Cost of counterdiabatic driving and work output
Open accessAbstract
Unitary processes allow for the transfer of work to and from Hamiltonian systems. However, to achieve nonzero power for the practical extraction of work, these processes must be performed within a finite time, which inevitably induces excitations in the system. We show that depending on the time scale of the process and the physical realization of the external driving employed, the use of counterdiabatic quantum driving to extract more work is not always effective. We also show that by virtue of the two-time energy measurement definition of quantum work, the cost of counterdiabatic driving can be significantly reduced by selecting a restricted form of the driving Hamiltonian that depends on the outcome of the first energy measurement. Lastly, we introduce a measure, the exigency, that quantifies the need for an external driving to preserve quantum adiabaticity which does not require knowledge of the explicit form of the counterdiabatic drivings, and can thus always be computed. We apply our analysis to systems ranging from a two-level Landau-Zener problem to many-body problems, namely, the quantum Ising and Lipkin-Meshkov-Glick models.
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Shortcuts to adiabaticity can make the compression and expansion strokes of a quantum Otto cycle occur in finite time.
“To circumvent this issue the use of 'shortcuts to adiabaticity' has been proposed to ensure the compression/expansion strokes are performed in a finite time, τ [81,88]”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [88]
For a single two-level spin, the time derivative of the cost is proportional to the average power input.
“It is easy to see that for a single 2-level spin, ∂ t C is proportional to the average power input [88], i.e.H 1 (t) reduces to an orthogonal, magnetic field.”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [88]
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- Authors
- Zheng, Y., Campbell, S., De Chiara, G., & Poletti, D.
- Affiliations
- Singapore University of Technology and Design (SG)
- Queen's University Belfast (GB)
- Centre National de la Recherche Scientifique (FR)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2016-10-28
- Volume
- 94
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 2469-9926
- 2469-9934
- OpenAlex
- W2543062628
- Cited by
- 103
- References
- 74
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 10 · 2023: 5 · 2022: 14 · 2021: 12 · 2020: 7 · 2019: 17 · 2018: 13 · 2017: 11 · 2016: 3
- FWCI
- 8.21
- Type
- journal article
- Language
- en
- Open access
- green
- pure.qub.ac.uk
- Licence
- Locations
- Physical Review A (publishedVersion)
- Research Portal (Queen's University Belfast) (publishedVersion, other-oa)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Singapore University of Technology and Design (EPD2012-045)
- Ministry of Education - Singapore (MOE2014-T2-2-119, WBS R-144-000-350-112)
- John Templeton Foundation (ID 43467)
- European Cooperation in Science and Technology (MP1209)
- 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 › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- counterdiabatic driving, quantum work, Landau-Zener problem, quantum Ising model, Lipkin-Meshkov-Glick model, many-body systems
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