Stable interaction-induced Anderson-like localization embedded in standing waves

• URL: http://arxiv.org/abs/2207.05320v2
• Date: Wed, 14 Sep 2022 11:49:32 GMT
• Title: Stable interaction-induced Anderson-like localization embedded in standing waves
• Authors: Na Zhang, Yongguan Ke, Ling Lin, Li Zhang, Chaohong Lee
• Abstract summary: We find the interaction-induced emphstable self-localization of bosons in disorder-free superlattices. We propose a scheme to detect self-localization, where long-time quantum walks of a single particle form a superposition of multiple standing waves.
• Score: 8.760432852008211
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We uncover the interaction-induced \emph{stable self-localization} of bosons in disorder-free superlattices. In these nonthermalized multi-particle states, one of the particles forms a superposition of multiple standing waves, so that it provides a quasirandom potential to localize the other particles. We derive effective Hamiltonians for self-localized states and find their energy level spacings obeying the Poisson statistics for Anderson-like localization. Surprisingly, we find that the correlated self-localization can be solely induced by interaction in the well-studied nonintegrable Bose-Hubbard models, which has been overlooked for a long time. We propose a dynamical scheme to detect self-localization, where long-time quantum walks of a single particle form a superposition of multiple standing waves for trapping the subsequently loaded particles. Our work provides an experimentally feasible way to realize stable Anderson-like localization in translation-invariant disorder-free systems.

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