Energy efficient quantum machines
Open accessAbstract
We investigate the performance of a quantum thermal machine operating in finite time based on shortcut-to-adiabaticity techniques. We compute efficiency and power for a paradigmatic harmonic quantum Otto engine by taking the energetic cost of the shortcut driving explicitly into account. We demonstrate that shortcut-to-adiabaticity machines outperform conventional ones for fast cycles. We further derive generic upper bounds on both quantities, valid for any heat engine cycle, using the notion of quantum speed limit for driven systems. We establish that these quantum bounds are tighter than those stemming from the second law of thermodynamics.
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A Margolus-Levitin-type quantum speed limit for the required transformation time is τ_QSL = L(ρi,ρf)/⟨H_SA⟩.
“Interestingly, a Margolus-Levitin-type quantum speed limit on the time required to achieve the transformations can be defined [94] τ τ QSL = L(ρ i , ρ f ) H SA .(48)”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [94]
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References 56 · Cited by 101
Research works printed but not linked: 2
- Haliday D., Rensnick R. and Walker J., Fundamen- tals of Physics (Wiley, New York) 2013.
- Pinney E., Proc. Am. Math. Soc., 1 (1950) 681.
- Authors
- Abah, O., & Lutz, E.
- Affiliations
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2017-05-01
- Volume
- 118
- Issue
- 4
- Pages
- 40005
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2739977619
- Cited by
- 101
- References
- 56
- Citations by year
- 2026: 5 · 2025: 10 · 2024: 3 · 2023: 7 · 2022: 9 · 2021: 19 · 2020: 19 · 2019: 13 · 2018: 8 · 2017: 8
- FWCI
- 6.79
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Europhysics Letters (EPL) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Springer Link (Chiba Institute of Technology) (submittedVersion)
- Research Portal (Queen's University Belfast) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Engineering › Mechanical Engineering › Advanced Thermodynamic Systems and Engines
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- quantum thermal machines, quantum Otto engine, shortcuts to adiabaticity, finite-time thermodynamics, energy efficiency, output power, quantum speed limit, driven systems, efficiency bounds, second law of thermodynamics, heat engines
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