Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme

Sone, Akira; Liu, Yi-Xiang; Cappellaro, Paola

doi:10.1103/physrevlett.125.060602

Title: Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme

Journal Article · Fri Aug 07 00:00:00 EDT 2020 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.125.060602· OSTI ID:1825433

^[1]; Liu, Yi-Xiang ^[2];

^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

In open quantum systems, a clear distinction between work and heat is often challenging, and extending the quantum Jarzynski equality to systems evolving under general quantum channels beyond unitality remains an open problem in quantum thermodynamics. In this Letter, we introduce well-defined notions of guessed quantum heat and guessed quantum work, by exploiting the one-time measurement scheme, which only requires an initial energy measurement on the system alone. We derive a modified quantum Jarzynski equality and the principle of maximum work with respect to the guessed quantum work, which requires the knowledge of the system only. We further show the significance of guessed quantum heat and work by linking them to the problem of quantum hypothesis testing.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1825433

Report Number(s):: LA-UR-19-32640; TRN: US2215810

Journal Information:: Physical Review Letters, Vol. 125, Issue 6; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (40)

Nanoscale Vector dc Magnetometry via Ancilla-Assisted Frequency Up-Conversion Liu, Yi-Xiang; Ajoy, Ashok; Cappellaro, Paola Physical Review Letters, Vol. 122, Issue 10 https://doi.org/10.1103/PhysRevLett.122.100501	journal	March 2019
Fluctuation theorems for quantum processes Albash, Tameem; Lidar, Daniel A.; Marvian, Milad Physical Review E, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevE.88.032146	journal	September 2013
Classical and Quantum Fluctuation Theorems for Heat Exchange Jarzynski, Christopher; Wójcik, Daniel K. Physical Review Letters, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevLett.92.230602	journal	June 2004
Fluctuation theorems in driven open quantum systems Talkner, Peter; Campisi, Michele; Hänggi, Peter Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 02 https://doi.org/10.1088/1742-5468/2009/02/P02025	journal	February 2009
Near-Equilibrium Measurements of Nonequilibrium Free Energy Sivak, David A.; Crooks, Gavin E. Physical Review Letters, Vol. 108, Issue 15 https://doi.org/10.1103/PhysRevLett.108.150601	journal	April 2012
Holevo's bound from a general quantum fluctuation theorem Kafri, Dvir; Deffner, Sebastian Physical Review A, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevA.86.044302	journal	October 2012
Nonequilibrium Quantum Landauer Principle Goold, John; Paternostro, Mauro; Modi, Kavan Physical Review Letters, Vol. 114, Issue 6 https://doi.org/10.1103/PhysRevLett.114.060602	journal	February 2015
Experimental Reconstruction of Work Distribution and Study of Fluctuation Relations in a Closed Quantum System Batalhão, Tiago B.; Souza, Alexandre M.; Mazzola, Laura Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.140601	journal	October 2014
Information Theory and Statistical Mechanics Jaynes, E. T. Physical Review, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRev.106.620	journal	May 1957
Quantum work statistics close to equilibrium Scandi, Matteo; Miller, Harry J. D.; Anders, Janet Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023377	journal	June 2020
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
Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies Collin, D.; Ritort, F.; Jarzynski, C. Nature, Vol. 437, Issue 7056 https://doi.org/10.1038/nature04061	journal	September 2005
Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production Manzano, Gonzalo; Horowitz, Jordan M.; Parrondo, Juan M. R. Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031037	journal	August 2018
Inverting Quantum Decoherence by Classical Feedback from the Environment Buscemi, Francesco; Chiribella, Giulio; Mauro D’Ariano, Giacomo Physical Review Letters, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevLett.95.090501	journal	August 2005
Strong converse and Stein's lemma in quantum hypothesis testing Nagaoka, H.; Ogawa, T. IEEE Transactions on Information Theory, Vol. 46, Issue 7 https://doi.org/10.1109/18.887855	journal	January 2000
Nonequilibrium quantum-heat statistics under stochastic projective measurements Gherardini, Stefano; Buffoni, Lorenzo; Müller, Matthias M. Physical Review E, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevE.98.032108	journal	September 2018
Quantum Jarzynski equality of measurement-based work extraction Morikuni, Yohei; Tajima, Hiroyasu; Hatano, Naomichi Physical Review E, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevE.95.032147	journal	March 2017
Experimental test of the quantum Jarzynski equality with a trapped-ion system An, Shuoming; Zhang, Jing-Ning; Um, Mark Nature Physics, Vol. 11, Issue 2 https://doi.org/10.1038/nphys3197	journal	December 2014
Thermodynamics of information Parrondo, Juan M. R.; Horowitz, Jordan M.; Sagawa, Takahiro Nature Physics, Vol. 11, Issue 2 https://doi.org/10.1038/nphys3230	journal	February 2015
Quantum Fluctuation Theorems beyond Two-Point Measurements Micadei, Kaonan; Landi, Gabriel T.; Lutz, Eric Physical Review Letters, Vol. 124, Issue 9 https://doi.org/10.1103/PhysRevLett.124.090602	journal	March 2020
Quantum Extension of the Jarzynski Relation: Analogy with Stochastic Dephasing Mukamel, Shaul Physical Review Letters, Vol. 90, Issue 17 https://doi.org/10.1103/PhysRevLett.90.170604	journal	May 2003
Nonequilibrium Equality for Free Energy Differences Jarzynski, C. Physical Review Letters, Vol. 78, Issue 14 https://doi.org/10.1103/PhysRevLett.78.2690	journal	April 1997
Thermodynamics of Prediction Still, Susanne; Sivak, David A.; Bell, Anthony J. Physical Review Letters, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevLett.109.120604	journal	September 2012
Generalized Jarzynski Equality under Nonequilibrium Feedback Control Sagawa, Takahiro; Ueda, Masahito Physical Review Letters, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevLett.104.090602	journal	March 2010
The role of quantum coherence in non-equilibrium entropy production Santos, Jader P.; Céleri, Lucas C.; Landi, Gabriel T. npj Quantum Information, Vol. 5, Issue 1 https://doi.org/10.1038/s41534-019-0138-y	journal	March 2019
The thermodynamic cost of driving quantum systems by their boundaries Barra, Felipe Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep14873	journal	October 2015
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 lost and found Gregoratti, M.; Werner, R. F. Journal of Modern Optics, Vol. 50, Issue 6-7 https://doi.org/10.1080/09500340308234541	journal	April 2003
Generalized laws of thermodynamics in the presence of correlations Bera, Manabendra N.; Riera, Arnau; Lewenstein, Maciej Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-02370-x	journal	December 2017
Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality Toyabe, Shoichi; Sagawa, Takahiro; Ueda, Masahito Nature Physics, Vol. 6, Issue 12 https://doi.org/10.1038/nphys1821	journal	November 2010
Verification of the quantum nonequilibrium work relation in the presence of decoherence Smith, Andrew; Lu, Yao; An, Shuoming New Journal of Physics, Vol. 20, Issue 1 https://doi.org/10.1088/1367-2630/aa9cd6	journal	January 2018
Experimental test of exchange fluctuation relations in an open quantum system Hernández-Gómez, S.; Gherardini, S.; Poggiali, F. Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023327	journal	June 2020
Colloquium : Quantum fluctuation relations: Foundations and applications Campisi, Michele; Hänggi, Peter; Talkner, Peter Reviews of Modern Physics, Vol. 83, Issue 3 https://doi.org/10.1103/RevModPhys.83.771	journal	July 2011
Energetic footprints of irreversibility in the quantum regime Mohammady, M. H.; Auffèves, A.; Anders, J. Communications Physics, Vol. 3, Issue 1 https://doi.org/10.1038/s42005-020-0356-9	journal	May 2020
Non-equilibrium equalities with unital quantum channels Rastegin, Alexey E. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 06 https://doi.org/10.1088/1742-5468/2013/06/P06016	journal	June 2013
Jarzynski equality for quantum stochastic maps Rastegin, Alexey E.; Życzkowski, Karol Physical Review E, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevE.89.012127	journal	January 2014
Fluctuation Theorem for Arbitrary Open Quantum Systems Campisi, Michele; Talkner, Peter; Hänggi, Peter Physical Review Letters, Vol. 102, Issue 21 https://doi.org/10.1103/PhysRevLett.102.210401	journal	May 2009
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
Quantum work and the thermodynamic cost of quantum measurements Deffner, Sebastian; Paz, Juan Pablo; Zurek, Wojciech H. Physical Review E, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevE.94.010103	journal	July 2016
A Reversible Theory of Entanglement and its Relation to the Second Law Brandão, Fernando G. S. L.; Plenio, Martin B. Communications in Mathematical Physics, Vol. 295, Issue 3 https://doi.org/10.1007/s00220-010-1003-1	journal	February 2010

Similar Records

Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir

Journal Article · Tue Jan 01 00:00:00 EST 2008 · Physical Review E · OSTI ID:1825433

Quan, H T; Dong, H

Jarzynski Equality for Conditional Stochastic Work

Journal Article · Mon Apr 05 00:00:00 EDT 2021 · Journal of Statistical Physics · OSTI ID:1825433

Sone, Akira; Deffner, Sebastian

Jarzynski equality in PT-symmetric quantum mechanics

Journal Article · Mon Apr 13 00:00:00 EDT 2015 · Physical Review Letters · OSTI ID:1825433

Deffner, Sebastian; Saxena, Avadh

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Mathematics
quantum
Jarzynski
equality
thermodynamics
heat
work
Fluctuation theorems
Nonequilibrium & irreversible thermodynamics
Nonequilibrium statistical mechanics
Quantum correlations in quantum information
Quantum thermodynamics
Work theorems

Title: Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme

Citation Formats

References (40)

Similar Records

Related Subjects