Unlimited growth of particle fluctuations in many-body localized phases
Kiefer-Emmanouilidis M, Unanyan R, Fleischhauer M, Sirker J (2021)
Publication Type: Journal article
Publication year: 2021
Journal
Book Volume: 435
Article Number: 168481
DOI: 10.1016/j.aop.2021.168481
Abstract
We study quench dynamics in a t-V chain of spinless fermions (equivalent to the spin-1/2 Heisenberg chain) with strong potential disorder. For this prototypical model of many-body localization we have recently argued that – contrary to the established picture – particles do not become fully localized. Here we summarize and expand on our previous results for various entanglement measures such as the number and the Hartley number entropy. We investigate, in particular, possible alternative interpretations of our numerical data. We find that none of these alternative interpretations appear to hold and, in the process, discover further strong evidence for the absence of localization. Furthermore, we obtain more insights into the entanglement dynamics and the particle fluctuations by comparing with non-interacting systems where we derive several strict bounds. We find that renormalized versions of these bounds also hold in the interacting case where they provide support for numerically discovered scaling relations between number and entanglement entropies.
Involved external institutions
Germany (DE)
Canada (CA)How to cite
APA:
Kiefer-Emmanouilidis, M., Unanyan, R., Fleischhauer, M., & Sirker, J. (2021). Unlimited growth of particle fluctuations in many-body localized phases. Annals of Physics, 435. https://dx.doi.org/10.1016/j.aop.2021.168481
MLA:
Kiefer-Emmanouilidis, Maximilian, et al. "Unlimited growth of particle fluctuations in many-body localized phases." Annals of Physics 435 (2021).
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