Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model

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Hauptverfasser: Zhao, Wenduo, Huang, Boning, Ke, Yongguan, Lee, Chaohong
Format: Preprint
Veröffentlicht: 2026
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author Zhao, Wenduo
Huang, Boning
Ke, Yongguan
Lee, Chaohong
author_facet Zhao, Wenduo
Huang, Boning
Ke, Yongguan
Lee, Chaohong
contents Bound states, known as particles tied together and moving as a whole, are profound correlated effects induced by particle-particle interactions. While dimer-monomer bound states are manifested as a single particle attached to a dimer bound pair, it is still unclear about quantum walks and Bloch oscillations of dimer-monomer bound states. Here, we revisit three-particle bound states in the Bose-Hubbard model and find that interaction-induced impurities adjacent to bound pair and boundaries cause two kinds of bound states: one is dimer-monomer bound state and the other is bound edge state. In quantum walks, the spread velocity of dimer-monomer bound state is determined by the maximal group velocity of their energy band, which is much smaller than that in the single-particle case. In Bloch oscillations, the period of dimer-monomer bound states is one third of that in the single-particle case. Emergence of bound edge states also requires that interaction-induced defects are greater than the effective tunneling strength of three-particle bound state. Our work provides new insights to basic mechanics and collective dynamics of three-particle bound states.
format Preprint
id arxiv_https___arxiv_org_abs_2601_20042
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model
Zhao, Wenduo
Huang, Boning
Ke, Yongguan
Lee, Chaohong
Quantum Gases
Quantum Physics
Bound states, known as particles tied together and moving as a whole, are profound correlated effects induced by particle-particle interactions. While dimer-monomer bound states are manifested as a single particle attached to a dimer bound pair, it is still unclear about quantum walks and Bloch oscillations of dimer-monomer bound states. Here, we revisit three-particle bound states in the Bose-Hubbard model and find that interaction-induced impurities adjacent to bound pair and boundaries cause two kinds of bound states: one is dimer-monomer bound state and the other is bound edge state. In quantum walks, the spread velocity of dimer-monomer bound state is determined by the maximal group velocity of their energy band, which is much smaller than that in the single-particle case. In Bloch oscillations, the period of dimer-monomer bound states is one third of that in the single-particle case. Emergence of bound edge states also requires that interaction-induced defects are greater than the effective tunneling strength of three-particle bound state. Our work provides new insights to basic mechanics and collective dynamics of three-particle bound states.
title Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2601.20042