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Matematicheskie Zametki, 2019, Volume 106, Issue 1, Pages 149–153
DOI: https://doi.org/10.4213/mzm12217 (Mi mzm12217) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Brief Communications

Dynamics of Moments for Quadratic GKSL Generators

A. E. Teretenkovab

a Lomonosov Moscow State University
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (339 kB) Citations (13)
References:
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DOI: https://doi.org/10.4213/mzm12217
Keywords: Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation, quadratic generator, quantum dissipation.
Received: 16.10.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 1, Pages 151–155
DOI: https://doi.org/10.1134/S0001434619070186
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. E. Teretenkov, “Dynamics of Moments for Quadratic GKSL Generators”, Mat. Zametki, 106:1 (2019), 149–153; Math. Notes, 106:1 (2019), 151–155
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm12217
  • https://doi.org/10.4213/mzm12217
  • https://www.mathnet.ru/eng/mzm/v106/i1/p149
    • This publication is cited in the following 13 articles:
    1. Alexander Teretenkov, Oleg Lychkovskiy, “Exact dynamics of quantum dissipative XX models: Wannier-Stark localization in the fragmented operator space”, Phys. Rev. B, 109:14 (2024)  crossref
    2. Alexander Teretenkov, Oleg Lychkovskiy, “Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars”, Phys. Rev. B, 110 (2024), 241105  mathnet  crossref
    3. M. K. Aleksashin, A. M. Basharov, A. I. Trubilko, “A local approach to the theory of open optical quantum systems and “violation” of the second law of thermodynamics”, Bull. Russ. Acad. Sci. Phys., 87:10 (2023), 1509  crossref  crossref
    4. A. E. Teretenkov, “Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels”, Linear Multilinear Algebra, 70:9 (2022), 1673–1681  crossref  mathscinet  isi  scopus
    5. D. D. Ivanov, A. E. Teretenkov, “Dynamics of Moments and Stationary States for GKSL Equations of Classical Diffusion Type”, Math. Notes, 112:2 (2022), 318–322  mathnet  crossref  crossref  mathscinet
    6. A. E. Teretenkov, Yu. A. Nosal, “Higher order moments dynamics for some multimode quantum master equations”, Lobachevskii J. Math., 43:7 (2022), 1726–1739  mathnet  crossref  mathscinet
    7. A. E. Teretenkov, “Effective Heisenberg equations for quadratic Hamiltonians”, Int. J. Mod. Phys. A, 37:20 (2022), 2243020–13  mathnet  crossref  mathscinet
    8. A. E. Teretenkov, “An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations”, Proc. Steklov Inst. Math., 313 (2021), 236–245  mathnet  crossref  crossref  mathscinet  isi  elib
    9. J. Agredo, F. Fagnola, D. Poletti, “Gaussian quantum Markov semigroups on a one-mode Fock space: irreducibility and normal invariant states”, Open Syst. Inf. Dyn., 28:01 (2021), 2150001  crossref  mathscinet  isi
    10. S Medvedeva, A Gaidash, A Kozubov, G Miroshnichenko, “Dynamics of field observables in quantum channels”, J. Phys.: Conf. Ser., 1984:1 (2021), 012007  crossref
    11. A. E. Teretenkov, “Dynamics of Moments of Arbitrary Order for Stochastic Poisson Compressions”, Math. Notes, 107:4 (2020), 695–698  mathnet  crossref  crossref  mathscinet  isi  elib
    12. Yu. A. Nosal, A. E. Teretenkov, “Exact Dynamics of Moments and Correlation Functions for GKSL Fermionic Equations of Poisson Type”, Math. Notes, 108:6 (2020), 911–915  mathnet  crossref  crossref  mathscinet  isi  elib
    13. Teretenkov A.E., “Irreversible Quantum Evolution With Quadratic Generator: Review”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 22:4 (2019), 1930001  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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