Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving
Open accessAbstract
A natural nonequilibrium process that takes a system from one equilibrium state to another in a short time always involves dissipation. But, it's actually possible in quantum control to design and implement dissipationless ``shortcuts'' for quantum systems. Scientists add a few concrete practical tools for achieving this goal.
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For the Landau-Zener model, the counterdiabatic correction term is H1 = - g'(t)Δ / (2(Δ^2 + [g(t)]^2)) σ_y.
“The corresponding correction term (1) is readily determined to be [18] H 1 ¼ - g 0 ðtÞΔ 2ðΔ 2 þ ½gðtÞ 2 Þ σ y ;”
From Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity (2017) · cites this paper as [18]
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- Authors
- Deffner, S., Jarzynski, C., & del Campo, A.
- Affiliations
- University of Maryland, College Park (US)
- Venue
- Physical Review X
- Publisher
- American Physical Society (APS)
- Published
- 2014-04-22
- Volume
- 4
- Issue
- 2
- ISSN
- 2160-3308 (ISSN-L)
- OpenAlex
- W2026554739
- Cited by
- 288
- References
- 95
- Citations by year
- 2026: 8 · 2025: 14 · 2024: 17 · 2023: 12 · 2022: 18 · 2021: 41 · 2020: 40 · 2019: 24 · 2018: 35 · 2017: 28 · 2016: 20 · 2015: 16 · 2014: 15
- FWCI
- 17.16
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Physical Review X (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Maryland Shared Open Access Repository (USMAI Consortium) (submittedVersion, public-domain)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Digital Repository at the University of Maryland (University of Maryland College Park) (public-domain)
- Funders
- National Science Foundation (DMR-1206971)
- U.S. Department of Energy
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- shortcuts to adiabaticity, quantum control, nonequilibrium dynamics, adiabaticity, quantum dissipation
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