Pith Number

pith:TX2JI6LS

pith:2025:TX2JI6LSYW3U3QIUEKMETMJSP6

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Unified theory of classical and quantum ergotropy

Michele Campisi

Classical ergotropy has a general analytical expression that is the limit of its quantum counterpart for classically ergodic systems.

arxiv:2508.12797 v3 · 2025-08-18 · cond-mat.stat-mech · physics.plasm-ph · quant-ph

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Claims

C1strongest claim

We provide the general analytical expression of ergotropy of classical systems valid regardless of their size and the type of interparticle interactions, and show that it emerges as the classical limit of the quantum expression of ergotropy, for quantum systems that are classically ergodic.

C2weakest assumption

The premise that the quantum systems under consideration are classically ergodic, which is invoked to establish that the quantum ergotropy expression reduces to the derived classical expression (abstract, paragraph on unified theory).

C3one line summary

A general analytical expression for classical ergotropy is derived and shown to be the classical limit of the quantum expression for ergodic systems, with the coherent-incoherent decomposition persisting classically.

References

49 extracted · 49 resolved · 0 Pith anchors

[1] J. Gemmer, M. Michel, and G. Mahler, eds.,Quantum Ther- modynamics, Lecture Notes in Physics, Berlin Springer Verlag, Vol. 784 (2009) 2009

[2] F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso, Thermodynamics in the Quantum Regime, Vol. 195 (2018). 6 2018

[3] S. Deffner and S. Campbell,Quantum Thermodynamics, 2053- 2571 (Morgan and Claypool Publishers, 2019) 2053

[4] arXiv:2504.20145(2025) 2025

[5] R. Alicki and M. Fannes, Entanglement boost for extractable work from ensembles of quantum batteries, Phys. Rev. E87, 042123 (2013) 2013

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Receipt and verification

First computed	2026-05-20T00:05:32.522186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df4947972c5b74dc114229849b1327fa7b4886b80b93ca668665d890821d2d0

Aliases

arxiv: 2508.12797 · arxiv_version: 2508.12797v3 · doi: 10.48550/arxiv.2508.12797 · pith_short_12: TX2JI6LSYW3U · pith_short_16: TX2JI6LSYW3U3QIU · pith_short_8: TX2JI6LS

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TX2JI6LSYW3U3QIUEKMETMJSP6 \
  | 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: 9df4947972c5b74dc114229849b1327fa7b4886b80b93ca668665d890821d2d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35e0dd5ec3055cc3ffc9a4f1dcac545b503f3f03c5b8e543f2b8946c2f1b9d4a",
    "cross_cats_sorted": [
      "physics.plasm-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-08-18T10:19:10Z",
    "title_canon_sha256": "4eb9df89168b1c7429d3ad9efd776d7e9490214452315bc06a7e20d3757a5245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12797",
    "kind": "arxiv",
    "version": 3
  }
}