Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows
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 th...
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| Veröffentlicht in: | Nuclear physics. B 2020-02, Vol.951 (C), p.114886, Article 114886 |
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| creator | Kelly, Shane P. Nandkishore, Rahul Marino, Jamir |
| description | 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. |
| doi_str_mv | 10.1016/j.nuclphysb.2019.114886 |
| format | Article |
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| subjects | Physical Sciences Physics Physics, Particles & Fields Science & Technology |
| title | Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows |
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