{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T06:04:50Z","timestamp":1772517890360,"version":"3.50.1"},"reference-count":78,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T00:00:00Z","timestamp":1579132800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000266","name":"EPSRC","doi-asserted-by":"publisher","award":["Centre of Doctoral Training for Controlled Quantum Dynamics"],"award-info":[{"award-number":["Centre of Doctoral Training for Controlled Quantum Dynamics"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In recent years, a quantum information theoretic framework has emerged for incorporating non-classical phenomena into fluctuation relations. Here, we elucidate this framework by exploring deviations from classical fluctuation relations resulting from the athermality of the initial thermal system and quantum coherence of the system\u2019s energy supply. In particular, we develop Crooks-like equalities for an oscillator system which is prepared either in photon added or photon subtracted thermal states and derive a Jarzynski-like equality for average work extraction. We use these equalities to discuss the extent to which adding or subtracting a photon increases the informational content of a state, thereby amplifying the suppression of free energy increasing process. We go on to derive a Crooks-like equality for an energy supply that is prepared in a pure binomial state, leading to a non-trivial contribution from energy and coherence on the resultant irreversibility. We show how the binomial state equality fits in relation to a previously derived coherent state equality and offers a richer feature-set.<\/jats:p>","DOI":"10.3390\/e22010111","type":"journal-article","created":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T07:39:02Z","timestamp":1579246742000},"page":"111","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Quantifying Athermality and Quantum Induced Deviations from Classical Fluctuation Relations"],"prefix":"10.3390","volume":"22","author":[{"given":"Zo\u00eb","family":"Holmes","sequence":"first","affiliation":[{"name":"Controlled Quantum Dynamics Theory Group, Imperial College London, London SW7 2BW, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7774-7688","authenticated-orcid":false,"given":"Erick","family":"Hinds Mingo","sequence":"additional","affiliation":[{"name":"Controlled Quantum Dynamics Theory Group, Imperial College London, London SW7 2BW, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Calvin","family":"Chen","sequence":"additional","affiliation":[{"name":"Controlled Quantum Dynamics Theory Group, Imperial College London, London SW7 2BW, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florian","family":"Mintert","sequence":"additional","affiliation":[{"name":"Controlled Quantum Dynamics Theory Group, Imperial College London, London SW7 2BW, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,16]]},"reference":[{"key":"ref_1","first-page":"70","article-title":"The Thermodynamics of Magnetization","volume":"155","author":"Guggenheim","year":"1936","journal-title":"Proc. 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