Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions

Abstract

The highly controllable ultracold atoms in a one-dimensional (1D) trap provide a new platform for the ultimate simulation of quantum magnetism. In this regard, the Neel-antiferromagnetism and the itinerant ferromagnetism are of central importance and great interest. Here we show that these magnetic orders can be achieved in the strongly interacting spin-1/2 trapped Fermi gases with additional p-wave interactions. In this strong coupling limit, the 1D trapped Fermi gas exhibit an effective Heisenberg spin XXZ chain in the anisotropic p-wave scattering channels. For a particular p-wave attraction or repulsion within the same species of fermionic atoms, the system displays ferromagnetic domains with full spin segregation or the anti-ferromagnetic spin configuration in the ground state. Such engineered magnetisms are likely to be probed in a quasi-1D trapped Fermi gas of ${}^{40}$ K atoms with very close s-wave and p-wave Feshbach resonances.

5 pages, 3 figures, final version

References in corpus (20)

• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Evidence for universal relations describing a gas with $p$-wave interactions
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Magnetism in strongly interacting one-dimensional quantum mixtures
• Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
• Two-flavor mixture of a few fermions of different mass in a one-dimensional harmonic trap
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Zero-Temperature Equation of State and Phase Diagram of Repulsive Fermionic Mixtures

Cited by in corpus (30)

• Colloquium: Atomic spin chains on surfaces
• One-dimensional mixtures of several ultracold atoms: a review
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
• Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
• SU(N) Fermions in a One-Dimensional Harmonic Trap
• Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a p-wave Feshbach resonance
• Probing open- and closed-channel p-wave resonances
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Universal Feature in Optical Control of a p-wave Feshbach Resonance
• Majorana edge state in a number-conserving Fermi gas with tunable p-wave interaction
• Quantum Monte Carlo study of the role of p-wave interactions in ultracold repulsive Fermi gases
• Dynamical realization of magnetic states in a strongly interacting Bose mixture
• Variational ansatz for $p$-wave fermions confined in a one-dimensional harmonic trap
• Effects of interaction imbalance in a strongly repulsive one-dimensional Bose gas
• Tuning an effective spin chain of three strongly interacting one-dimensional fermions with the transversal confinement
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Mobile Spin Impurity in an Optical Lattice
• Exchange interactions in the Hubbard-Stratonovich transformation for the stability analysis of itinerant ferromagnetism
• Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps
• Collective P-Wave Orbital Dynamics of Ultracold Fermions
• One-dimensional two-component fermions with contact even-wave repulsion and SU(2) breaking near-resonant odd-wave attraction
• Itinerant ferromagnetism in the repulsive Hubbard chain with anisotropic odd-wave attraction
• Interaction-induced Bloch Oscillation in a Harmonically Trapped and Fermionized Quantum Gas in One Dimension
• Local manipulation of quantum magnetism in 1D ultracold Fermi gases across narrow resonances
• Resonance-facilitated three-channel p-wave scattering
• Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Generation of spin currents by a temperature gradient in a two-terminal device