Interaction-induced lattices for bound states: Designing flat bands, quantized pumps, and higher-order topological insulators for doublons

Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine interaction-induced geometric and topological effects can be rea...

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Bibliographic Details
Published in:Physical review research 2020-03, Vol.2 (1), p.013348, Article 013348
Main Authors: Salerno, G., Palumbo, G., Goldman, N., Di Liberto, M.
Format: Article
Language:English
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Summary:Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine interaction-induced geometric and topological effects can be realized in quantum-engineered systems. Our approach builds on the design of effective lattices for the center-of-mass motion of two-body bound states (doublons), which can be created through long-range interactions. This general scenario is illustrated in several examples, where flat-band localization, topological pumps, and higher-order topological corner modes emerge from genuine interaction effects. Our results pave the way for the exploration of interaction-induced topological effects in a variety of platforms, ranging from ultracold gases to interacting photonic devices.
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.2.013348