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Quantum Optical Soliton Dynamics Beyond Linearization: An Open-System Approach

Chris Gustin, Edwin Ng, Hideo Mabuchi, Ryotatsu Yangimoto

Two open-system approaches model the quantum dynamics of optical solitons beyond linearization.

arxiv:2605.17025 v1 · 2026-05-16 · quant-ph · physics.optics

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Claims

C1strongest 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.

C2weakest 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.

C3one 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.

References

87 extracted · 87 resolved · 1 Pith anchors

[1] 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
[2] 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
[3] R. Hirota and J. Satsuma,N-Soliton Solutions of Model Equations for Shallow Water Waves, J. Phys. Soc. Jpn. 40, 611 (1976) 1976
[4] 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) 2002
[5] K. E. Lonngren, Soliton experiments in plasmas, Plasma Phys.25, 943 (1983) 1983

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First computed 2026-05-20T00:03:36.539391Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ee48ccb01cec42a3fa122a4e26e5325f173e6dba22356fbb69bb65df0287575c

Aliases

arxiv: 2605.17025 · arxiv_version: 2605.17025v1 · doi: 10.48550/arxiv.2605.17025 · pith_short_12: 5ZEMZMA45RBK · pith_short_16: 5ZEMZMA45RBKH6QS · pith_short_8: 5ZEMZMA4
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Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5ZEMZMA45RBKH6QSFJHCNZJSL4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ee48ccb01cec42a3fa122a4e26e5325f173e6dba22356fbb69bb65df0287575c
Canonical record JSON
{
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    "abstract_canon_sha256": "a53dea4cd6a548c1f5f8df03ec14f8c944298baa822d0dadd59d61332d98a75f",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-16T14:53:56Z",
    "title_canon_sha256": "6f4f437d28780478765fac5a706b6eb18c03292b3cf24f61e28592c5a8165381"
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}