4.3 Article

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

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NUCLEAR PHYSICS B
卷 951, 期 -, 页码 -

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ELSEVIER
DOI: 10.1016/j.nuclphysb.2019.114886

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资金

  1. European Union [745608]
  2. National Science Foundation [NSF PHY-1748958]
  3. Air Force Office of Scientific Research [FA 9550-17-1-0183]
  4. UC Office of the President through the UC Laboratory Fees Research Program [LGF-17-476883]
  5. National Nuclear Security Administration of the U.S. Department of Energy [89233218CNA000001]
  6. Marie Curie Actions (MSCA) [745608] Funding Source: Marie Curie Actions (MSCA)

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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. (C) 2019 The Author(s). Published by Elsevier B.V.

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