Pith Number

pith:XZKSSUSD

pith:2026:XZKSSUSDUNZ24WWO6N7SH4F6WE

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Bogoliubov mode dynamics and non-adiabatic transitions in time-varying condensed media

A.M. Tishin

A dimensionless parameter quantifies phase-mode redistribution at sub-wavelength inhomogeneities via non-adiabatic excitations in condensed media.

arxiv:2605.03087 v2 · 2026-05-04 · cond-mat.mes-hall

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We establish a universal scaling law governed by the non-adiabaticity-to-regulation ratio, proving that the proposed metric remains a robust metrological tool for identifying sub-wavelength inhomogeneities across diverse material classes.

C2weakest assumption

That numerical validation in an expanded 50-level bosonic basis is sufficient to establish the universality of the metric and scaling law across all non-linear condensed media satisfying the stability criterion without significant basis truncation artifacts.

C3one line summary

Introduces a universal dimensionless metric for non-adiabatic phase-mode redistribution at defects in condensed media, supported by numerical simulations in a 50-level bosonic basis and a scaling law.

References

21 extracted · 21 resolved · 6 Pith anchors

[1] E. Betzig and J. K. Trautman, Near-field optics: Microscopy, spectroscopy, and surface modification. Science, 257, 5067 (1992), 189-195. DOI: 10.1126/science.257.5067.189 1992 · doi:10.1126/science.257.5067.189

[2] V. G. Veselago, The electrodynamics of substances with simultaneously negative values of ε and μ. Soviet Physics Uspekhi ;10, 4, 509-514 (1968) 1968

[3] J. B. Pendry, D.R. Smith, Reversing light with negative refraction , Phys. Today 57, (2004) 37–43 . Doi: 10.1063/1.1784272 2004 · doi:10.1063/1.1784272

[4] E. Rubino, J. McLenaghan, S.C. Kehr, F. Belgiorno, D. Townsend, S. Rohr, C.E. Kuklewicz, U. Leonhardt, F. Konig, Negative-Frequency Resonant Radiation Phys. Rev. Lett. 108 (2012) 253901 https://doi.or 2012 · doi:10.1103/physrevlett.108.253901

[5] Measurement of stimulated Hawking emission in an analogue system 2011 · arXiv:1008.1911

Cited by

6 papers in Pith

Nonlinear Stabilization of Non-Adiabatic Magnonic Dynamics

An Effective Scaling Framework for Non-Adiabatic Mode Dynamics

Nonlinear Stabilization of Non-Adiabatic Magnonic Dynamics

Bogoliubov mode dynamics and non-adiabatic transitions in time-varying condensed media

Receipt and verification

First computed	2026-05-20T00:00:40.504008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be55295243a373ae5acef37f23f0beb113268079d9acce0f896fc220aeb080f0

Aliases

arxiv: 2605.03087 · arxiv_version: 2605.03087v2 · doi: 10.48550/arxiv.2605.03087 · pith_short_12: XZKSSUSDUNZ2 · pith_short_16: XZKSSUSDUNZ24WWO · pith_short_8: XZKSSUSD

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XZKSSUSDUNZ24WWO6N7SH4F6WE \
  | 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: be55295243a373ae5acef37f23f0beb113268079d9acce0f896fc220aeb080f0

Canonical record JSON

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    "abstract_canon_sha256": "73e1413b54d48dbe519114bc61a50e16c65f891258386ac47411e083f33fed4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-05-04T19:04:29Z",
    "title_canon_sha256": "e7f927aaa5986191c2d639ffccda5b6359a465ca9aa4fe7e1e1c1d9c7bd23aca"
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