Lieb-Robinson bound for constrained many-body localization

Chun Chen; Xiaoqun Wang; Yan Chen

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arXiv · 2011.11363

Lieb-Robinson bound for constrained many-body localization

Chun Chen·Xiaoqun Wang·Yan Chen

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Abstract

Study how quantum information propagates through spacetime manifold provides a means of identifying, distinguishing, and classifying novel phases of matter fertilized by many-body effects in strongly interacting systems in and out of equilibrium. Via a fuller characterization of key aspects regarding dynamic behaviors of information, we perform such an analysis on constrained many-body localization -- a newly proposed fully localized state under infinite-interaction limit -- in quasirandom Rydberg blockade spin chain models using thermal out-of-time-order commutators (OTOCs). The OTOC light cones predict a hitherto unknown Lieb-Robinson bound for constrained many-body localization, which is qualitatively different from that of unconstrained many-body Anderson insulators stabilized at weak-interaction limit. Our corroborated numeric and analytic study suggests that constrained many-body localization is a distinct dynamical eigenstate phase whose nonergodicity is beyond local-integral-of-motion phenomenology. Together, these findings consolidate the hierarchy of unconventional quantum dynamics encompassing constrained, unconstrained, and diagonal many-body-localized regimes.

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cond-mat.dis-nn cond-mat.quant-gas cond-mat.stat-mech cond-mat.str-el

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Chun Chen, Xiaoqun Wang, Yan Chen. 2020-11-23. Lieb-Robinson bound for constrained many-body localization. https://arxiv.org/abs/2011.11363

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