Short-Time Spin Dynamics in Strongly Correlated Few-Fermion Systems

Sebastiano Peotta, Davide Rossini, Pietro Silvi, G. Vignale, Rosario Fazio, and Marco Polini
Phys. Rev. Lett. 108, 245302 – Published 15 June 2012
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Abstract

The nonequilibrium 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. Because of 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 ultracold few-fermion systems in one-dimensional traps.

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  • Received 5 December 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.245302

© 2012 American Physical Society

Authors & Affiliations

Sebastiano Peotta1, Davide Rossini1, Pietro Silvi2, G. Vignale3, Rosario Fazio1, and Marco Polini4

  • 1NEST, Scuola Normale Superiore and Istituto di Nanoscienze-CNR, I-56126 Pisa, Italy
  • 2International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste, Italy
  • 3Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA
  • 4NEST, Istituto di Nanoscienze-CNR and Scuola Normale Superiore, I-56126 Pisa, Italy

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Issue

Vol. 108, Iss. 24 — 15 June 2012

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