Parametric resonance and spin-charge separation in 1D fermionic systems
Dahlem Center for Complex Quantum Systems & Fachbereich Physik, Freie Universität Berlin D-14195 Berlin, Germany, EU
2 Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504 CNRS-UdS F-67034 Strasbourg, France, EU
3 School of Physics, University of Exeter - Stocker Road, Exeter, EX4 4QL, UK, EU
Accepted: 2 February 2010
We show that the periodic modulation of the Hamiltonian parameters for 1D correlated fermionic systems can be used to parametrically amplify their bosonic collective modes. Treating the problem within the Luttinger-liquid picture, we show how charge and spin density waves with different momenta are simultaneously amplified. We discuss the implementation of our predictions for cold atoms in 1D modulated optical lattices, showing that the fermionic momentum distribution directly provides a clear signature of spin-charge separation.
PACS: 03.75.-b – Matter waves / 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 73.22.Lp – Collective excitations
© EPLA, 2010