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arXiv · 1902.11295

Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows

Shane P. Kelly·Rahul Nandkishore·Jamir Marino
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Abstract

Inspired by recent experiments on many-body localized systems coupled to an environment, we apply a Flow Equation method to study the problem of a disorder chain of spinless fermions, coupled via density-density interactions to a second clean chain of spinless fermions. In particular, we focus on the conditions for the onset of a many-body localized phase in the clean sector of our model by proximity to the dirty one. We find that a many-body localization proximity effect in the clean component is established when the density of dirty fermions exceeds a threshold value. From the flow equation method we find that, similar to many-body localization in a single chain, the many-body localization proximity effect is also described by an extensive set of local integrals of motion. Furthermore, by tuning the geometry of the inter-chain couplings, we show that the dynamics of the model is ruled, on intermediate time scales, by an emergent set of quasi-conserved charges.

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Shane P. Kelly, Rahul Nandkishore, Jamir Marino. 2019-02-28. Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows. https://doi.org/10.1016/j.nuclphysb.2019.114886

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