Topological Extended Doublons Formed by Drive-Induced Non-Local Interactions

When studying systems of interacting particles, few-particle systems are of particular interest as the mean-field approximation breaks down for a small number of particles. Two particles with attractive or repulsive long-range interactions may form a bound state [1], the so-called doublon, showing a number of peculiar features: topologically protected doublon states can not only persist outside the parameter regime for topological single particles [2], but also break the bulk boundary correspondence for large interactions [3]. So far doublons were only considered as doubly-occupied lattice sites [1], [4], whereas this work focuses on the general form of quasi-particles extending over multiple lattice sites.

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Published
2025-06-23
DOI
https://doi.org/10.1109/cleo/europe-eqec65582.2025.11110479
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

Topological Extended Doublons Formed by Drive-Induced Non-Local Interactions

Matthias Heinrich, Marcus J. Meschede, D. Bauer, Francesco S. Piccioli et al.
Geometric and Algebraic Topology
article

Topological Extended Doublons Formed by Drive-Induced Non-Local Interactions

Matthias Heinrich, Marcus J. Meschede, D. Bauer, Francesco S. Piccioli, Joshua Feis, James P. Beck, Sebastian Weidemann, Alexander Szameit, Helena Drüeke
article en

Abstract

When studying systems of interacting particles, few-particle systems are of particular interest as the mean-field approximation breaks down for a small number of particles. Two particles with attractive or repulsive long-range interactions may form a bound state [1], the so-called doublon, showing a number of peculiar features: topologically protected doublon states can not only persist outside the parameter regime for topological single particles [2], but also break the bulk boundary correspondence for large interactions [3]. So far doublons were only considered as doubly-occupied lattice sites [1], [4], whereas this work focuses on the general form of quasi-particles extending over multiple lattice sites.

University of Rostock (DE)
Openalex Percentile: Top 73%
Geometric and Algebraic Topology
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Topological Extended Doublons Formed by Drive-Induced Non-Local Interactions — Matthias Heinrich, Marcus J. Meschede, et al. · (2025) | TGRS Research Map | TGRS