Thermodynamic universality of quantum Carnot engines
Abstract
The Carnot statement of the second law of thermodynamics poses an upper limit on the efficiency of all heat engines. Recently, it has been studied whether generic quantum features such as coherence and quantum entanglement could allow for quantum devices with efficiencies larger than the Carnot efficiency. The present study shows that this is not permitted by the laws of thermodynamic —independent of the model. We will show that rather the definition of heat has to be modified to account for the thermodynamic cost of maintaining non-Gibbsian equilibrium states. As a result, our theoretical findings are illustrated for two experimentally relevant examples.
- Authors:
-
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Silesia, Katowice (Poland)
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1233539
- Alternate Identifier(s):
- OSTI ID: 1224650
- Report Number(s):
- LA-UR-15-21740
Journal ID: ISSN 1539-3755; PLEEE8
- Grant/Contract Number:
- 1060/MOB/2013/0; AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 1539-3755
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Gardas, Bartłomiej, and Deffner, Sebastian. Thermodynamic universality of quantum Carnot engines. United States: N. p., 2015.
Web. doi:10.1103/PhysRevE.92.042126.
Gardas, Bartłomiej, & Deffner, Sebastian. Thermodynamic universality of quantum Carnot engines. United States. https://doi.org/10.1103/PhysRevE.92.042126
Gardas, Bartłomiej, and Deffner, Sebastian. Mon .
"Thermodynamic universality of quantum Carnot engines". United States. https://doi.org/10.1103/PhysRevE.92.042126. https://www.osti.gov/servlets/purl/1233539.
@article{osti_1233539,
title = {Thermodynamic universality of quantum Carnot engines},
author = {Gardas, Bartłomiej and Deffner, Sebastian},
abstractNote = {The Carnot statement of the second law of thermodynamics poses an upper limit on the efficiency of all heat engines. Recently, it has been studied whether generic quantum features such as coherence and quantum entanglement could allow for quantum devices with efficiencies larger than the Carnot efficiency. The present study shows that this is not permitted by the laws of thermodynamic —independent of the model. We will show that rather the definition of heat has to be modified to account for the thermodynamic cost of maintaining non-Gibbsian equilibrium states. As a result, our theoretical findings are illustrated for two experimentally relevant examples.},
doi = {10.1103/PhysRevE.92.042126},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 4,
volume = 92,
place = {United States},
year = {Mon Oct 12 00:00:00 EDT 2015},
month = {Mon Oct 12 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 91 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Quantum Thermodynamics: A Dynamical Viewpoint
journal, May 2013
- Kosloff, Ronnie
- Entropy, Vol. 15, Issue 12
Single-Ion Heat Engine at Maximum Power
journal, November 2012
- Abah, O.; Roßnagel, J.; Jacob, G.
- Physical Review Letters, Vol. 109, Issue 20
Quantum Optomechanical Heat Engine
journal, April 2014
- Zhang, Keye; Bariani, Francesco; Meystre, Pierre
- Physical Review Letters, Vol. 112, Issue 15
Strongly Coupled Quantum Heat Machines
journal, August 2015
- Gelbwaser-Klimovsky, David; Aspuru-Guzik, Alán
- The Journal of Physical Chemistry Letters, Vol. 6, Issue 17
Non-classicality of the molecular vibrations assisting exciton energy transfer at room temperature
journal, January 2014
- O’Reilly, Edward J.; Olaya-Castro, Alexandra
- Nature Communications, Vol. 5, Issue 1
Quantum coherence in photosynthesis for efficient solar-energy conversion
journal, July 2014
- Romero, Elisabet; Augulis, Ramunas; Novoderezhkin, Vladimir I.
- Nature Physics, Vol. 10, Issue 9
Quantum thermodynamics of general quantum processes
journal, March 2015
- Binder, Felix; Vinjanampathy, Sai; Modi, Kavan
- Physical Review E, Vol. 91, Issue 3
Entropy production along nonequilibrium quantum jump trajectories
journal, August 2013
- Horowitz, Jordan M.; Parrondo, Juan M. R.
- New Journal of Physics, Vol. 15, Issue 8
The unlikely Carnot efficiency
journal, September 2014
- Verley, Gatien; Esposito, Massimiliano; Willaert, Tim
- Nature Communications, Vol. 5, Issue 1
Stochastic efficiency for effusion as a thermal engine
journal, January 2015
- Proesmans, K.; Cleuren, B.; Van den Broeck, C.
- EPL (Europhysics Letters), Vol. 109, Issue 2
Quantum Coherence, Time-Translation Symmetry, and Thermodynamics
journal, April 2015
- Lostaglio, Matteo; Korzekwa, Kamil; Jennings, David
- Physical Review X, Vol. 5, Issue 2
Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
journal, March 2015
- Lostaglio, Matteo; Jennings, David; Rudolph, Terry
- Nature Communications, Vol. 6, Issue 1
Fundamental limitations for quantum and nanoscale thermodynamics
journal, June 2013
- Horodecki, Michał; Oppenheim, Jonathan
- Nature Communications, Vol. 4, Issue 1
Extracting Work from a Single Heat Bath via Vanishing Quantum Coherence
journal, January 2003
- Scully, M. O.
- Science, Vol. 299, Issue 5608
Energetics of quantum correlations
journal, December 2009
- Dillenschneider, R.; Lutz, E.
- EPL (Europhysics Letters), Vol. 88, Issue 5
Maximum efficiency of ideal heat engines based on a small system: Correction to the Carnot efficiency at the nanoscale
journal, June 2014
- Quan, H. T.
- Physical Review E, Vol. 89, Issue 6
Work and energy gain of heat-pumped quantized amplifiers
journal, September 2013
- Gelbwaser-Klimovsky, D.; Alicki, R.; Kurizki, G.
- EPL (Europhysics Letters), Vol. 103, Issue 6
Quantum Heat Engines and Refrigerators: Continuous Devices
journal, April 2014
- Kosloff, Ronnie; Levy, Amikam
- Annual Review of Physical Chemistry, Vol. 65, Issue 1
Equilibration and thermalization of classical systems
journal, March 2013
- Jin, F.; Neuhaus, T.; Michielsen, K.
- New Journal of Physics, Vol. 15, Issue 3
Thermodynamics of a subensemble of a canonical ensemble
journal, May 2009
- Gelin, Maxim F.; Thoss, Michael
- Physical Review E, Vol. 79, Issue 5
Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise
journal, April 1992
- Hu, B. L.; Paz, Juan Pablo; Zhang, Yuhong
- Physical Review D, Vol. 45, Issue 8
Information and Entropy in Quantum Brownian Motion: Thermodynamic Entropy versus von Neumann Entropy
journal, December 2008
- Hörhammer, Christian; Büttner, Helmut
- Journal of Statistical Physics, Vol. 133, Issue 6
Quantum entanglement
journal, June 2009
- Horodecki, Ryszard; Horodecki, Paweł; Horodecki, Michał
- Reviews of Modern Physics, Vol. 81, Issue 2
The classical-quantum boundary for correlations: Discord and related measures
journal, November 2012
- Modi, Kavan; Brodutch, Aharon; Cable, Hugo
- Reviews of Modern Physics, Vol. 84, Issue 4
Work extraction from heat-powered quantized optomechanical setups
journal, January 2015
- Gelbwaser-Klimovsky, D.; Kurizki, G.
- Scientific Reports, Vol. 5, Issue 1
Quantum statistics and the performance of engine cycles
journal, July 2015
- Zheng, Yuanjian; Poletti, Dario
- Physical Review E, Vol. 92, Issue 1
Finite quantum dissipation: the challenge of obtaining specific heat
journal, November 2008
- Hänggi, Peter; Ingold, Gert-Ludwig; Talkner, Peter
- New Journal of Physics, Vol. 10, Issue 11
Nanoscale Heat Engine Beyond the Carnot Limit
journal, January 2014
- Roßnagel, J.; Abah, O.; Schmidt-Kaler, F.
- Physical Review Letters, Vol. 112, Issue 3
The quantum open system as a model of the heat engine
journal, May 1979
- Alicki, R.
- Journal of Physics A: Mathematical and General, Vol. 12, Issue 5
Thermodynamics of Information Processing in Small Systems*)
journal, January 2012
- Sagawa, Takahiro
- Progress of Theoretical Physics, Vol. 127, Issue 1
Fluctuation relation for quantum heat engines and refrigerators
journal, June 2014
- Campisi, Michele
- Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 24
Steady State Thermodynamics
journal, January 1998
- Oono, Yoshitsugu; Paniconi, Marco
- Progress of Theoretical Physics Supplement, Vol. 130
Steady-State Thermodynamics of Langevin Systems
journal, April 2001
- Hatano, Takahiro; Sasa, Shin-ichi
- Physical Review Letters, Vol. 86, Issue 16
Stochastic thermodynamics, fluctuation theorems and molecular machines
journal, November 2012
- Seifert, Udo
- Reports on Progress in Physics, Vol. 75, Issue 12
Equivalent Definitions of the Quantum Nonadiabatic Entropy Production
journal, April 2014
- Horowitz, Jordan M.; Sagawa, Takahiro
- Journal of Statistical Physics, Vol. 156, Issue 1
Geometrical Excess Entropy Production in Nonequilibrium Quantum Systems
journal, September 2013
- Yuge, Tatsuro; Sagawa, Takahiro; Sugita, Ayumu
- Journal of Statistical Physics, Vol. 153, Issue 3
Nonequilibrium work theorem for a system strongly coupled to a thermal environment
journal, September 2004
- Jarzynski, Chris
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2004, Issue 09
Nonequilibrium heat capacity
journal, December 2013
- Mandal, Dibyendu
- Physical Review E, Vol. 88, Issue 6
Thermodynamics of information
journal, February 2015
- Parrondo, Juan M. R.; Horowitz, Jordan M.; Sagawa, Takahiro
- Nature Physics, Vol. 11, Issue 2
The role of relative entropy in quantum information theory
journal, March 2002
- Vedral, V.
- Reviews of Modern Physics, Vol. 74, Issue 1
Information Processing and the Second Law of Thermodynamics: An Inclusive, Hamiltonian Approach
journal, October 2013
- Deffner, Sebastian; Jarzynski, Christopher
- Physical Review X, Vol. 3, Issue 4
Quantum Smoluchowski equation for driven systems
journal, October 2009
- Dillenschneider, Raoul; Lutz, Eric
- Physical Review E, Vol. 80, Issue 4
Experimental Characterization of Bosonic Creation and Annihilation Operators
journal, March 2013
- Kumar, R.; Barrios, E.; Kupchak, C.
- Physical Review Letters, Vol. 110, Issue 13
Quantum interference and collapse of the wavefunction in cavity QED
journal, April 1991
- Carmichael, H. J.; Brecha, R. J.; Rice, P. R.
- Optics Communications, Vol. 82, Issue 1-2
Works referencing / citing this record:
Coupled quantum Otto heat engine and refrigerator with inner friction
journal, July 2019
- Türkpençe, Deniz; Altintas, Ferdi
- Quantum Information Processing, Vol. 18, Issue 8
Energetic instability of passive states in thermodynamics
journal, December 2017
- Sparaciari, Carlo; Jennings, David; Oppenheim, Jonathan
- Nature Communications, Vol. 8, Issue 1
Quantum engine efficiency bound beyond the second law of thermodynamics
journal, January 2018
- Niedenzu, Wolfgang; Mukherjee, Victor; Ghosh, Arnab
- Nature Communications, Vol. 9, Issue 1
Quantum fluctuation theorem for error diagnostics in quantum annealers
journal, November 2018
- Gardas, Bartłomiej; Deffner, Sebastian
- Scientific Reports, Vol. 8, Issue 1
Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
journal, February 2019
- Latune, C. L.; Sinayskiy, I.; Petruccione, F.
- Scientific Reports, Vol. 9, Issue 1
Quantum thermodynamics
journal, July 2016
- Vinjanampathy, Sai; Anders, Janet
- Contemporary Physics, Vol. 57, Issue 4
On the operation of machines powered by quantum non-thermal baths
journal, August 2016
- Niedenzu, Wolfgang; Gelbwaser-Klimovsky, David; Kofman, Abraham G.
- New Journal of Physics, Vol. 18, Issue 8
An out-of-equilibrium non-Markovian quantum heat engine
journal, January 2019
- Pezzutto, Marco; Paternostro, Mauro; Omar, Yasser
- Quantum Science and Technology, Vol. 4, Issue 2
Quantum-trajectory thermodynamics with discrete feedback control
journal, July 2016
- Gong, Zongping; Ashida, Yuto; Ueda, Masahito
- Physical Review A, Vol. 94, Issue 1
Nonlocal advantage of quantum coherence
journal, January 2017
- Mondal, Debasis; Pramanik, Tanumoy; Pati, Arun Kumar
- Physical Review A, Vol. 95, Issue 1
Lindblad-Floquet description of finite-time quantum heat engines
journal, June 2018
- Scopa, Stefano; Landi, Gabriel T.; Karevski, Dragi
- Physical Review A, Vol. 97, Issue 6
Quantum correlations and thermodynamic performances of two-qubit engines with local and common baths
journal, October 2018
- Hewgill, Adam; Ferraro, Alessandro; De Chiara, Gabriele
- Physical Review A, Vol. 98, Issue 4
Complementarity relations between quantum steering criteria
journal, November 2018
- Mondal, Debasis; Kaszlikowski, Dagomir
- Physical Review A, Vol. 98, Issue 5
Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench
journal, March 2017
- Gardas, Bartłomiej; Dziarmaga, Jacek; Zurek, Wojciech H.
- Physical Review B, Vol. 95, Issue 10
Thermodynamics of Weakly Coherent Collisional Models
journal, October 2019
- Rodrigues, Franklin L. S.; De Chiara, Gabriele; Paternostro, Mauro
- Physical Review Letters, Vol. 123, Issue 14
Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space
journal, June 2017
- Santos, Jonas F. G.; Bernardini, Alex E.
- The European Physical Journal Plus, Vol. 132, Issue 6
Special coupled quantum Otto and Carnot cycles
journal, December 2017
- Çakmak, Selçuk; Türkpençe, Deniz; Altintas, Ferdi
- The European Physical Journal Plus, Vol. 132, Issue 12
Experimentally obtaining maximal coherence via assisted distillation process
journal, January 2017
- Wu, Kang-Da; Hou, Zhibo; Zhong, Han-Sen
- Optica, Vol. 4, Issue 4
Concepts of work in autonomous quantum heat engines
journal, October 2019
- Niedenzu, Wolfgang; Huber, Marcus; Boukobza, Erez
- Quantum, Vol. 3
Non-Thermal Quantum Engine in Transmon Qubits
journal, May 2019
- Cherubim, Cleverson; Brito, Frederico; Deffner, Sebastian
- Entropy, Vol. 21, Issue 6
Entropy Exchange and Thermodynamic Properties of the Single Ion Cooling Process
journal, July 2019
- Miao, Jian-Guo; Wu, Chun-Wang; Wu, Wei
- Entropy, Vol. 21, Issue 7
Entropy Distribution in a Quantum Informational Circuit of Tunable Szilard Engines
journal, October 2019
- Diazdelacruz, Jose
- Entropy, Vol. 21, Issue 10
Measurement Based Quantum Heat Engine with Coupled Working Medium
journal, November 2019
- Das, Arpan; Ghosh, Sibasish
- Entropy, Vol. 21, Issue 11
Uncertainty Relations for Quantum Coherence
journal, July 2016
- Singh, Uttam; Pati, Arun; Bera, Manabendra
- Mathematics, Vol. 4, Issue 3
Quantum thermodynamics
journal, February 2001
- Hoffmann, K. H.
- Annalen der Physik, Vol. 10, Issue 1-2
Non-thermal quantum engine in transmon qubits
collection, January 2018
- Cherubim, Cleverson; Brito, Frederico; Deffner, Sebastian
- My University
Squeezed Thermal Reservoirs as a Resource for a Nanomechanical Engine beyond the Carnot Limit
text, January 2017
- Klaers, Jan; Faelt, Stefan; Imamoglu, Atac
- ETH Zurich
Quantum Trajectory Thermodynamics with Discrete Feedback Control
text, January 2016
- Gong, Zongping; Ashida, Yuto; Ueda, Masahito
- arXiv
Periodic Thermodynamics of Open Quantum Systems
text, January 2016
- Brandner, Kay; Seifert, Udo
- arXiv
Uncertainty Relations for Quantum Coherence
text, January 2016
- Singh, Uttam; Pati, Arun Kumar; Bera, Manabendra Nath
- arXiv
Autonomous Rotor Heat Engine
text, January 2016
- Roulet, Alexandre; Nimmrichter, Stefan; Arrazola, Juan Miguel
- arXiv
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
text, January 2016
- Strasberg, Philipp; Schaller, Gernot; Brandes, Tobias
- arXiv
Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response
text, January 2017
- Brandner, Kay; Bauer, Michael; Seifert, Udo
- arXiv
Squeezed thermal reservoirs as a resource for a nano-mechanical engine beyond the Carnot limit
text, January 2017
- Klaers, Jan; Faelt, Stefan; Imamoglu, Atac
- arXiv
Complementarity Relations Between Quantum Steering Criteria
text, January 2017
- Mondal, Debasis; Kaszlikowski, Dagomir
- arXiv
Lindblad-Floquet description of finite-time quantum heat engines
text, January 2018
- Scopa, Stefano; Landi, Gabriel T.; Karevski, Dragi
- arXiv
Quantum correlations and thermodynamic performances of two-qubit engines with local and collective baths
text, January 2018
- Hewgill, Adam; Ferraro, Alessandro; De Chiara, Gabriele
- arXiv
Non-thermal quantum engine in transmon qubits
text, January 2018
- Cherubim, Cleverson; Brito, Frederico; Deffner, Sebastian
- arXiv
Concepts of work in autonomous quantum heat engines
text, January 2019
- Niedenzu, Wolfgang; Huber, Marcus; Boukobza, Erez
- arXiv
Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
text, January 2019
- Myers, Nathan M.; Deffner, Sebastian
- arXiv