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

Published inNuclear Physics. B, vol. 951, 114886
Collection
  • Open Access - SCOAP3
Publication date2020
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.

Citation (ISO format)
KELLY, Shane P., NANDKISHORE, Rahul, MARINO, Jamir. Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows. In: Nuclear Physics. B, 2020, vol. 951, p. 114886. doi: 10.1016/j.nuclphysb.2019.114886
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Article (Published version)
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ISSN of the journal0550-3213
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