Initial correlations in open-systems dynamics: The Jaynes-Cummings model
Open accessAbstract
Employing the trace distance as a measure for the distinguishability of quantum states, we study the influence of initial correlations on the dynamics of open systems. We concentrate on the Jaynes-Cummings model for which the knowledge of the exact joint dynamics of system and reservoir allows the treatment of initial states with arbitrary correlations. As a measure for the correlations in the initial state we consider the trace distance between the system-environment state and the product of its marginal states. In particular, we examine the correlations contained in the thermal equilibrium state for the total system, analyze their dependence on the temperature and on the coupling strength, and demonstrate their connection to the entanglement properties of the eigenstates of the Hamiltonian. A detailed study of the time dependence of the distinguishability of the open system states evolving from the thermal equilibrium state and its corresponding uncorrelated product state shows that the open system dynamically uncovers typical features of the initial correlations.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The Bures distance or the fidelity leads to useful lower and upper bounds for the trace distance.
“It seems that in those cases it is much easier to work with the Bures distance or the fidelity which also leads to useful lower and upper bounds for the trace distance [55].”
From Foundations and measures of quantum non-Markovianity (2012) · cites this paper as [55]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
The citation lists haven’t been fetched yet
References 41 · Cited by 125
Research works printed but not linked: 1
- E.-M. Laine, J. Piilo, and H.-P. Breuer, e-print arXiv:1004.2184 [quant-ph]. · arXiv
- Authors
- Smirne, A., Breuer, H.-P., Piilo, J., & Vacchini, B.
- Affiliations
- University of Milan (IT)
- University of Freiburg (DE)
- University of Turku (FI)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-12-23
- Volume
- 82
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2087409801
- Cited by
- 125
- References
- 41
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 9 · 2023: 1 · 2022: 5 · 2021: 10 · 2020: 8 · 2019: 8 · 2018: 7 · 2017: 8 · 2016: 8 · 2015: 9 · 2014: 4 · 2013: 20 · 2012: 15
- FWCI
- 14.19
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano) (submittedVersion, other-oa)
- FreiDok plus (Universitätsbibliothek Freiburg) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Academy of Finland (133682)
- Ministero dell’Istruzione, dell’Università e della Ricerca (PRIN 2008)
- Magnus Ehrnroothin Säätiö
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- 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
- Keywords
- initial correlations, open quantum systems, Jaynes-Cummings model, trace distance, distinguishability, system-environment correlations, thermal equilibrium, entanglement
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
