Efficiency of Harmonic Quantum Otto Engines at Maximal Power

Recent experimental breakthroughs produced the first nano heat engines that have the potential to harness quantum resources. An instrumental question is how their performance measures up against the efficiency of classical engines. For single ion engines undergoing quantum Otto cycles it has been fo...

Full description

Bibliographic Details
Main Author: Sebastian Deffner
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/20/11/875
_version_ 1818008401848827904
author Sebastian Deffner
author_facet Sebastian Deffner
author_sort Sebastian Deffner
collection DOAJ
description Recent experimental breakthroughs produced the first nano heat engines that have the potential to harness quantum resources. An instrumental question is how their performance measures up against the efficiency of classical engines. For single ion engines undergoing quantum Otto cycles it has been found that the efficiency at maximal power is given by the Curzon⁻Ahlborn efficiency. This is rather remarkable as the Curzon⁻Alhbron efficiency was originally derived for endoreversible Carnot cycles. Here, we analyze two examples of endoreversible Otto engines within the same conceptual framework as Curzon and Ahlborn’s original treatment. We find that for endoreversible Otto cycles in classical harmonic oscillators the efficiency at maximal power is, indeed, given by the Curzon⁻Ahlborn efficiency. However, we also find that the efficiency of Otto engines made of quantum harmonic oscillators is significantly larger.
first_indexed 2024-04-14T05:29:02Z
format Article
id doaj.art-3f32f02139684e2ebf6687a9b5a01217
institution Directory Open Access Journal
issn 1099-4300
language English
last_indexed 2024-04-14T05:29:02Z
publishDate 2018-11-01
publisher MDPI AG
record_format Article
series Entropy
spelling doaj.art-3f32f02139684e2ebf6687a9b5a012172022-12-22T02:09:53ZengMDPI AGEntropy1099-43002018-11-01201187510.3390/e20110875e20110875Efficiency of Harmonic Quantum Otto Engines at Maximal PowerSebastian Deffner0Department of Physics, University of Maryland Baltimore County, Baltimore, MD 21250, USARecent experimental breakthroughs produced the first nano heat engines that have the potential to harness quantum resources. An instrumental question is how their performance measures up against the efficiency of classical engines. For single ion engines undergoing quantum Otto cycles it has been found that the efficiency at maximal power is given by the Curzon⁻Ahlborn efficiency. This is rather remarkable as the Curzon⁻Alhbron efficiency was originally derived for endoreversible Carnot cycles. Here, we analyze two examples of endoreversible Otto engines within the same conceptual framework as Curzon and Ahlborn’s original treatment. We find that for endoreversible Otto cycles in classical harmonic oscillators the efficiency at maximal power is, indeed, given by the Curzon⁻Ahlborn efficiency. However, we also find that the efficiency of Otto engines made of quantum harmonic oscillators is significantly larger.https://www.mdpi.com/1099-4300/20/11/875quantum Otto engineCurzon–Ahlborn efficiencyendoreversible quantum thermodynamics
spellingShingle Sebastian Deffner
Efficiency of Harmonic Quantum Otto Engines at Maximal Power
Entropy
quantum Otto engine
Curzon–Ahlborn efficiency
endoreversible quantum thermodynamics
title Efficiency of Harmonic Quantum Otto Engines at Maximal Power
title_full Efficiency of Harmonic Quantum Otto Engines at Maximal Power
title_fullStr Efficiency of Harmonic Quantum Otto Engines at Maximal Power
title_full_unstemmed Efficiency of Harmonic Quantum Otto Engines at Maximal Power
title_short Efficiency of Harmonic Quantum Otto Engines at Maximal Power
title_sort efficiency of harmonic quantum otto engines at maximal power
topic quantum Otto engine
Curzon–Ahlborn efficiency
endoreversible quantum thermodynamics
url https://www.mdpi.com/1099-4300/20/11/875
work_keys_str_mv AT sebastiandeffner efficiencyofharmonicquantumottoenginesatmaximalpower