Spin dynamics in a spin-orbit coupled Fermi gas

Abstract

We study the dynamics of a non-degenerate, harmonically trapped Fermi gas following a sudden ramp of the spin-orbit coupling strength. In the non-interacting limit, we solve the Boltzmann equation in the presence of spin orbit coupling analytically, and derive expressions for the dynamics of an arbitrary initial spin state. In particular we show that for a fully spin polarized initial state, the total magnetization exhibits collapse and revival dynamics in time with a period set by the trapping potential. In real space, this corresponds to oscillations between a fully polarized state and a spin helix. We numerically study the effect of interactions on the dynamics using a collisionless Boltzmann equation.

8 pages, 3 figures Expanded to include discussion of dynamics in the presence of a Zeeman field, rewritten section with interactions

References in corpus (17)

• Many-Body Physics with Ultracold Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Emergence of the persistent spin helix in semiconductor quantum wells
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• A Raman-induced Feshbach resonance in an effectively single-component Fermi gas
• Non-equilibrium spin dynamics in a trapped Fermi gas with effective spin-orbit interaction
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Transport equations for a two-dimensional electron gas with spin-orbit interaction
• Observation of Anomalous Spin Segregation in a Trapped Fermi Gas
• Chaos-driven dynamics in spin-orbit coupled atomic gases
• Magnetic field dependence of Raman coupling in Alkali atoms
• Diffusive-Ballistic Crossover and the Persistent Spin Helix

Cited by in corpus (11)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Probing Ferromagnetic Order in Few-Fermion Correlated Spin-Flip Dynamics
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Von Neumann spin measurements with Rashba fields
• Demagnetization dynamics of non-interacting trapped fermions
• Spin relaxation in ultracold spin-orbit coupled ${}^{40}$K gas
• Spin measurements and control of cold atoms using spin-orbit fields
• Interaction-Tuned Dynamical Transitions in a Rashba Spin-Orbit Coupled Fermi Gas
• 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