Nonequilibrium work distribution of a quantum harmonic oscillator
Open accessAbstract
We calculate analytically the work distribution of a quantum harmonic oscillator with arbitrary time-dependent angular frequency. We provide detailed expressions for the work probability density for adiabatic and nonadiabatic processes, in the limits of low and high temperature. We further verify the validity of the quantum Jarzynski equality.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The quantum speed limit time can also be increased when the energy of the system is decreased by the driving.
“On the other hand, we note that the quantum speed limit time can also be increased when the energy of the system is decreased by the driving [41].”
From Energy–time uncertainty relation for driven quantum systems (2013) · cites this paper as [41]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Nonequilibrium Equality for Free Energy Differences
Jarzynski, C. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2690 · Cited by 5,231 · see citing works
Prudnikov, A. P., Brychkov, Y. A., Marichev, O. I., & Romer, R. H. (1988) · American Journal of Physics · doi:10.1119/1.15375 · Cited by 2,910 · see citing works
Thermodynamics and an Introduction to Thermostatistics
Callen, H. B., & Griffiths, R. B. (1987) · American Journal of Physics · doi:10.1119/1.14986 · Cited by 2,236 · see citing works
Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach
Jarzynski, C. (1997) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.56.5018 · Cited by 1,396 · see citing works
Fluctuation theorems: Work is not an observable
Talkner, P., Lutz, E., & Hänggi, P. (2007) · Physical Review E · doi:10.1103/physreve.75.050102 · Cited by 753 · see citing works
Self-citationThe Nonequilibrium Thermodynamics of Small Systems
Bustamante, C., Liphardt, J., & Ritort, F. (2005) · Physics Today · doi:10.1063/1.2012462 · Cited by 629 · see citing works
Miscellanea in Elementary Quantum Mechanics, II
Husimi, K. (1953) · Progress of Theoretical Physics · doi:10.1143/ptp/9.4.381 · Cited by 411 · see citing works
Quantum Extension of the Jarzynski Relation: Analogy with Stochastic Dephasing
Mukamel, S. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.170604 · Cited by 273 · see citing works
The Tasaki–Crooks quantum fluctuation theorem
Talkner, P., & Hänggi, P. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/26/f08 · Cited by 143 · see citing works
Miscellanea in Elementary Quantum Mechanics, II
Husimi, K. (1953) · Progress of Theoretical Physics · doi:10.1143/ptp.9.381 · Cited by 117 · see citing works
Quantum version of free-energy–irreversible-work relations
Roeck, W. D., & Maes, C. (2004) · Physical Review E · doi:10.1103/physreve.69.026115 · Cited by 100 · see citing works
Jarzynski Relations for Quantum Systems and Some ApplicationsPreprint
Tasaki, H. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.cond-mat/0009244 · Cited by 94 · see citing works
Monnai, T. (2005) · Physical Review E · doi:10.1103/physreve.72.027102 · Cited by 79 · see citing works
Effect of Quantum Collapse on the Distribution of Work in Driven Single Molecules
Chernyak, V., & Mukamel, S. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.048302 · Cited by 47 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- ͓15͔ A. P. Prudnikov, Y. A. Brychow, and O. I. Marichev, Integrals and Series ͑Gordon and Breach, Amsterdam, 1990͒, Vol. 2.
Cited by
Sorted by citations
Colloquium: Quantum fluctuation relations: Foundations and applications
Campisi, M., Peter Hänggi, A., & Peter Talkner, A. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.771 · Cited by 1,278 · see citing works
Nanoscale Heat Engine Beyond the Carnot Limit
Roßnagel, J., Abah, O., Schmidt‐Kaler, F., Singer, K., & Lutz, E. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.030602 · Cited by 634 · see citing works
Self-citationSingle-Ion Heat Engine at Maximum Power
Abah, O., Roßnagel, J., Jacob, G., Deffner, S., Schmidt‐Kaler, F., Singer, K., & Lutz, E. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.203006 · Cited by 477 · see citing works
Self-citationGeneralized Clausius inequality for nonequilibrium quantum processes
Deffner, S., & Lutz, E. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.170402 · Cited by 245 · see citing works
Self-citationTrade-Off Between Speed and Cost in Shortcuts to Adiabaticity
Campbell, S., & Deffner, S. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.100601 · Cited by 235 · see citing works
Self-citationQuantum thermodynamic devices: From theoretical proposals to experimental reality
Myers, N. M., Abah, O., & Deffner, S. (2022) · AVS Quantum Science · doi:10.1116/5.0083192 · Cited by 220 · see citing works
Self-citationEnergy–time uncertainty relation for driven quantum systems
Deffner, S., & Lutz, E. (2013) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/46/33/335302 · Cited by 199 · see citing works
Self-citationColloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical
Peter Talkner, A., & Peter Hänggi, A. (2020) · Reviews of Modern Physics · doi:10.1103/revmodphys.92.041002 · Cited by 189 · see citing works
Efficiency of heat engines coupled to nonequilibrium reservoirs
Abah, O., & Lutz, E. (2014) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/106/20001 · Cited by 172 · see citing works
Self-citationEmploying Trapped Cold Ions to Verify the Quantum Jarzynski Equality
Huber, G., Schmidt‐Kaler, F., Deffner, S., & Lutz, E. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.070403 · Cited by 160 · see citing works
Self-citationQuantum-trajectory approach to the stochastic thermodynamics of a forced harmonic oscillator
Horowitz, J. M. (2012) · Physical Review E · doi:10.1103/physreve.85.031110 · Cited by 148 · see citing works
Thermodynamic laws in isolated systems
Hilbert, S., Peter Hänggi, A., & Dunkel, J. (2014) · Physical Review E · doi:10.1103/physreve.90.062116 · Cited by 136 · see citing works
Deng, J., Wang, Q., Liu, Z., Peter Hänggi, A., & Gong, J. (2013) · Physical Review E · doi:10.1103/physreve.88.062122 · Cited by 133 · see citing works
Quantum work and the thermodynamic cost of quantum measurements
Deffner, S., Paz, J. P., & Zurek, W. H. (2016) · Physical review. E · doi:10.1103/physreve.94.010103 · Cited by 122 · see citing works
Self-citationCoherent and dissipative dynamics at quantum phase transitions
Rossini, D., & Vicari, E. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.08.003 · Cited by 122 · see citing works
Fluctuation theorems in driven open quantum systems
Talkner, P., Campisi, M., & Hänggi, P. (2009) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2009/02/p02025 · Cited by 121 · see citing works
Fluctuation theorems in driven open quantum systemsPreprint
Peter Talkner, A., Campisi, M., & Peter Hänggi, A. (2012) · Cited by 110 · see citing works
Thermodynamics of discrete quantum processes
Anders, J., & Giovannetti, V. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/3/033022 · Cited by 103 · see citing works
Quantum-Classical Correspondence Principle for Work Distributions
Jarzynski, C., Quan, H. T., & Rahav, S. (2015) · Physical Review X · doi:10.1103/physrevx.5.031038 · Cited by 95 · see citing works
Non-hermitian quantum thermodynamics
Gardas, B., Deffner, S., & Saxena, A. (2016) · Scientific Reports · doi:10.1038/srep23408 · Cited by 96 · see citing works
Self-citationEnergy efficient quantum machines
Abah, O., & Lutz, E. (2017) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/118/40005 · Cited by 101 · see citing works
Self-citationPerformance of shortcut-to-adiabaticity quantum engines
Abah, O., & Lutz, E. (2018) · Physical review. E · doi:10.1103/physreve.98.032121 · Cited by 99 · see citing works
Self-citationFusco, L., Pigeon, S., Apollaro, T. J. G., Xuereb, A., Mazzola, L., Campisi, M., Ferraro, A., Paternostro, M., & Chiara, G. D. (2014) · Physical Review X · doi:10.1103/physrevx.4.031029 · Cited by 89 · see citing works
Quantum engines and refrigerators
Cangemi, L. M., Bhadra, C., & Levy, A. (2024) · Physics Reports · doi:10.1016/j.physrep.2024.07.001 · Cited by 100 · see citing works
Efficiency fluctuations of a quantum heat engine
Denzler, T., & Lutz, E. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.032062 · Cited by 79 · see citing works
Self-citationConcepts of work in autonomous quantum heat engines
Niedenzu, W., Huber, M., & Boukobza, E. (2019) · Quantum · doi:10.22331/q-2019-10-14-195 · Cited by 81 · see citing works
Quantum work statistics of linear and nonlinear parametric oscillators
Deffner, S., Abah, O., & Lutz, E. (2010) · Chemical Physics · doi:10.1016/j.chemphys.2010.04.042 · Cited by 74 · see citing works
Self-citationJarzynski Equality in PT -Symmetric Quantum Mechanics
Deffner, S., & Saxena, A. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.150601 · Cited by 73 · see citing works
Self-citationShortcut-to-adiabaticity Otto engine: A twist to finite-time thermodynamics
Abah, O., & Paternostro, M. (2019) · Physical review. E · doi:10.1103/physreve.99.022110 · Cited by 72 · see citing works
An out-of-equilibrium non-Markovian quantum heat engine
Pezzutto, M., Paternostro, M., & Omar, Y. (2018) · Quantum Science and Technology · doi:10.1088/2058-9565/aaf5b4 · Cited by 69 · see citing works
Statistics of the work done by splitting a one-dimensional quasicondensate
Sotiriadis, S., Gambassi, A., & Silva, A. (2013) · Physical Review E · doi:10.1103/physreve.87.052129 · Cited by 69 · see citing works
Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
Defenu, N., Lerose, A., & Pappalardi, S. (2024) · Physics Reports · doi:10.1016/j.physrep.2024.04.005 · Cited by 77 · see citing works
Employing circuit QED to measure non-equilibrium work fluctuations
Campisi, M., Blattmann, R., Kohler, S., Zueco, D., & Peter Hänggi, A. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/10/105028 · Cited by 70 · see citing works
Work distribution and edge singularities for generic time-dependent protocols in extended systems
Smacchia, P., & Silva, A. (2013) · Physical Review E · doi:10.1103/physreve.88.042109 · Cited by 65 · see citing works
Performance of quantum Otto refrigerators with squeezing
Long, R., & Liu, W. (2015) · Physical Review E · doi:10.1103/physreve.91.062137 · Cited by 64 · see citing works
Statistics of work performed on a forced quantum oscillator
Peter Talkner, A., Burada, P. S., & Peter Hänggi, A. (2008) · Physical Review E · doi:10.1103/physreve.78.011115 · Cited by 62 · see citing works
Shortcuts to adiabaticity from linear response theory
Acconcia, T. V., Bonança, M. V. S., & Deffner, S. (2015) · Physical Review E · doi:10.1103/physreve.92.042148 · Cited by 61 · see citing works
Self-citationEnergetic cost of quantum control protocols
Abah, O., Puebla, R., Kiely, A., Chiara, G. D., Paternostro, M., & Campbell, S. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab4c8c · Cited by 56 · see citing works
Thermodynamic length for far-from-equilibrium quantum systems
Deffner, S., & Lutz, E. (2013) · Physical Review E · doi:10.1103/physreve.87.022143 · Cited by 56 · see citing works
Self-citationShortcut-to-adiabaticity quantum Otto refrigerator
Abah, O., Paternostro, M., & Lutz, E. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023120 · Cited by 53 · see citing works
Self-citationStatistics of work and fluctuation theorems for microcanonical initial states
Peter Talkner, A., Morillo, M., Yi, J., & Peter Hänggi, A. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/9/095001 · Cited by 46 · see citing works
Occurrence of discontinuities in the performance of finite-time quantum Otto cycles
Zheng, Y., Peter Hänggi, A., & Poletti, D. (2016) · Physical review. E · doi:10.1103/physreve.94.012137 · Cited by 45 · see citing works
Reflections on Friction in Quantum Mechanics
Rezek, Y. (2010) · Entropy · doi:10.3390/e12081885 · Cited by 42 · see citing works
Non-equilibrium thermodynamics of harmonically trapped bosons
García-March, M. Á., Fogarty, T., Campbell, S., Busch, T., & Paternostro, M. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/10/103035 · Cited by 42 · see citing works
Validity of nonequilibrium work relations for the rapidly expanding quantum piston
Quan, H. T., & Jarzynski, C. (2012) · Physical Review E · doi:10.1103/physreve.85.031102 · Cited by 41 · see citing works
Singh, V., & Müstecaplıoğlu, Ö. E. (2020) · Physical review. E · doi:10.1103/physreve.102.062123 · Cited by 41 · see citing works
Measurement-based quantum heat engine in a multilevel system
Anka, M. F., de Oliveira, T. R., & Jonathan, D. (2021) · Physical review. E · doi:10.1103/physreve.104.054128 · Cited by 41 · see citing works
Energy cost and optimal entanglement production in harmonic chains
Galve, F., & Lutz, E. (2009) · Physical Review A · doi:10.1103/physreva.79.032327 · Cited by 38 · see citing works
Self-citationInterference of identical particles and the quantum work distribution
Gong, Z., Deffner, S., & Quan, H. T. (2014) · Physical Review E · doi:10.1103/physreve.90.062121 · Cited by 36 · see citing works
Self-citationHeat due to system-reservoir correlations in thermal equilibrium
Ankerhold, J., & Pekola, J. P. (2014) · Physical Review B · doi:10.1103/physrevb.90.075421 · Cited by 34 · see citing works
Nonequilibrium thermodynamic analysis of squeezing
Galve, F., & Lutz, E. (2009) · Physical Review A · doi:10.1103/physreva.79.055804 · Cited by 34 · see citing works
Self-citationGaussian Thermal Operations and The Limits of Algorithmic Cooling
Serafini, A., Lostaglio, M., Longden, S., Shackerley-Bennett, U., Hsieh, C.-Y., & Adesso, G. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.010602 · Cited by 33 · see citing works
Bounds on fluctuations for finite-time quantum Otto cycle
Saryal, S., & Agarwalla, B. K. (2021) · Physical review. E · doi:10.1103/physreve.103.l060103 · Cited by 33 · see citing works
Heat distribution of a quantum harmonic oscillator
Denzler, T., & Lutz, E. (2018) · Physical review. E · doi:10.1103/physreve.98.052106 · Cited by 32 · see citing works
Self-citationGroup-theoretical approach to the calculation of quantum work distribution
Fei, Z., & Quan, H. T. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.033175 · Cited by 30 · see citing works
Free-energy landscapes from adaptively biased methods: Application to quantum systems
Calvo, F. (2010) · Physical Review E · doi:10.1103/physreve.82.046703 · Cited by 28 · see citing works
Scaling properties of work fluctuations after quenches near quantum transitions
Nigro, D., Rossini, D., & Vicari, E. (2019) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/ab00e2 · Cited by 25 · see citing works
Quantum thermal machines driven by vacuum forces
Terças, H., Ribeiro, S., Pezzutto, M., & Omar, Y. (2017) · Physical review. E · doi:10.1103/physreve.95.022135 · Cited by 27 · see citing works
Efficiency statistics of a quantum Otto cycle
Fei, Z., Chen, J.-F., & Ma, Y. (2022) · Physical Review A · doi:10.1103/physreva.105.022609 · Cited by 27 · see citing works
Quantum-to-classical transition in the work distribution for chaotic systems
García-Mata, I., Roncaglia, A. J., & Wisniacki, D. A. (2017) · Physical review. E · doi:10.1103/physreve.95.050102 · Cited by 26 · see citing works
Quantum coherence and criticality in irreversible work
Varizi, A. D., Vieira, A. P., Cormick, C., Drumond, R. C., & Landi, G. T. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033279 · Cited by 26 · see citing works
Quantum Heat Engines with Singular Interactions
Myers, N. M., McCready, J., & Deffner, S. (2021) · Symmetry · doi:10.3390/sym13060978 · Cited by 26 · see citing works
Self-citationIncrease of Boltzmann entropy in a quantum forced harmonic oscillator
Campisi, M. (2008) · Physical Review E · doi:10.1103/physreve.78.051123 · Cited by 26 · see citing works
Unified trade-off optimization of quantum harmonic Otto engine and refrigerator
Singh, V., Singh, S., Abah, O., & Müstecaplıoğlu, Ö. E. (2022) · Physical review. E · doi:10.1103/physreve.106.024137 · Cited by 1 · see citing works
Maximum Power Output of Quantum Heat Engine with Energy Bath
Liu, S., & Ou, C. (2016) · Entropy · doi:10.3390/e18060205 · Cited by 24 · see citing works
Quantum fluctuation theorems in the strong damping limit
Deffner, S., Brunner, M., & Lutz, E. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/94/30001 · Cited by 24 · see citing works
Self-citationQuantum coherence and criticality in irreversible work
Varizi, A. D., Vieira, A. P., Cormick, M. C., Drumond, R. C., & Landi, G. T. (2020) · Conicet · Cited by 23 · see citing works
Optimal protocols for Hamiltonian and Schrödinger dynamics
Schmiedl, T., Dieterich, E., Dieterich, P.-S., & Seifert, U. (2009) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2009/07/p07013 · Cited by 23 · see citing works
Nonequilibrium work statistics of an Aharonov-Bohm flux
Yi, J., Peter Talkner, A., & Campisi, M. (2011) · Physical Review E · doi:10.1103/physreve.84.011138 · Cited by 23 · see citing works
Work distributions for random sudden quantum quenches
Łobejko, M., Łuczka, J., & Peter Talkner, A. (2017) · Physical review. E · doi:10.1103/physreve.95.052137 · Cited by 22 · see citing works
Kuna, M., & Naudts, J. (2010) · Reports on Mathematical Physics · doi:10.1016/s0034-4877(10)80007-2 · Cited by 22 · see citing works
Quantum work statistics of charged Dirac particles in time-dependent fields
Deffner, S., & Saxena, A. (2015) · Physical Review E · doi:10.1103/physreve.92.032137 · Cited by 21 · see citing works
Self-citationDynamically emergent quantum thermodynamics: Non-Markovian Otto cycle
Picatoste, I. A., Colla, A., & Breuer, H. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.013258 · Cited by 21 · see citing works
van Zon, R., de la Peña, L. H., Peslherbe, G. H., & Schofield, J. (2008) · Physical Review E · doi:10.1103/physreve.78.041104 · Cited by 20 · see citing works
van Zon, R., de la Peña, L. H., Peslherbe, G. H., & Schofield, J. (2008) · Physical Review E · doi:10.1103/physreve.78.041103 · Cited by 20 · see citing works
A quantum heat machine from fast optomechanics
Bennett, J. S., Madsen, L. S., Rubinsztein-Dunlop, H. H., & Bowen, W. P. (2020) · New Journal of Physics · doi:10.1088/1367-2630/abb73f · Cited by 19 · see citing works
Efficiency large deviation function of quantum heat engines
Denzler, T., & Lutz, E. (2021) · New Journal of Physics · doi:10.1088/1367-2630/ac09fe · Cited by 19 · see citing works
Self-citationNonequilibrium Green’s Function’s Approach to the Calculation of Work Statistics
Fei, Z., & Quan, H. T. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.240603 · Cited by 17 · see citing works
A quantum Otto engine with shortcuts to thermalization and adiabaticity
Pedram, A., Kadıoğlu, S. C., Kabakçıoğlu, A., & Müstecaplıoğlu, Ö. E. (2023) · New Journal of Physics · doi:10.1088/1367-2630/ad0857 · Cited by 16 · see citing works
Quantum work distribution for a driven diatomic molecule
Leonard, A. N., & Deffner, S. (2014) · Chemical Physics · doi:10.1016/j.chemphys.2014.10.020 · Cited by 16 · see citing works
Self-citationQuantum work for sudden quenches in Gaussian random Hamiltonians
Arrais, E. G., Wisniacki, D. A., Céleri, L. C., de Almeida, N. G., Roncaglia, A. J., & Toscano, F. (2018) · Physical review. E · doi:10.1103/physreve.98.012106 · Cited by 16 · see citing works
Nonlinear speed-ups in ultracold quantum gases
Deffner, S. (2022) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/ac9fed · Cited by 16 · see citing works
Self-citationNonequilibrium quantum thermodynamics in Coulomb crystals
Cosco, F., Borrelli, M., Silvi, P., Maniscalco, S., & Chiara, G. D. (2017) · Physical Review A · doi:10.1103/physreva.95.063615 · Cited by 14 · see citing works
Joint measurability in nonequilibrium quantum thermodynamics
Beyer, K. A., Uola, R., Luoma, K., & Strunz, W. T. (2022) · Physical review. E · doi:10.1103/physreve.106.l022101 · Cited by 14 · see citing works
Jarzynski Equality for Conditional Stochastic Work
Sone, A., & Deffner, S. (2021) · Journal of Statistical Physics · doi:10.1007/s10955-021-02720-6 · Cited by 14 · see citing works
Self-citationDemonstration of Jarzynski's equality in open quantum systems using a stepwise pulling protocol
Ngo, V. A., & Haas, S. (2012) · Physical Review E · doi:10.1103/physreve.86.031127 · Cited by 13 · see citing works
Jarzynski equality for conditional stochastic work
Sone, A., & Deffner, S. (2020) · Maryland Shared Open Access Repository (USMAI Consortium) · doi:10.13016/m2er0f-d5aw · Cited by 13 · see citing works
Self-citationQuantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion
Chen, J.-F., Qiu, T., & Quan, H. T. (2021) · Entropy · doi:10.3390/e23121602 · Cited by 12 · see citing works
Quantum work-fluctuation theorem: Exact case study for a perturbed oscillator
Monnai, T. (2010) · Physical Review E · doi:10.1103/physreve.81.011129 · Cited by 13 · see citing works
Quantum work fluctuations in connection with the Jarzynski equality
Jaramillo, J. D., Deng, J., & Gong, J. (2017) · Physical review. E · doi:10.1103/physreve.96.042119 · Cited by 13 · see citing works
Nonadiabatic Energy Fluctuations of Scale-Invariant Quantum Systems in a Time-Dependent Trap
Beau, M., & del Campo, A. (2020) · Entropy · doi:10.3390/e22050515 · Cited by 13 · see citing works
Vicari, E. (2019) · Physical Review A · doi:10.1103/physreva.99.043603 · Cited by 12 · see citing works
Optimization of asymmetric quantum Otto engine cycles
Shastri, R., & Venkatesh, B. P. (2022) · Physical review. E · doi:10.1103/physreve.106.024123 · Cited by 12 · see citing works
Bounds on nonequilibrium fluctuations for asymmetrically driven quantum Otto engines
Mohanta, S., Saha, M., Venkatesh, B. P., & Agarwalla, B. K. (2023) · Physical review. E · doi:10.1103/physreve.108.014118 · Cited by 12 · see citing works
Work fluctuations in bosonic Josephson junctions
Lena, R. G., Palma, G. M., & Chiara, G. D. (2016) · Physical Review A · doi:10.1103/physreva.93.053618 · Cited by 12 · see citing works
Entropy of the quantum work distribution
Kiely, A., O’Connor, E., Fogarty, T., Landi, G. T., & Campbell, S. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.l022010 · Cited by 12 · see citing works
Kaur, K., Rebari, S., & Singh, V. (2024) · Journal of Non-Equilibrium Thermodynamics · doi:10.1515/jnet-2024-0034 · Cited by 11 · see citing works
Mandal, A., & Hunt, K. L. C. (2015) · The Journal of Chemical Physics · doi:10.1063/1.4923181 · Cited by 11 · see citing works
Microcanonical work and fluctuation relations for an open system: An exactly solvable model
Subaşı, Y., & Jarzynski, C. (2013) · Physical Review E · doi:10.1103/physreve.88.042136 · Cited by 11 · see citing works
de la Peña, L. H., & Peslherbe, G. H. (2010) · The Journal of Physical Chemistry B · doi:10.1021/jp908742n · Cited by 11 · see citing works
- Authors
- Deffner, S., & Lutz, E.
- Affiliations
- University of Augsburg (DE)
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2008-02-27
- Volume
- 77
- Issue
- 2
- Pages
- 021128-021128
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2108585323
- Cited by
- 167
- References
- 12
- Citations by year
- 2026: 4 · 2025: 6 · 2024: 12 · 2023: 13 · 2022: 12 · 2021: 12 · 2020: 19 · 2019: 10 · 2018: 5 · 2017: 10 · 2016: 7 · 2015: 8 · 2014: 9 · 2013: 9 · 2012: 7
- FWCI
- 6.17
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review E (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Maryland Shared Open Access Repository (USMAI Consortium) (submittedVersion)
- arXiv (Cornell University)
- Digital Repository at the University of Maryland (University of Maryland College Park)
- Funders
- Deutsche Forschungsgemeinschaft
- 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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum harmonic oscillator, adiabatic processes, nonadiabatic processes, low-temperature limit, high-temperature limit
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
