Universal scaling of spin mixing dynamics in a strongly interacting one-dimensional Fermi gas

Abstract

We study the spin-mixing dynamics of a one-dimensional strongly repulsive Fermi gas under harmonic confinement. By employing a mapping onto an inhomogeneous isotropic Heisenberg model and the symmetries under particle exchange, we follow the dynamics till very long times. Starting from an initial spin-separated state, we observe superdiffusion, spin-dipolar large amplitude oscillations and thermalization. We report a universal scaling of the oscillations with particle number N^1/4, implying a slow-down of the motion and the decrease of the zero-temperature spin drag coefficient as the particle number grows.

10 pages, 7 figures

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• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Exact solution for $SU(2)$-symmetry breaking bosonic mixtures at strong interactions
• Symmetry oscillations in strongly interacting one-dimensional mixtures
• High-momentum oscillating tails of strongly interacting 1D gases in a box
• Dynamical probing of high-order spin coherence in one-dimensional mixtures
• Shortcut to spin dynamics for quantum mixtures
• Quantum chaos in a harmonic waveguide with scatterers
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Expansion of one-dimensional spinor gases from power-law traps