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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 3, Pages 482–489
DOI: https://doi.org/10.4213/tmf6695 (Mi tmf6695) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Two-time correlation functions in an exactly solvable spin-boson model

V. G. Morozova, G. Röpkeb

a Moscow State Institute of Radiotechnics, Electronics, and Automation (Technical University), Moscow, Russia
b Universität Rostock Institut für Physik, Universität Rostock, Rostock, Germany
Full-text PDF (417 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6695
Abstract: We consider a spin-boson model describing the dephasing process in an open quantum system and obtain exact expressions for the two-time spin correlation function and the decoherence function applicable for any values of the coupling constants. We show that the initial statistical correlations between the dynamical system and the heat bath considerably affect the time dependence of the decoherence function.
Keywords: open quantum system, dephasing in quantum systems, spin-boson model.
Received: 08.03.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 3, Pages 1271–1277
DOI: https://doi.org/10.1007/s11232-011-0104-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Morozov, G. Röpke, “Two-time correlation functions in an exactly solvable spin-boson model”, TMF, 168:3 (2011), 482–489; Theoret. and Math. Phys., 168:3 (2011), 1271–1277
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6695
  • https://doi.org/10.4213/tmf6695
  • https://www.mathnet.ru/eng/tmf/v168/i3/p482
    • This publication is cited in the following 4 articles:
    1. Roberto Grimaudo, Antonino Messina, Hiromichi Nakazato, Alessandro Sergi, Davide Valenti, “Characterization of Quantum and Classical Critical Points for an Integrable Two-Qubit Spin–Boson Model”, Symmetry, 15:12 (2023), 2174  crossref
    2. Trevisan A., Smirne A., Megier N., Vacchini B., “Adapted Projection Operator Technique For the Treatment of Initial Correlations”, Phys. Rev. A, 104:5 (2021), 052215  crossref  mathscinet  isi
    3. Ignatyuk V., “Dynamic Correlations in Open Quantum Systems: the Dephasing Model”, Open Syst. Inf. Dyn., 27:2 (2020), 2050007  crossref  mathscinet  isi
    4. Calvani D., Cuccoli A., Gidopoulos N.I., Verrucchi P., “Dynamics of Open Quantum Systems Using Parametric Representation with Coherent States”, Open Syst. Inf. Dyn., 20:3 (2013), 1340002  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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