Localization Lifetime of a Many-Body System with Periodic Constructed Disorder

TL;DR

This paper demonstrates that in a many-body system, particles can remain localized for a long time by constructing a periodic sequence of site energies, with the lifetime scaling independently of particle number.

Contribution

It introduces a method to achieve long localization lifetimes in many-body systems through periodic site energy sequences, independent of particle count.

Findings

Localization lifetime scales as a high power of energy bandwidth to hopping ratio.

Long localization times are achieved with periodic site energy sequences.

Numerical calculations confirm the analytical predictions.

Abstract

We show that, in a many-body system, all particles can be strongly confined to the initially occupied sites for a time that scales as a high power of the ratio of the bandwidth of site energies to the hopping amplitude. Such time-domain formulation is complementary to the formulation of the many-body localization of all stationary states with a large localization length. The long localization lifetime is achieved by constructing a periodic sequence of site energies with a large period in a one-dimensional chain. The scaling of the localization lifetime is independent of the number of particles for a broad range of the coupling strength. The analytical results are confirmed by numerical calculations.