Decay of density waves in coupled one-dimensional many-body-localized systems

Peter Prelovšek

doi:10.1103/PhysRevB.94.144204

paper

Decay of density waves in coupled one-dimensional many-body-localized systems

arXiv:1606.04700 · doi:10.1103/PhysRevB.94.144204

Abstract

The behavior of coupled disordered one-dimensional systems, as modelled by identical fermionic Hubbard chains with the on-site potential disorder and coupling emerging through the inter-chain hopping $t^{'}$ , is analysed. The study is motivated by the experiment on fermionic cold atoms on a disordered lattice, where a decay rate of the quenched density wave was measured. We present a derivation of the decay rate $Γ$ within perturbation theory and show that even at large disorder along the chains the interaction leads to finite $Γ > 0$ , the mechanism being the interaction-induced coupling of in-chain localized and inter-chain extended single-fermion states. Explicit expressions for $Γ$ are presented for a weak interaction $U < t, t^{'}$ , but extended also to the regime $t > U > t^{'}$ . It is shown that in both regimes $Γ$ increases with the inter-chain hopping $t^{'}$ , as well as decreases with increasing disorder.

6 pages, 3 figures

Decay of density waves in coupled one-dimensional many-body-localized systems

Abstract

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