonic potential
- Hydrodynamic Excitations in a Spin-Polarized Fermi Gas under Harmonic Confinement in One Dimension
- Atom-dimer scattering for confined ultracold fermion gases
- Fermi 1D quantum gas: Luttinger liquid approach and spin-charge separation
- Tomonaga-Luttinger parameters for quantum wires
- Luttinger model approach to interacting one-dimensional fermions in a harmonic trap
- Treatment of backscattering in a gas of interacting fermions confined to a one-dimensional harmonic atom trap
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- Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
- Spin-charge separation in two-component Bose-gases
- Spin Drag and Spin-Charge Separation in Cold Fermi Gases
- Simulating spin-charge separation with light
- Collective excitations of trapped one-dimensional dipolar quantum gases
- Density-functional theory of strongly correlated Fermi gases in elongated harmonic traps
- Phase diagram of harmonically confined one-dimensional fermions with attractive and repulsive interactions
- Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
- Collective excitations in one-dimensional ultracold Fermi gases: a comparative study
- Excitations in two-component Bose-gases
- Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
- Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
- Andreev-like reflections with cold atoms
- Features of spin-charge separation in the equilibrium conductance through finite rings
- Spin-drag relaxation time in one-dimensional spin-polarized Fermi gases
- Density profile of interacting Fermions in a one-dimensional optical trap
- Time-dependent current-density-functional theory of spin-charge separation and spin drag in one-dimensional ultracold Fermi gases
- Parametric resonance and spin-charge separation in 1D fermionic systems
- Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases
- Cold Fermi-gas with long range interaction in a harmonic trap
- Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study
- Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
- Dynamic response of interacting one-dimensional fermions in the harmonic atom trap: Phase response and the inhomogeneous mobility
- Conductance through strongly interacting rings in a magnetic field
- Spinons and Holons with Polarized Photons in a Nonlinear Waveguide