The quantum open system as a model of the heat engine
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The quantum open system weakly coupled to thermal reservoirs at different temperatures and under the influence of slowly varying external conditions is studied. The famous Carnot inequality for the efficiency of any heat engine is obtained.
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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 [35]
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 [35]
The singular coupling limit physically makes sense only in the high-temperature limit.
“It is based on a rescaling of the bath and system-bath Hamiltonians, which physically makes sense in the hightemperature limit only.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [35]
As a consequence of the KMS condition (15) and condition (18), for a generic initial state the system tends to its thermal equilibrium (Gibbs) state at the temperature of the heat bath.
“Namely, as a consequence of the KMS condition (15) and the condition (18), for a generic initial state the system tends to its thermal equilibrium (Gibbs) state at the temperature of the heat bath [35].”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [35]
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Cites
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Virtual qubits, virtual temperatures, and the foundations of thermodynamics
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- Authors
- Alicki, R.
- Affiliations
- University of Gdańsk (PL)
- Corresponding author
- Alicki, R
- ORCID
- Alicki, R
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1979-05
- Volume
- 12
- Issue
- 5
- Pages
- L103-L107
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2002506506
- Cited by
- 765
- References
- 11
- Citations by year
- 2026: 44 · 2025: 63 · 2024: 58 · 2023: 65 · 2022: 64 · 2021: 75 · 2020: 63 · 2019: 64 · 2018: 52 · 2017: 46 · 2016: 44 · 2015: 24 · 2014: 18 · 2013: 13 · 2012: 9
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Physics A Mathematical and General (publishedVersion)
- 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
- open quantum systems, heat engines, Carnot efficiency, heat bath, quantum thermodynamics
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