Parametric resonance and spin-charge separation in 1D fermionic systems

TL;DR

This paper demonstrates how periodic modulation in 1D fermionic systems can amplify bosonic modes, revealing spin-charge separation through momentum distribution measurements, with potential applications in cold atom experiments.

Contribution

It introduces a method to use parametric modulation to amplify collective modes and detect spin-charge separation in 1D fermionic systems within the Luttinger liquid framework.

Findings

Periodic modulation amplifies charge and spin density waves.

Fermionic momentum distribution reveals spin-charge separation.

Method applicable to cold atom experiments with optical lattices.

Abstract

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.