The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
A generalized stochastic liouville equation. Non-Markovian versus memoryless master equations
Overview
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
Verification
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.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Coherent and Incoherent States of the Radiation Field
Glauber, R. J. (1963) · Physical Review · doi:10.1103/physrev.131.2766 · Cited by 6,797
On the identity of three generalized master equations
Zwanzig, R. (1964) · Physica · doi:10.1016/0031-8914(64)90102-8 · Cited by 711
Time evolution, correlations, and linear response of non-Markov processes
H�nggi, P., & Thomas, H. (1977) · Zeitschrift f�r Physik B Condensed Matter and Quanta · doi:10.1007/bf01313376 · Cited by 125
Microdynamics and time-evolution of macroscopic non-Markovian systems
Grabert, H., Peter Talkner, A., & Peter Hänggi, A. (1977) · The European Physical Journal B · doi:10.1007/bf01570749 · Cited by 66
Research works printed but not linked: 6
- M. Tokuyama and H. Mori,Prog. Theor. Phys. 55:411 (1976). · doi:10.1143/ptp.55.411
- A. Fulinski and W. J. Kramarczyk,Physica 39:575 (1968); T. Shimizu,J. Phys. Soc. Japan 28:1088 (1970); V. P. Vstovsky,Phys. Lett. 44:283 (1973). · doi:10.1016/0031-8914(68)90033-5
- N. Hashitsume, F. Shibata, and M. Shing¯u,J. Stat. Phys. 17:155 (1977). · doi:10.1007/bf01040099
- R. Kubo, inFluctuation, Relaxation and Resonance in Magnetic Systems, D. ter Haar, ed. (Oliver and Boyd, Edinburgh, 1962), p. 23;J. Math. Phys. 4:174 (1963);Adv. Chem. Phys. 16:101 (1969).
- Y. Takahashi and F. Shibata,J. Phys. Soc. Japan 38:656 (1975);J. Stat. Phys. 14:49 (1976). · doi:10.1143/jpsj.38.656
- R. Kubo and N. Hashitsume,Prog. Theor. Phys. Suppl. 46:210 (1970). · doi:10.1143/ptps.46.210
Cited by
Quantum non-Markovianity: characterization, quantification and detection
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/9/094001 · Cited by 1,035
Concepts and Methods in the Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2003) · Lecture Notes in Physics · doi:10.1007/3-540-44874-8_4 · Cited by 746
Ishizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155372 · Cited by 734
Concepts of quantum non-Markovianity: A hierarchy
Li, L., Hall, M. J. W., & Wiseman, H. M. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.07.001 · Cited by 353
Chaturvedi, S., & Shibata, F. (1979) · Zeitschrift f�r Physik B Condensed Matter and Quanta · doi:10.1007/bf01319852 · Cited by 305
Self-citationNon-Markovian Quantum Dynamics: Local versus Nonlocal
Chruściński, D., & Kossakowski, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.070406 · Cited by 261
Foundations and measures of quantum non-Markovianity
Breuer, H.-P. (2012) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/45/15/154001 · Cited by 225
Non-Markovian generalization of the Lindblad theory of open quantum systems
Breuer, H.-P. (2007) · Physical Review A · doi:10.1103/physreva.75.022103 · Cited by 196
Finding the Kraus decomposition from a master equation and vice versa
Andersson, E., Cresser, J. D., & Hall, M. J. W. (2007) · Journal of Modern Optics · doi:10.1080/09500340701352581 · Cited by 155
Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
Breuer, H.-P., Gemmer, J., & Michel, M. (2006) · Physical Review E · doi:10.1103/physreve.73.016139 · Cited by 134
Alternative non-Markovianity measure by divisibility of dynamical maps
Hou, S. C., Yi, X. X., Yu, S. X., & Oh, C. H. (2011) · Physical Review A · doi:10.1103/physreva.83.062115 · Cited by 115
Non-Markovian dynamics of a qubit coupled to an Ising spin bath
Krovi, H., Oreshkov, O., Ryazanov, M., & Lidar, D. A. (2007) · Physical Review A · doi:10.1103/physreva.76.052117 · Cited by 70
Markovianity criteria for quantum evolution
Chruściński, D., & Kossakowski, A. (2012) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/45/15/154002 · Cited by 54
Metadata
- Authors
- Shibata, F., Takahashi, Y., & Hashitsume, N.
- Venue
- Journal of Statistical Physics
- Published
- 1977-10
- Volume
- 17
- Issue
- 4
- Pages
- 171-187
- ISSN
- 0022-4715 (ISSN-L)
- 1572-9613
- OpenAlex
- W2049220845
- Cited by
- 466
- References
- 4
- FWCI
- 4.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
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
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
