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arXiv · 1911.05057

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

Grazia Salerno·Giandomenico Palumbo·Nathan Goldman·Marco Di Liberto
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Abstract

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 (\emph{doublons}), which can be created through long-range interactions. This general scenario is illustrated on 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.

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Grazia Salerno, Giandomenico Palumbo, Nathan Goldman, Marco Di Liberto. 2019-11-12. Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons. https://doi.org/10.1103/physrevresearch.2.013348

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