{"paper":{"title":"Quantum Optical Soliton Dynamics Beyond Linearization: An Open-System Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Two open-system approaches model the quantum dynamics of optical solitons beyond linearization.","cross_cats":["physics.optics"],"primary_cat":"quant-ph","authors_text":"Chris Gustin, Edwin Ng, Hideo Mabuchi, Ryotatsu Yangimoto","submitted_at":"2026-05-16T14:53:56Z","abstract_excerpt":"We introduce two approaches to modeling the quantum dynamics of optical $\\chi^{(3)}$ solitons. Taking an open-system viewpoint, we project the underlying quantum field into system (soliton) and residual reservoir components. The reservoir is treated as either (i) a discrete ``Lanczos supermode'' (LSM) expansion which localizes dynamics to a few-supermode basis, or (ii) a non-local environment which can be traced out by deriving a Markovian master equation (ME). Using these methods, we analyze and identify the quantum structure of both the soliton's stability and its hierarchy of perturbations."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"As neither method is limited to the linearized regime, our approaches provide powerful computational tools to analyze complex non-Gaussian quantum dynamics of solitons where other commonly-used methods fail, providing insight into such non-perturbative regimes.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The projection of the underlying quantum field into system (soliton) and residual reservoir components is valid and sufficient to capture the essential dynamics, including stability and perturbations, without significant information loss or unaccounted back-action from the reservoir treatment.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Two open-system approaches using Lanczos supermode expansion and Markovian master equation are developed to capture quantum-induced phase shifts and photon loss in χ^(3) solitons without linearization.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Two open-system approaches model the quantum dynamics of optical solitons beyond linearization.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"cc84605a4a64b5d4fa575048774af800b5b32e9310b1dc9411dd9e186187141f"},"source":{"id":"2605.17025","kind":"arxiv","version":1},"verdict":{"id":"46eeaf81-28da-4fda-b42e-fd57c1ec1ed9","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T20:11:09.805412Z","strongest_claim":"As neither method is limited to the linearized regime, our approaches provide powerful computational tools to analyze complex non-Gaussian quantum dynamics of solitons where other commonly-used methods fail, providing insight into such non-perturbative regimes.","one_line_summary":"Two open-system approaches using Lanczos supermode expansion and Markovian master equation are developed to capture quantum-induced phase shifts and photon loss in χ^(3) solitons without linearization.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The projection of the underlying quantum field into system (soliton) and residual reservoir components is valid and sufficient to capture the essential dynamics, including stability and perturbations, without significant information loss or unaccounted back-action from the reservoir treatment.","pith_extraction_headline":"Two open-system approaches model the quantum dynamics of optical solitons beyond linearization."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17025/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T20:31:18.978515Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T20:20:46.092169Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"citation_quote_validity","ran_at":"2026-05-19T19:49:44.685872Z","status":"skipped","version":"0.1.0","findings_count":0},{"name":"cited_work_retraction","ran_at":"2026-05-19T18:51:57.745459Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T18:41:56.178534Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T18:33:23.495303Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"e675dd69c62e3ac02d8b4c29a3e0491f657dea1ad646cc86595e5a9f878cb1b3"},"references":{"count":87,"sample":[{"doi":"","year":null,"title":"We use the LSM method with various finite truncations of number of supermodes, as well as the full ME given by the dissipator in Eq","work_id":"8e85e3ea-4d82-4952-b778-9f39a4ba427c","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"High-photon number regime Next, we move to a regime with larger ¯n, where the soliton becomes asymptotically closer to its stable clas- sical solution, and we can employ a nonlinear Gaussian approxima","work_id":"d91342bd-8b0e-469f-9f4d-9f57c8f22c5b","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1976,"title":"R. Hirota and J. Satsuma,N-Soliton Solutions of Model Equations for Shallow Water Waves, J. Phys. Soc. Jpn. 40, 611 (1976)","work_id":"34a1abea-4bd7-43dc-a1f2-de78ccf45f0f","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2002,"title":"L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cu- bizolles, L. D. Carr, Y. Castin, and C. Salomon, Forma- tion of a Matter-Wave Bright Soliton, Science296, 1290 (2002)","work_id":"3aa92f16-9bba-46f0-b900-d722fea01d2e","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1983,"title":"K. E. 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