Adiabatic approximation in open quantum systems
Open accessAbstract
We generalize the standard quantum adiabatic approximation to the case of open quantum systems. We define the adiabatic limit of an open quantum system as the regime in which its dynamical superoperator can be decomposed in terms of independently evolving Jordan blocks. We then establish validity and invalidity conditions for this approximation and discuss their applicability to superoperators changing slowly in time. As an example, the adiabatic evolution of a two-level open system is analyzed.
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Markovian dynamics requires either the singular coupling limit (high temperature) or the weak coupling limit (weak system-bath interaction).
“Namely, Markovian dynamics requires either the singular coupling limit (high temperature), or the weak coupling limit (weak system-bath interaction).”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [36]
The KMS condition implies a strong asymmetry of the spectral density G(ω) for low T, where T is measured relative to the presence of kT energy scales in the bath.
“The KMS condition implies a strong asymmetry of the spectral density G ( ω ) for low T , where T is measured relative to the presence of kT energy scales in the bath, i.e., relative to the range where G ( ω ) is non-vanishing.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [36]
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- Authors
- Sarandy, M. S., & Lidar, D. A.
- Affiliations
- University of Toronto (CA)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-01-26
- Volume
- 71
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1964814580
- Cited by
- 198
- References
- 42
- Citations by year
- 2026: 7 · 2025: 10 · 2024: 9 · 2023: 7 · 2022: 10 · 2021: 16 · 2020: 15 · 2019: 12 · 2018: 8 · 2017: 11 · 2016: 6 · 2015: 7 · 2014: 10 · 2013: 4 · 2012: 8
- FWCI
- 6.33
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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 › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- adiabatic approximation, open quantum systems, superoperators, Jordan blocks, adiabatic limit, two-level system, validity conditions
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