Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap
arXiv:0709.2273 · doi:10.1103/PhysRevA.77.013622
Abstract
Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound clusters or molecules that consist of more than two particles. Here we present a detailed study of a strongly interacting multi-component Fermi gas in a highly elongated or quasi-one-dimensional harmonic trap, which could be readily obtained in experiment. By using the exact Bethe ansatz solution and a local density approximation treatment of the harmonic trap, we investigate the equation of state of the multi-component Fermi gas in both a homogeneous and trapped environment, as well as the density profiles and low-energy collective modes. The binding energy of multi-component bound clusters is also given. We show that there is a peak in the collective mode frequency at the critical density for a deconfining transition to a many-body state that is analogous to the quark color superconductor state expected in neutron stars.
14 pages, 9 figures
References in corpus (45)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Formation and Propagation of Matter Wave Soliton Trains
- Observation of resonance condensation of fermionic atom pairs
- Formation of a Matter-Wave Bright Soliton
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
- Evidence for Efimov quantum states in an ultracold gas of cesium atoms
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Pairing and Phase Separation in a Polarized Fermi Gas
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
- On the Phase Diagram of QCD
- The QCD thermal phase transition in the presence of a small chemical potential
- Exciting Collective Oscillations in a Trapped 1D Gas
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- The BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
- Molecular Probe of Pairing in the BEC-BCS Crossover
- Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
- Thermodynamics of the BCS-BEC crossover
- Ultracold fermions and the SU(N) Hubbard model
- Fermi systems with long scattering lengths
- Collective oscillations of a 1D trapped Bose gas
- Precise determination of Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
- Phase diagram of a strongly interacting polarized Fermi gas in one dimension
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
- Competing orders in one dimensional spin 3/2 fermionic systems
- Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
- Universal thermodynamics of strongly interacting Fermi gases
- Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
- Superfluidity and magnetism in multicomponent ultracold fermions
- Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
- Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
- Interacting fermions in quasi-one-dimensional harmonic traps
- BCS pairing in Fermi systems with several flavors
- Pairing in a three component Fermi gas
- Superfluidity in a Three-flavor Fermi Gas with SU(3) Symmetry
- Hydrodynamic Excitations in a Spin-Polarized Fermi Gas under Harmonic Confinement in One Dimension
- Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
- Pair condensation and bound states in fermionic systems
- Superfluidity in Three-species Mixture of Fermi Gases across Feshbach Resonances
- Exact results for the 1D interacting Fermi gas with arbitrary polarization
- Co-existence and shell structures of several superfluids in trapped three-component Fermi mixtures
- Three-fermion problems in optical lattices
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- Fermi gases in one dimension: From Bethe Ansatz to experiments
- A one-dimensional liquid of fermions with tunable spin
- Three-body recombination in a three-state Fermi gas with widely tunable interactions
- Evidence for Ground- and Excited-State Efimov Trimers in a Three-State Fermi Gas
- Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
- The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
- Three-Component Fermi Gas in a one-dimensional Optical Lattice
- Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
- Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement
- Breached pairing in trapped three-color atomic Fermi gases
- One-dimensional multicomponent Fermi gas in a trap: quantum Monte Carlo study
- Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms
- Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
- Superfluid density and collective modes of fermion superfluid in dice lattice
- Theory of Fermionic superfluid with SU(2)xSU(6) symmetry
- Stability of Inhomogeneous Multi-Component Fermi Gases
- Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance
- Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
- Three component fermion pairing in two dimensions
- Phase Diagrams of Three-Component Attractive Ultracold Fermions in One-Dimension
- Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
- Josephson effect in an atomic Fulde-Ferrell-Larkin-Ovchinnikov superfluid
- Classical and quantum analysis of a heterotriatomic molecular Bose-Einstein-condensate model
- Collective mode evidence of high-spin bosonization in a trapped one-dimensional atomic Fermi gas with tunable spin
- Probing the critical exponent of superfluid fraction in a strongly interacting Fermi gas
- Pairing fluctuation effects in a strongly coupled color superfluid/superconductor
- Density profiles and density oscillations of an interacting three-component normal Fermi gas
- Impurity immersed in a two-component few-fermion mixture in a one-dimensional harmonic trap