Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 632

The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.

Maximal work extraction from finite quantum systems

Open access
Allahverdyan, A. E, Balian, R, Nieuwenhuizen, Th. M·2004·Europhysics Letters (EPL)

Abstract

Thermodynamics teaches that if a system initially off-equilibrium is coupled to work sources, the maximum work that it may yield is governed by its energy and entropy. For finite systems this bound is usually not reachable. The maximum extractable work compatible with quantum mechanics ("ergotropy") is derived and expressed in terms of the density matrix and the Hamiltonian. It is related to the property of majorization: more major states can provide more work. Scenarios of work extraction that contrast the thermodynamic intuition are discussed, e.g. a state with larger entropy than another may produce more work, while correlations may increase or reduce the ergotropy.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1209/epl/i2004-10101-2

Cites

20 of 20 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 20 references

Cited by

See all 632

Metadata

Authors
Allahverdyan, A. E., Balian, R., & Nieuwenhuizen, T. M.
Venue
Europhysics Letters (EPL)
Published
2004-08
Volume
67
Issue
4
Pages
565-571
ISSN
  • 0295-5075 (ISSN-L)
  • 1286-4854
OpenAlex
W2063890426
Cited by
632
References
20
FWCI
1.36
Type
journal article
Language
en
Open access
bronze

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Maximal work extraction from finite quantum systems. https://app.cochat.ai/papers/10.1209/epl/i2004-10101-2
The paper
Allahverdyan, A. E., Balian, R., & Nieuwenhuizen, T. M. (2004). Maximal work extraction from finite quantum systems. Europhysics Letters (EPL). https://doi.org/10.1209/epl/i2004-10101-2

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.