pith:JN3FXWVO
Symmetry-Enforced Non-Hermitian Jarzynski Equality in an SU(2)-Rotated Family of Hybrid $\mathcal{PT}$--$\mathcal{APT}$ Systems
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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Record completeness
Claims
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.
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.
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
· · · · ·Agent API
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
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
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