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arXiv · 1611.05713

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

M. Schecter·M. Shapiro·M. I. Dykman
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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.

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M. Schecter, M. Shapiro, M. I. Dykman. 2016-11-17. Localization Lifetime of a Many-Body System with Periodic Constructed Disorder. https://doi.org/10.1002/andp.201600366

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