Generating shortcuts to adiabaticity in quantum and classical dynamics
Open accessAbstract
Transitionless quantum driving achieves adiabatic evolution in a hurry, using a counterdiabatic Hamiltonian to stifle nonadiabatic transitions. Here this shortcut to adiabaticity is cast in terms of a generator of adiabatic transport. This yields a classical analog of transitionless driving, and provides a strategy for constructing quantal counterdiabatic Hamiltonians. As an application of this framework, exact classical and quantal counterdiabatic terms are obtained for a particle in a box and for even-power-law potentials in one degree of freedom.
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The method of counter-diabatic driving circumvents the bottleneck of the adiabatic regime where proposals for implementation on current devices work with an approximate two-parameter Hamiltonian.
“The method of counter-diabatic driving [190] circumvents the bottleneck of the adiabatic regime where proposals for implementation on current devices work with an approximate two-parameter Hamiltonian [111].”
From Quantum Combinatorial Optimization in the NISQ Era: A Systematic Mapping Study (2024) · cites this paper as [190]
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Quantum Combinatorial Optimization in the NISQ Era: A Systematic Mapping Study
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“The method of counter-diabatic driving [190] circumvents the bottle-neck of the adiabatic regime where proposals for implementation on current devices work with an approximate two-parameter Hamiltonian [111].”
Method
- Authors
- Jarzynski, C.
- Affiliations
- University of Maryland, College Park (US)
- Corresponding author
- Jarzynski, Christopher
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2013-10-04
- Volume
- 88
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2060246281
- Cited by
- 159
- References
- 28
- Citations by year
- 2026: 8 · 2025: 11 · 2024: 12 · 2023: 7 · 2022: 11 · 2021: 23 · 2020: 15 · 2019: 13 · 2018: 13 · 2017: 15 · 2016: 8 · 2015: 8 · 2014: 13 · 2013: 2
- FWCI
- 5.32
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- shortcuts to adiabaticity, transitionless quantum driving, nonadiabatic transitions, particle in a box, quantum dynamics
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