Pith Number

pith:N5NJJUN2

pith:2025:N5NJJUN2RRWTFWV2VJF2UUVHA3

not attested not anchored not stored refs resolved

Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology

Mahmoud T. Elewa, M. I. Dykman

In a modulated spin-1/2 chain the nontrivial topology produces an absence of frequency dispersion in the time-averaged magnetization.

arxiv:2511.10891 v2 · 2025-11-14 · cond-mat.mes-hall · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5NJJUN2RRWTFWV2VJF2UUVHA3}

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

In the topological regime, depending on the turn-on rate, the system displays an absence of frequency dispersion of the time-averaged magnetization and an absence or a suppression of its spatial correlations near resonance. The transition between the topological and trivial regimes is controlled by the modulation frequency.

C2weakest assumption

The excitations of the spin-1/2 chain in a strong magnetic field can be mapped onto fermionic excitations of the Kitaev chain, and the closed chain possesses a well-defined nontrivial topological regime whose dynamical response is captured by this mapping.

C3one line summary

In the topological regime of a parametrically modulated spin-1/2 chain, time-averaged magnetization shows no frequency dispersion and spatial correlations are absent or suppressed near resonance, with the topological-to-trivial transition set by modulation frequency.

References

40 extracted · 40 resolved · 0 Pith anchors

[1] There are two different ways of pairing the values ofki: k1 =k 4 &k 2 =k 3 ork 1 =−k 3 &k 2 =−k 4

[2] nonadiabatic

[3] Fk(t) sgnMk −i ˙Fk|Mk| 2ε2 k # −i Ck2 exp[−iS(t)] 2εk

[4] Γ 1 + sk 2 −e −i(π/4)sgnη ksgnM k r |sk| 2 Γ 1 2 + sk 2 # , βk = 2sk/2 √ 4π

[5] H. Suhl, The theory of ferromagnetic resonance at high signal powers, J. Phys. Chem. Solids1, 209 (1957) 1957

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-20T02:05:38.099654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5a94d1ba8c6d32dabaaa4baa52a706e1c9b820154b212586661960d4d4b18f

Aliases

arxiv: 2511.10891 · arxiv_version: 2511.10891v2 · doi: 10.48550/arxiv.2511.10891 · pith_short_12: N5NJJUN2RRWT · pith_short_16: N5NJJUN2RRWTFWV2 · pith_short_8: N5NJJUN2

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/N5NJJUN2RRWTFWV2VJF2UUVHA3 \
  | 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: 6f5a94d1ba8c6d32dabaaa4baa52a706e1c9b820154b212586661960d4d4b18f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a40c465edebc66b3155017140f8f64903f4ed80cd86798cbf4b1e01f51f95f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2025-11-14T02:04:09Z",
    "title_canon_sha256": "1f1887478fc048413e7a702440563636a06e07395268a120f79420b78f38a046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.10891",
    "kind": "arxiv",
    "version": 2
  }
}