{"paper":{"title":"Nonlinear optical Galton board","arxiv_id":"quant-ph/0604084","primary_cat":"quant-ph","submitted_at":"2006-04-12T08:27:38+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v2","sentences":[{"i":0,"p":0.99,"id":"s0","own":true,"role":"contribution","text":"We generalize the concept of optical Galton board (OGB), first proposed by Bouwmeester et al. {[}Phys. Rev. A \\textbf{61}, 013410 (2000)], by introducing the possibility of nonlinear self--phase modulation on the wavefunction during the walker evolution.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.85,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.26,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.99,"interpretation":0.0}},{"i":1,"p":0.99,"id":"s1","own":false,"role":"background","text":"If the original Galton board illustrates classical diffusion, the OGB, which can be understood as a grid of Landau--Zener crossings, illustrates the influence of interference on diffusion, and is closely connected with the quantum walk.","hedge":{"p":0.95,"label":"asserted"},"own_p":0.09,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.4,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.99,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":2,"p":0.96,"id":"s2","own":true,"role":"result","text":"Our nonlinear generalization of the OGB shows new phenomena, the most striking of which is the formation of non-dispersive pulses in the field distribution (soliton--like structures).","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.68,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.96,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.04,"interpretation":0.0}},{"i":3,"p":0.98,"id":"s3","own":true,"role":"result","text":"These exhibit a variety of dynamical behaviors, including ballistic motion, dynamical localization, non--elastic collisions and chaotic behavior, in the sense that the dynamics is very sensitive to the nonlinearity strength.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.87,"main_claim_p":0.25,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.02}}]},"compiled":{"main_claim":{"p":0.98,"text":"Our nonlinear generalization of the OGB shows new phenomena, the most striking of which is the formation of non-dispersive pulses in the field distribution (soliton--like structures).","location":"abstract s2","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":3832,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.16,"states_limitation":0.08,"human_participants":0.01,"controlled_comparison":0.14,"randomized_assignment":0.01,"states_quantitative_result":0.05,"compares_with_prior_results":0.88,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.82,"value":"simulation or computation","probabilities":{"argument":0.1,"literature":0.01,"proof_or_derivation":0.05,"analysis_of_existing_data":0.0,"observation_or_experiment":0.02,"simulation_or_computation":0.82}},"contribution_type":{"p":0.52,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.35,"empirical_study":0.0,"simulation_study":0.13,"theoretical_result":0.52,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.96,"text":"We generalize the concept of optical Galton board (OGB), first proposed by Bouwmeester et al. {[}Phys. 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