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Thermodynamic universality of quantum Carnot engines

Journal Article · · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
 [1];  [2]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Silesia, Katowice (Poland)
  2. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
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.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1233539
Alternate ID(s):
OSTI ID: 1224650
Report Number(s):
LA--UR-15-21740
Journal Information:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 4 Vol. 92; ISSN 1539-3755; ISSN PLEEE8
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (45)

Open Quantum Systems book January 2012
Information and Entropy in Quantum Brownian Motion: Thermodynamic Entropy versus von Neumann Entropy journal December 2008
Geometrical Excess Entropy Production in Nonequilibrium Quantum Systems journal September 2013
Equivalent Definitions of the Quantum Nonadiabatic Entropy Production journal April 2014
Quantum interference and collapse of the wavefunction in cavity QED journal April 1991
Strongly Coupled Quantum Heat Machines journal August 2015
Fundamental limitations for quantum and nanoscale thermodynamics journal June 2013
Non-classicality of the molecular vibrations assisting exciton energy transfer at room temperature journal January 2014
The unlikely Carnot efficiency journal September 2014
Description of quantum coherence in thermodynamic processes requires constraints beyond free energy journal March 2015
Quantum coherence in photosynthesis for efficient solar-energy conversion journal July 2014
Thermodynamics of information journal February 2015
Work extraction from heat-powered quantized optomechanical setups journal January 2015
Stochastic thermodynamics, fluctuation theorems and molecular machines journal November 2012
The quantum open system as a model of the heat engine journal May 1979
Finite quantum dissipation: the challenge of obtaining specific heat journal November 2008
Equilibration and thermalization of classical systems journal March 2013
Entropy production along nonequilibrium quantum jump trajectories journal August 2013
Nonequilibrium work theorem for a system strongly coupled to a thermal environment journal September 2004
Fluctuation relation for quantum heat engines and refrigerators journal June 2014
Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise journal April 1992
Thermodynamics of a subensemble of a canonical ensemble journal May 2009
Quantum Smoluchowski equation for driven systems journal October 2009
Nonequilibrium heat capacity journal December 2013
Maximum efficiency of ideal heat engines based on a small system: Correction to the Carnot efficiency at the nanoscale journal June 2014
Quantum thermodynamics of general quantum processes journal March 2015
Quantum statistics and the performance of engine cycles journal July 2015
Single-Ion Heat Engine at Maximum Power journal November 2012
Experimental Characterization of Bosonic Creation and Annihilation Operators journal March 2013
Nanoscale Heat Engine Beyond the Carnot Limit journal January 2014
Quantum Optomechanical Heat Engine journal April 2014
Steady-State Thermodynamics of Langevin Systems journal April 2001
Information Processing and the Second Law of Thermodynamics: An Inclusive, Hamiltonian Approach journal October 2013
Quantum Coherence, Time-Translation Symmetry, and Thermodynamics journal April 2015
The role of relative entropy in quantum information theory journal March 2002
Quantum entanglement journal June 2009
The classical-quantum boundary for correlations: Discord and related measures journal November 2012
Extracting Work from a Single Heat Bath via Vanishing Quantum Coherence journal January 2003
Thermodynamics of Information Processing in Small Systems*) journal January 2012
Steady State Thermodynamics journal January 1998
Quantum Heat Engines and Refrigerators: Continuous Devices journal April 2014
Work and energy gain of heat-pumped quantized amplifiers journal September 2013
Stochastic efficiency for effusion as a thermal engine journal January 2015
Energetics of quantum correlations journal December 2009
Quantum Thermodynamics: A Dynamical Viewpoint journal May 2013

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Energetic instability of passive states in thermodynamics journal December 2017
Quantum engine efficiency bound beyond the second law of thermodynamics journal January 2018
Quantum fluctuation theorem for error diagnostics in quantum annealers journal November 2018
Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines journal February 2019
Quantum thermodynamics journal July 2016
On the operation of machines powered by quantum non-thermal baths journal August 2016
An out-of-equilibrium non-Markovian quantum heat engine journal January 2019
Average coherence and its typicality for random pure states journal March 2016
Quantum-trajectory thermodynamics with discrete feedback control journal July 2016
Nonlocal advantage of quantum coherence journal January 2017
Lindblad-Floquet description of finite-time quantum heat engines journal June 2018
Quantum correlations and thermodynamic performances of two-qubit engines with local and common baths journal October 2018
Complementarity relations between quantum steering criteria journal November 2018
Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench journal March 2017
Algorithmic quantum heat engines journal July 2019
Bosons outperform fermions: The thermodynamic advantage of symmetry journal January 2020
Periodic thermodynamics of open quantum systems journal June 2016
Autonomous rotor heat engine journal June 2017
Enhancing the Charging Power of Quantum Batteries journal April 2017
Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response journal October 2017
Landauer-Büttiker Approach to Strongly Coupled Quantum Thermodynamics: Inside-Outside Duality of Entropy Evolution journal March 2018
Thermodynamics of Weakly Coherent Collisional Models journal October 2019
Stochastic and Macroscopic Thermodynamics of Strongly Coupled Systems journal January 2017
Quantum and Information Thermodynamics: A Unifying Framework Based on Repeated Interactions journal April 2017
Squeezed Thermal Reservoirs as a Resource for a Nanomechanical Engine beyond the Carnot Limit journal September 2017
Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space journal June 2017
Special coupled quantum Otto and Carnot cycles journal December 2017
Non-thermal quantum engine in transmon qubits collection January 2018
Experimentally obtaining maximal coherence via assisted distillation process journal January 2017
Concepts of work in autonomous quantum heat engines journal October 2019
Non-Thermal Quantum Engine in Transmon Qubits journal May 2019
Entropy Exchange and Thermodynamic Properties of the Single Ion Cooling Process journal July 2019
Entropy Distribution in a Quantum Informational Circuit of Tunable Szilard Engines journal October 2019
Measurement Based Quantum Heat Engine with Coupled Working Medium journal November 2019
Uncertainty Relations for Quantum Coherence journal July 2016
Squeezed Thermal Reservoirs as a Resource for a Nanomechanical Engine beyond the Carnot Limit text January 2017
Quantum Trajectory Thermodynamics with Discrete Feedback Control text January 2016
Periodic Thermodynamics of Open Quantum Systems text January 2016
Uncertainty Relations for Quantum Coherence text January 2016
Autonomous Rotor Heat Engine text January 2016
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions text January 2016
Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response text January 2017
Squeezed thermal reservoirs as a resource for a nano-mechanical engine beyond the Carnot limit text January 2017
Complementarity Relations Between Quantum Steering Criteria text January 2017
Lindblad-Floquet description of finite-time quantum heat engines text January 2018
Quantum correlations and thermodynamic performances of two-qubit engines with local and collective baths text January 2018
Non-thermal quantum engine in transmon qubits text January 2018
Concepts of work in autonomous quantum heat engines text January 2019
Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry text January 2019

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