Pith Number

pith:OCAVW6VN

pith:2026:OCAVW6VN5RYFOT36H2U4GKILT3

not attested not anchored not stored refs resolved

Hidden time-nonlocal Floquet symmetries

Jes\'us Casado-Pascual, Sigmund Kohler

A hidden time-nonlocal parity symmetry produces exact quasienergy crossings in driven two-level systems when detuning is an integer multiple of the drive quantum.

arxiv:2601.05783 v2 · 2026-01-09 · quant-ph · cond-mat.mes-hall

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Claims

C1strongest claim

We investigate the Floquet spectrum of a detuned, driven two-level system and show that it exhibits exact quasienergy crossings when the detuning is an integer multiple of the energy quantum of the driving field. This behavior can be explained by a hidden time-nonlocal parity, which allows the Floquet modes to be classified as even or odd.

C2weakest assumption

The model is restricted to a driven two-level system whose equations permit a scalar recurrence relation that directly reveals the parity; the hidden symmetry may not survive or be detectable in the same way for generic multi-level or nonlinear systems without the numerical scheme.

C3one line summary

Exact quasienergy crossings occur in detuned driven two-level systems at integer multiples of the drive frequency due to a hidden time-nonlocal parity symmetry proven by scalar recurrence.

References

22 extracted · 22 resolved · 0 Pith anchors

[1] Solution of the Schrödinger equation with a Hamiltonian periodic in time 1965

[2] Steady states and quasiener- gies of a quantum-mechanical system in an oscillating field 1973

[3] Driven quantum systems 1998

[4] Coherent destruc- tion of tunneling 1991

[5] Local- ization in a driven two-level dynamics 1992

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-17T23:39:00.284964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70815b7aadec70574f7e3ea9c3290b9ee2851284092b215ffa91da3504e116d6

Aliases

arxiv: 2601.05783 · arxiv_version: 2601.05783v2 · doi: 10.48550/arxiv.2601.05783 · pith_short_12: OCAVW6VN5RYF · pith_short_16: OCAVW6VN5RYFOT36 · pith_short_8: OCAVW6VN

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OCAVW6VN5RYFOT36H2U4GKILT3 \
  | 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: 70815b7aadec70574f7e3ea9c3290b9ee2851284092b215ffa91da3504e116d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94635c12dcbb63acf23e2e0f4e27f3b1cb13146a1ac8c78174fff9ebcc7214b9",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-01-09T13:21:44Z",
    "title_canon_sha256": "1d6984b5cd840621ce1d928db9219dcf68cd01e4f0707f3a8273fc2b8d33ac7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.05783",
    "kind": "arxiv",
    "version": 2
  }
}