Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries

García-Pintos, Luis Pedro; Hamma, Alioscia; del Campo, Adolfo

doi:10.1103/physrevlett.125.040601

Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries

Journal Article · Wed Jul 22 00:00:00 EDT 2020 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.125.040601· OSTI ID:1644206

^[1]; Hamma, Alioscia ^[2]; del Campo, Adolfo ^[3]

Univ. of Maryland, College Park, MD (United States); Univ. of Massachusetts, Boston, MA (United States)
Univ. of Massachusetts, Boston, MA (United States)
Donostia International Physics Center, Bilbao (Spain); IKERBASQUE, Bilbao (Spain); Univ. of Massachusetts, Boston, MA (United States)

We study the connection between the charging power of quantum batteries and the fluctuations of the stored work. We prove that in order to have a non-zero rate of change of the extractable work, the state ρW of the battery cannot be an eigenstate of a `\emph{work operator}', defined by F ≡ HW + β-1log(ρW), where HW is the Hamiltonian of the battery and β is the inverse temperature of a reference thermal bath with respect to which the extractable work is calculated. We do so by proving that fluctuations in the stored work upper bound the charging power of a quantum battery. Our findings also suggest that quantum coherence in the battery enhances the charging process, which we illustrate on a toy model of a heat engine.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Maryland, College Park, MD (United States); University of Massachusetts, Lowell, MA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0019515

OSTI ID:: 1644206

Alternate ID(s):: OSTI ID: 1657854

Journal Information:: Physical Review Letters, Vol. 125, Issue 4; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 54 works

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References (65)

Quantum limits to dynamical evolution Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo Physical Review A, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevA.67.052109	journal	May 2003
Computational Capacity of the Universe Lloyd, Seth Physical Review Letters, Vol. 88, Issue 23 https://doi.org/10.1103/PhysRevLett.88.237901	journal	May 2002
Universal Work Fluctuations During Shortcuts to Adiabaticity by Counterdiabatic Driving Funo, Ken; Zhang, Jing-Ning; Chatou, Cyril Physical Review Letters, Vol. 118, Issue 10 https://doi.org/10.1103/PhysRevLett.118.100602	journal	March 2017
Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity Campbell, Steve; Deffner, Sebastian Physical Review Letters, Vol. 118, Issue 10 https://doi.org/10.1103/PhysRevLett.118.100601	journal	March 2017
Extractable Work, the Role of Correlations, and Asymptotic Freedom in Quantum Batteries Andolina, Gian Marcello; Keck, Maximilian; Mari, Andrea Physical Review Letters, Vol. 122, Issue 4 https://doi.org/10.1103/PhysRevLett.122.047702	journal	February 2019
Ultimate physical limits to computation Lloyd, Seth Nature, Vol. 406, Issue 6799 https://doi.org/10.1038/35023282	journal	August 2000
Precision and Work Fluctuations in Gaussian Battery Charging Friis, Nicolai; Huber, Marcus Quantum, Vol. 2 https://doi.org/10.22331/q-2018-04-23-61	journal	April 2018
Geometry of quantum evolution Anandan, J.; Aharonov, Y. Physical Review Letters, Vol. 65, Issue 14 https://doi.org/10.1103/PhysRevLett.65.1697	journal	October 1990
Quantum Speed Limit for Non-Markovian Dynamics Deffner, Sebastian; Lutz, Eric Physical Review Letters, Vol. 111, Issue 1 https://doi.org/10.1103/PhysRevLett.111.010402	journal	July 2013
Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space An, Shuoming; Lv, Dingshun; del Campo, Adolfo Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12999	journal	September 2016
Bounds on the capacity and power of quantum batteries Julià-Farré, Sergi; Salamon, Tymoteusz; Riera, Arnau Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023113	journal	May 2020
A general derivation and quantification of the third law of thermodynamics Masanes, Lluís; Oppenheim, Jonathan Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14538	journal	March 2017
Reexamination of pure qubit work extraction Frenzel, Max F.; Jennings, David; Rudolph, Terry Physical Review E, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevE.90.052136	journal	November 2014
Thermodynamic work from operational principles Gallego, R.; Eisert, J.; Wilming, H. New Journal of Physics, Vol. 18, Issue 10 https://doi.org/10.1088/1367-2630/18/10/103017	journal	October 2016
Sufficient and Necessary Condition for Zero Quantum Entropy Rates under any Coupling to the Environment Rodríguez-Rosario, César A.; Kimura, Gen; Imai, Hideki Physical Review Letters, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevLett.106.050403	journal	February 2011
High-Power Collective Charging of a Solid-State Quantum Battery Ferraro, Dario; Campisi, Michele; Andolina, Gian Marcello Physical Review Letters, Vol. 120, Issue 11 https://doi.org/10.1103/PhysRevLett.120.117702	journal	March 2018
The extraction of work from quantum coherence Korzekwa, Kamil; Lostaglio, Matteo; Oppenheim, Jonathan New Journal of Physics, Vol. 18, Issue 2 https://doi.org/10.1088/1367-2630/18/2/023045	journal	February 2016
Quantum Speed Limits in Open System Dynamics del Campo, A.; Egusquiza, I. L.; Plenio, M. B. Physical Review Letters, Vol. 110, Issue 5 https://doi.org/10.1103/PhysRevLett.110.050403	journal	January 2013
Quantum Speed Limit for Physical Processes Taddei, M. M.; Escher, B. M.; Davidovich, L. Physical Review Letters, Vol. 110, Issue 5 https://doi.org/10.1103/PhysRevLett.110.050402	journal	January 2013
Fluctuations of work from quantum subensembles: The case against quantum work-fluctuation theorems Allahverdyan, A. E.; Nieuwenhuizen, Th. M. Physical Review E, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevE.71.066102	journal	June 2005
Work Fluctuation-Dissipation Trade-Off in Heat Engines Funo, Ken; Ueda, Masahito Physical Review Letters, Vol. 115, Issue 26 https://doi.org/10.1103/PhysRevLett.115.260601	journal	December 2015
Maximal work extraction from finite quantum systems Allahverdyan, A. E.; Balian, R.; Nieuwenhuizen, Th. M. Europhysics Letters (EPL), Vol. 67, Issue 4 https://doi.org/10.1209/epl/i2004-10101-2	journal	August 2004
More bang for your buck: Super-adiabatic quantum engines Campo, A. del; Goold, J.; Paternostro, M. Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep06208	journal	August 2014
Autonomous quantum refrigerator in a circuit QED architecture based on a Josephson junction Hofer, Patrick P.; Perarnau-Llobet, Martí; Brask, Jonatan Bohr Physical Review B, Vol. 94, Issue 23 https://doi.org/10.1103/PhysRevB.94.235420	journal	December 2016
The role of quantum information in thermodynamics—a topical review Goold, John; Huber, Marcus; Riera, Arnau Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 14 https://doi.org/10.1088/1751-8113/49/14/143001	journal	February 2016
Role of coherence in the nonequilibrium thermodynamics of quantum systems Francica, G.; Goold, J.; Plastina, F. Physical Review E, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevE.99.042105	journal	April 2019
Virtual qubits, virtual temperatures, and the foundations of thermodynamics Brunner, Nicolas; Linden, Noah; Popescu, Sandu Physical Review E, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevE.85.051117	journal	May 2012
Resource Theory of Quantum States Out of Thermal Equilibrium Brandão, Fernando G. S. L.; Horodecki, Michał; Oppenheim, Jonathan Physical Review Letters, Vol. 111, Issue 25 https://doi.org/10.1103/PhysRevLett.111.250404	journal	December 2013
Work extraction from quantum systems with bounded fluctuations in work Richens, Jonathan G.; Masanes, Lluis Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13511	journal	November 2016
Performance bound for quantum absorption refrigerators Correa, Luis A.; Palao, José P.; Adesso, Gerardo Physical Review E, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevE.87.042131	journal	April 2013
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control Deffner, Sebastian; Campbell, Steve Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 45 https://doi.org/10.1088/1751-8121/aa86c6	journal	October 2017
Quantum Speed Limits across the Quantum-to-Classical Transition Shanahan, B.; Chenu, A.; Margolus, N. Physical Review Letters, Vol. 120, Issue 7 https://doi.org/10.1103/PhysRevLett.120.070401	journal	February 2018
Non-equilibrium quantum heat machines Alicki, Robert; Gelbwaser-Klimovsky, David New Journal of Physics, Vol. 17, Issue 11 https://doi.org/10.1088/1367-2630/17/11/115012	journal	November 2015
Correlating Thermal Machines and the Second Law at the Nanoscale Müller, Markus P. Physical Review X, Vol. 8, Issue 4 https://doi.org/10.1103/PhysRevX.8.041051	journal	December 2018
Entanglement Generation is Not Necessary for Optimal Work Extraction Hovhannisyan, Karen V.; Perarnau-Llobet, Martí; Huber, Marcus Physical Review Letters, Vol. 111, Issue 24 https://doi.org/10.1103/PhysRevLett.111.240401	journal	December 2013
Charger-mediated energy transfer in exactly solvable models for quantum batteries Andolina, Gian Marcello; Farina, Donato; Mari, Andrea Physical Review B, Vol. 98, Issue 20 https://doi.org/10.1103/PhysRevB.98.205423	journal	November 2018
Equivalence of Quantum Heat Machines, and Quantum-Thermodynamic Signatures Uzdin, Raam; Levy, Amikam; Kosloff, Ronnie Physical Review X, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevX.5.031044	journal	September 2015
Random quantum batteries Caravelli, Francesco; Coulter-De Wit, Ghislaine; García-Pintos, Luis Pedro Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023095	journal	April 2020
Enhancing the Charging Power of Quantum Batteries Campaioli, Francesco; Pollock, Felix A.; Binder, Felix C. Physical Review Letters, Vol. 118, Issue 15 https://doi.org/10.1103/PhysRevLett.118.150601	journal	April 2017
Quantum Coherence, Time-Translation Symmetry, and Thermodynamics Lostaglio, Matteo; Korzekwa, Kamil; Jennings, David Physical Review X, Vol. 5, Issue 2 https://doi.org/10.1103/PhysRevX.5.021001	journal	April 2015
Fundamental Limitations to Local Energy Extraction in Quantum Systems Alhambra, Álvaro M.; Styliaris, Georgios; Rodríguez-Briones, Nayeli A. Physical Review Letters, Vol. 123, Issue 19 https://doi.org/10.1103/PhysRevLett.123.190601	journal	November 2019
Catalytic Coherence Åberg, Johan Physical Review Letters, Vol. 113, Issue 15 https://doi.org/10.1103/PhysRevLett.113.150402	journal	October 2014
Coherence-enhanced efficiency of feedback-driven quantum engines Brandner, Kay; Bauer, Michael; Schmid, Michael T. New Journal of Physics, Vol. 17, Issue 6 https://doi.org/10.1088/1367-2630/17/6/065006	journal	June 2015
Fluctuating Work: From Quantum Thermodynamical Identities to a Second Law Equality Alhambra, Álvaro M.; Masanes, Lluis; Oppenheim, Jonathan Physical Review X, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevX.6.041017	journal	October 2016
On the operation of machines powered by quantum non-thermal baths Niedenzu, Wolfgang; Gelbwaser-Klimovsky, David; Kofman, Abraham G. New Journal of Physics, Vol. 18, Issue 8 https://doi.org/10.1088/1367-2630/18/8/083012	journal	August 2016
The maximum speed of dynamical evolution Margolus, Norman; Levitin, Lev B. Physica D: Nonlinear Phenomena, Vol. 120, Issue 1-2 https://doi.org/10.1016/S0167-2789(98)00054-2	journal	September 1998
Quantacell: powerful charging of quantum batteries Binder, Felix C.; Vinjanampathy, Sai; Modi, Kavan New Journal of Physics, Vol. 17, Issue 7 https://doi.org/10.1088/1367-2630/17/7/075015	journal	July 2015
Quantum Performance of Thermal Machines over Many Cycles Watanabe, Gentaro; Venkatesh, B. Prasanna; Talkner, Peter Physical Review Letters, Vol. 118, Issue 5 https://doi.org/10.1103/PhysRevLett.118.050601	journal	February 2017
Quantum-Classical Correspondence Principle for Work Distributions Jarzynski, Christopher; Quan, H. T.; Rahav, Saar Physical Review X, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevX.5.031038	journal	September 2015
Quantum versus classical many-body batteries Andolina, Gian Marcello; Keck, Maximilian; Mari, Andrea Physical Review B, Vol. 99, Issue 20 https://doi.org/10.1103/PhysRevB.99.205437	journal	May 2019
Collective operations can extremely reduce work fluctuations Perarnau-Llobet, Martí; Uzdin, Raam New Journal of Physics, Vol. 21, Issue 8 https://doi.org/10.1088/1367-2630/ab36a9	journal	August 2019
Quantum supremacy of many-particle thermal machines Jaramillo, J.; Beau, M.; Campo, A. del New Journal of Physics, Vol. 18, Issue 7 https://doi.org/10.1088/1367-2630/18/7/075019	journal	July 2016
Focus on quantum thermodynamics Anders, Janet; Esposito, Massimiliano New Journal of Physics, Vol. 19, Issue 1 https://doi.org/10.1088/1367-2630/19/1/010201	journal	January 2017
How Small Can Thermal Machines Be? The Smallest Possible Refrigerator Linden, Noah; Popescu, Sandu; Skrzypczyk, Paul Physical Review Letters, Vol. 105, Issue 13 https://doi.org/10.1103/PhysRevLett.105.130401	journal	September 2010
Fluctuation theorems: Work is not an observable Talkner, Peter; Lutz, Eric; Hänggi, Peter Physical Review E, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevE.75.050102	journal	May 2007
Quantum Statistical Enhancement of the Collective Performance of Multiple Bosonic Engines Watanabe, Gentaro; Venkatesh, B. Prasanna; Talkner, Peter Physical Review Letters, Vol. 124, Issue 21 https://doi.org/10.1103/PhysRevLett.124.210603	journal	May 2020
Quantum Heat Engines and Refrigerators: Continuous Devices Kosloff, Ronnie; Levy, Amikam Annual Review of Physical Chemistry, Vol. 65, Issue 1 https://doi.org/10.1146/annurev-physchem-040513-103724	journal	April 2014
Truly work-like work extraction via a single-shot analysis Åberg, Johan Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2712	journal	June 2013
Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines Latune, C. L.; Sinayskiy, I.; Petruccione, F. Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-39300-4	journal	February 2019
The Theory of Open Quantum Systems Breuer, Heinz-Peter; Petruccione, Francesco Oxford University Press https://doi.org/10.1093/acprof:oso/9780199213900.001.0001	book	January 2007
Colloquium : Quantum coherence as a resource Streltsov, Alexander; Adesso, Gerardo; Plenio, Martin B. Reviews of Modern Physics, Vol. 89, Issue 4 https://doi.org/10.1103/RevModPhys.89.041003	journal	October 2017
Fundamental limits on quantum dynamics based on entropy change Das, Siddhartha; Khatri, Sumeet; Siopsis, George Journal of Mathematical Physics, Vol. 59, Issue 1 https://doi.org/10.1063/1.4997044	journal	January 2018
Quantum speed limits, coherence, and asymmetry Marvian, Iman; Spekkens, Robert W.; Zanardi, Paolo Physical Review A, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevA.93.052331	journal	May 2016
No-Go Theorem for the Characterization of Work Fluctuations in Coherent Quantum Systems Perarnau-Llobet, Martí; Bäumer, Elisa; Hovhannisyan, Karen V. Physical Review Letters, Vol. 118, Issue 7 https://doi.org/10.1103/PhysRevLett.118.070601	journal	February 2017
Work extraction and thermodynamics for individual quantum systems Skrzypczyk, Paul; Short, Anthony J.; Popescu, Sandu Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5185	journal	June 2014

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