Interaction-Tuned Dynamical Transitions in a Rashba Spin-Orbit Coupled Fermi Gas

Abstract

We consider the time evolution of the magnetization in a Rashba spin-orbit-coupled Fermi gas, starting from a fully-polarized initial state. We model the dynamics using a Boltzmann equation, which we solve in the Hartree-Fock approximation. The resulting non-linear system of equations gives rise to three distinct dynamical regimes with qualitatively different asymptotic behaviors of the magnetization at long times. The distinct regimes and the transitions between them are controlled by the interaction strength: for weakly interacting fermions, the magnetization decays to zero. For intermediate interactions, it displays undamped oscillations about zero and for strong interactions, a partially magnetized state is dynamically stabilized. The dynamics we find is a spin analog of interaction induced self-trapping in double-well Bose Einstein condensates. The predicted phenomena can be realized in trapped Fermi gases with synthetic spin-orbit interactions.

5 pages, 3 figures

References in corpus (13)

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Cited by in corpus (7)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Observing Properties of an Interacting Homogeneous Bose--Einstein Condensate: Heisenberg-Limited Momentum Spread, Interaction Energy and Free-Expansion Dynamics
• Probing Ferromagnetic Order in Few-Fermion Correlated Spin-Flip Dynamics
• Spin measurements and control of cold atoms using spin-orbit fields
• Spin diffusion in ultracold spin-orbit coupled ${}^{40}$K gas
• Quantum Spin Dynamics in a Normal Bose Gas with Spin-orbit Coupling
• Spin Hall mode in a trapped thermal Rashba gas