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arXiv · 1410.7407

Quasi Many-body Localization in Translation Invariant Systems

N. Y. Yao·C. R. Laumann·J. I. Cirac·M. D. Lukin·J. E. Moore
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Abstract

It is typically assumed that disorder is essential to realize Anderson localization. Recently, a number of proposals have suggested that an interacting, translation invariant system can also exhibit localization. We examine these claims in the context of a one-dimensional spin ladder. At intermediate time scales, we find slow growth of entanglement entropy consistent with the phenomenology of many-body localization. However, at longer times, all finite wavelength spin polarizations decay in a finite time, independent of system size. We identify a single length scale which parametrically controls both the eventual spin transport times and the divergence of the susceptibility to spin glass ordering. We dub this long pre-thermal dynamical behavior, intermediate between full localization and diffusion, quasi-many body localization.

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N. Y. Yao, C. R. Laumann, J. I. Cirac, M. D. Lukin, J. E. Moore. 2014-10-27. Quasi Many-body Localization in Translation Invariant Systems. https://doi.org/10.1103/physrevlett.117.240601

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