{"paper":{"title":"Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Interaction-induced impurities in the Bose-Hubbard model create dimer-monomer bound states with reduced spread velocity and one-third Bloch oscillation period.","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Boning Huang, Chaohong Lee, Wenduo Zhao, Yongguan Ke","submitted_at":"2026-01-27T20:44:41Z","abstract_excerpt":"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 qu"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that interaction-induced defects exceed the effective tunneling strength of the three-particle bound state, allowing bound edge states to emerge, and that the energy bands and dynamics can be cleanly separated from scattering states in the chosen parameter regime.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Interaction-induced impurities in the Bose-Hubbard model produce dimer-monomer bound states whose quantum-walk velocity follows the band's maximum group velocity and whose Bloch period is one-third the single-particle value.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Interaction-induced impurities in the Bose-Hubbard model create dimer-monomer bound states with reduced spread velocity and one-third Bloch oscillation period.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"5d6a2c2dfd5c6223b75335137c5edebe07b8f27af18e40ec45b028b980ffaf58"},"source":{"id":"2601.20042","kind":"arxiv","version":3},"verdict":{"id":"bdce23e8-c5f8-4ac7-97c1-c369416fc1c8","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T10:17:54.543467Z","strongest_claim":"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.","one_line_summary":"Interaction-induced impurities in the Bose-Hubbard model produce dimer-monomer bound states whose quantum-walk velocity follows the band's maximum group velocity and whose Bloch period is one-third the single-particle value.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that interaction-induced defects exceed the effective tunneling strength of the three-particle bound state, allowing bound edge states to emerge, and that the energy bands and dynamics can be cleanly separated from scattering states in the chosen parameter regime.","pith_extraction_headline":"Interaction-induced impurities in the Bose-Hubbard model create dimer-monomer bound states with reduced spread velocity and one-third Bloch oscillation period."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.20042/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"e7a65fa61c088c7b3c99fd4eb3f6d82053b393287c297ac465e19f51f44f4adb"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}