Spin-Energy Correlation in Degenerate Weakly-Interacting Fermi Gases

Abstract

Weakly interacting Fermi gases exhibit rich collective dynamics in spin-dependent potentials, arising from correlations between spin degrees of freedom and conserved single atom energies, offering broad prospects for simulating many-body quantum systems by engineering energy-space "lattices," with controlled energy landscapes and site to site interactions. Using quantum degenerate clouds of ${}^6$Li, confined in a spin-dependent harmonic potential, we measure complex, time-dependent spin-density profiles, varying on length scales much smaller than the cloud size. We show that a one-dimensional mean field model, without additional simplifying approximations, quantitatively predicts the observed fine structure. We measure the magnetic fields where the scattering lengths vanish for three different hyperfine state mixtures to provide new constraints on the collisional (Feshbach) resonance parameters.

arXiv commentNew version corrected for minor typing errors. No change in content or conclusions

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Cited by in corpus (9)

• Theory of Non-Interacting Fermions and Bosons in the Canonical Ensemble
• Observing spin-squeezed states under spin-exchange collisions for a second
• Energy-Resolved Information Scrambling in Energy-Space Lattices
• Interplay of phase separation and itinerant magnetism for correlated few fermions in a double-well
• Simulating fermions in spin-dependent potentials with spin models on an energy lattice
• Verifying a quasi-classical spin model of perturbed quantum rewinding in a Fermi gas
• Collective dynamical Fermi suppression of optically-induced inelastic scattering
• Vortices in Fermi gases with spin-dependent rotation potentials
• Chirality-Induced Spin Currents in a Fermi Gas