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pith:JN3FXWVO

pith:2026:JN3FXWVOPK7MC62TS3XL2VCCDQ
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Symmetry-Enforced Non-Hermitian Jarzynski Equality in an SU(2)-Rotated Family of Hybrid $\mathcal{PT}$--$\mathcal{APT}$ Systems

Feng Zhu, Le Luo, Teng Liu, Xiaodong Tan, Zongru Yang

A parity-exchange symmetry extends the conditional Jarzynski equality from isolated PT systems to an entire SU(2)-rotated family of hybrid PT-APT Hamiltonians.

arxiv:2605.10099 v2 · 2026-05-11 · quant-ph · cond-mat.stat-mech

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4 Citations open
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Claims

C1strongest claim

the parity-exchange symmetry persists throughout the corresponding SU(2)-rotated orbit. Relative to previous PT-focused conditional Jarzynski equality results, the advance here is an extension of the symmetry criterion from the isolated PT endpoint to a broader PT–APT hybrid family.

C2weakest assumption

the transition probabilities obey a parity-exchange symmetry (invoked in the postselected no-quantum-jump framework) and that the two-level restriction plus the specific hybrid Hamiltonian construction are representative of the broader non-Hermitian case.

C3one line summary

A parity-exchange symmetry enforces the conditional non-Hermitian Jarzynski equality throughout an SU(2)-rotated family of hybrid PT-APT two-level systems, confirmed experimentally at three points in a trapped ytterbium ion.

Receipt and verification
First computed 2026-06-09T02:07:28.884771Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b765bdaae7abec17b5396eebd54421c12dcf722702b46b10dcc268ea20e0677

Aliases

arxiv: 2605.10099 · arxiv_version: 2605.10099v2 · doi: 10.48550/arxiv.2605.10099 · pith_short_12: JN3FXWVOPK7M · pith_short_16: JN3FXWVOPK7MC62T · pith_short_8: JN3FXWVO
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Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JN3FXWVOPK7MC62TS3XL2VCCDQ \
  | 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: 4b765bdaae7abec17b5396eebd54421c12dcf722702b46b10dcc268ea20e0677
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "faca4f8db79af4e1cc7afa50792e2e770014668580e78f9fe1afb84519d6310b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-11T07:16:06Z",
    "title_canon_sha256": "11f7749e5faac40f8dbf199185b8f13da64a4076d81593455987eb83b472c3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10099",
    "kind": "arxiv",
    "version": 2
  }
}