Canonical versus noncanonical equilibration dynamics of open quantum systems
Open accessAbstract
In statistical mechanics, any quantum system in equilibrium with its weakly coupled reservoir is described by a canonical state at the same temperature as the reservoir. Here, by studying the equilibration dynamics of a harmonic oscillator interacting with a reservoir, we evaluate microscopically the condition under which the equilibration to a canonical state is valid. It is revealed that the non-Markovian effect and the availability of a stationary state of the total system play a profound role in the equilibration. In the Markovian limit, the conventional canonical state can be recovered. In the non-Markovian regime, when the stationary state is absent, the system equilibrates to a generalized canonical state at an effective temperature; whenever the stationary state is present, the equilibrium state of the system cannot be described by any canonical state anymore. Our finding of the physical condition on such noncanonical equilibration might have significant impact on statistical physics. A physical scheme based on circuit QED is proposed to test our results.
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Our mechanism is applicable to a dissipative harmonic oscillator, whose dynamics is governed by the same bound-state mechanism as our TLS, and the spin-boson model, where the bound state has been found playing a leading role in the quantum phase transition.
“Our mechanism is applicable to a dissipative harmonic oscillator, whose dynamics is governed by the same bound-state mechanism as our TLS [45, 46], and the spinboson model, where the bound state has been found playing a leading role in the quantum phase transition of the model [39, 47].”
From Mechanism for quantum speedup in open quantum systems (2016) · cites this paper as [46]
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- Authors
- Yang, C.-J., An, J.-H., Luo, H.-G., Li, Y., & Oh, C. H.
- Affiliations
- China Academy of Space Technology (CN)
- Centre for Quantum Technologies (SG)
- Beijing Computational Science Research Center (CN)
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2014-08-20
- Volume
- 90
- Issue
- 2
- Pages
- 022122-022122
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2017048957
- Cited by
- 38
- References
- 53
- Citations by year
- 2026: 5 · 2025: 3 · 2024: 2 · 2023: 3 · 2022: 4 · 2021: 5 · 2020: 4 · 2019: 3 · 2018: 2 · 2017: 1 · 2016: 3 · 2015: 3
- FWCI
- 1.54
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review E (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Lanzhou University Institutional Repository (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Natural Science Foundation of China (11175072, 11174115, 11325417, 61271145)
- Ministry of Education - Singapore (WBS: R-710-000-008-271)
- 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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- open quantum systems, equilibration dynamics, canonical states, non-Markovian effects, Markovian limit, effective temperature, stationary states, harmonic oscillator, reservoir coupling, circuit quantum electrodynamics
- MeSH terms
- Quantum Theory, Models, Statistical
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