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

Article Article scientifique Article Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows eng 2020 author Kelly Shane P. author Nandkishore Rahul author Marino Jamir 884609 114886 10.1016/j.nuclphysb.2019.114886 0550-3213 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. Dewey 500.2 Open Access - SCOAP3 34 Département de physique nucléaire et corpusculaire 132 false Nuclear Physics. B 951 f985664e-5350-4925-877f-edae1c2629fd Article (Published version) Public j.nuclphysb.2019.114886.pdf 595552 application/pdf CC BY openAccess Faculté des sciences / Section de physique / Département de physique nucléaire et corpusculaire

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Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows	Nuclear Physics. B			2020	364	1,250

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Marino, Jamir