Short-time Spin Dynamics in Strongly Correlated Few-fermion Systems

Abstract

The non-equilibrium spin dynamics of a one-dimensional system of repulsively interacting fermions is studied by means of density-matrix renormalization-group simulations. We focus on the short-time decay of the oscillation amplitudes of the centers of mass of spin-up and spin-down fermions. Due to many-body effects, the decay is found to evolve from quadratic to linear in time, and eventually back to quadratic as the strength of the interaction increases. The characteristic rate of the decay increases linearly with the strength of repulsion in the weak-coupling regime, while it is inversely proportional to it in the strong-coupling regime. Our predictions can be tested in experiments on tunable ultra-cold few-fermion systems in one-dimensional traps.

10 pages, 12 figures, 4 appendices, final version accepted in PRL; main text and supplementary material merged in a single PRB style document

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Cited by in corpus (7)

• Hydrodynamics of cold atomic gases in the limit of weak nonlinearity, dispersion and dissipation
• Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
• Quantum Shock Waves and Population Inversion in Collisions of Ultracold Atomic Clouds
• Universal scaling of spin mixing dynamics in a strongly interacting one-dimensional Fermi gas
• Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas
• Collision of one-dimensional fermion clusters
• Drag dynamics in one-dimensional Fermi systems