Pith Number

pith:XAROXVKU

pith:2026:XAROXVKU2W4GP7XSZKMGVCQ5PB

not attested not anchored not stored refs resolved

An Effective Scaling Framework for Non-Adiabatic Mode Dynamics

A.M.Tishin

A nonlinear frequency regulator saturates non-adiabatic parametric amplification and bounds mode excitations in driven systems.

arxiv:2605.13376 v1 · 2026-05-13 · cond-mat.mes-hall

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAROXVKU2W4GP7XSZKMGVCQ5PB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

strongly nonlinear oscillatory systems can exhibit saturation of non-adiabatic parametric amplification: when the nonlinear regulator becomes sufficiently strong, exponential mode growth is dynamically suppressed and the excitation evolves toward a bounded low-occupancy regime

C2weakest assumption

The nonlinear frequency regulator U functions as an effective stabilizing mechanism that competes with non-adiabatic driving without introducing additional instabilities or requiring material-specific details beyond the model assumptions.

C3one line summary

Strongly nonlinear oscillatory systems saturate non-adiabatic parametric amplification, evolving to bounded low-occupancy regimes via spectral blockade when the nonlinear regulator is strong enough.

References

28 extracted · 28 resolved · 2 Pith anchors

[1] Bogoliubov, N. N. On a New Method in the Theory of Superconductivity. Soviet Physics JETP 7, 41-46 (1958) doi:10.1007/bf02745585 1958 · doi:10.1007/bf02745585

[2] A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particle Systems, McGraw-Hill, New York, 1971 1971

[3] A. Polkovnikov, K. Sengupta, A. Silva, M. Vengalattore, Colloquium: Nonequilibrium dynamics of closed interacting quantum systems, Rev. Mod. Phys. 83 (2011) 863. DOI: 10.1103/RevModPhys.83.863 2011 · doi:10.1103/revmodphys.83.863

[4] G., 1981, @doi [ ] 10.1103/PhysRevLett.46.1351 , https://ui.adsabs.harvard.edu/abs/1981PhRvL..46.1351U 46 1981 · doi:10.1103/physrevlett.46.1351

[5] T.G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, U. Leonhardt, Fiber- optical analog of the event horizon, Science 319 (2008) 1367. DOI: 10.1126/science.1153625 2008 · doi:10.1126/science.1153625

Cited by

5 papers in Pith

Geometric Origin of the Non-Adiabaticity Parameter and Self-Limiting Instability in Driven Nonlinear Systems

Nonlinear Stabilization of Non-Adiabatic Magnonic Dynamics

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

Ultra-Fast Quantum Control via Non-Adiabatic Resonance Windows: A 9x Speed-up on 127-Qubit IBM Processors

Receipt and verification

First computed	2026-05-18T02:44:47.894245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b822ebd554d5b867fef2ca986a8a1d78625503be84a66a149e6c9f6d280d5fe7

Aliases

arxiv: 2605.13376 · arxiv_version: 2605.13376v1 · doi: 10.48550/arxiv.2605.13376 · pith_short_12: XAROXVKU2W4G · pith_short_16: XAROXVKU2W4GP7XS · pith_short_8: XAROXVKU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XAROXVKU2W4GP7XSZKMGVCQ5PB \
  | 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: b822ebd554d5b867fef2ca986a8a1d78625503be84a66a149e6c9f6d280d5fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41181d13f0e926231cecc3b09ee67b77f7804c93ce2cb2c1c23b17aec3964d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-05-13T11:33:52Z",
    "title_canon_sha256": "1ef44dbbca611992ab59ee3ce39395dbc60f6a74b6701f21d3595c044c82d84e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13376",
    "kind": "arxiv",
    "version": 1
  }
}