The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
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.
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“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]
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Cites
Nonequilibrium Equality for Free Energy Differences
Jarzynski, C. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2690 · Cited by 5,231
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
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
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 1,380
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
Self-citationThe Nonequilibrium Thermodynamics of Small Systems
Bustamante, C., Liphardt, J., & Ritort, F. (2005) · Physics Today · doi:10.1063/1.2012462 · Cited by 629
Miscellanea in Elementary Quantum Mechanics, II
Husimi, K. (1953) · Progress of Theoretical Physics · doi:10.1143/ptp/9.4.381 · Cited by 411
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
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
Miscellanea in Elementary Quantum Mechanics, II
Husimi, K. (1953) · Progress of Theoretical Physics · doi:10.1143/ptp.9.381 · Cited by 117
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
Jarzynski Relations for Quantum Systems and Some ApplicationsPreprint
Tasaki, H. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.cond-mat/0009244 · Cited by 94
Monnai, T. (2005) · Physical Review E · doi:10.1103/physreve.72.027102 · Cited by 79
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
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Research works printed but not linked: 2
- J. Liphard, 2002, Science, 296, 1842
- A. P. Prudnikov, 1990, Integrals and Series
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
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 631
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
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
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
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Metadata
- 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
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