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Mat. Zametki, 2016, Volume 100, Issue 4, Pages 636–640 (Mi mz11141)  

This article is cited in 10 scientific papers (total in 10 papers)

Brief Communications

Quadratic Dissipative Evolution of Gaussian States

A. E. Teretenkov

Lomonosov Moscow State University

Keywords: Lindblad equation, quantum dissipation, Gaussian state, quantum dynamical semigroup, multimode generator.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00578
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00578.


DOI: https://doi.org/10.4213/mzm11141

Full text: PDF file (313 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2016, 100:4, 642–646

Bibliographic databases:

Received: 24.02.2016

Citation: A. E. Teretenkov, “Quadratic Dissipative Evolution of Gaussian States”, Mat. Zametki, 100:4 (2016), 636–640; Math. Notes, 100:4 (2016), 642–646

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Teretenkov A.E., “Symplectic Analogs of Polar Decomposition and Their Applications to Bosonic Gaussian Channels”, Linear Multilinear Algebra  crossref  isi
    2. A. E. Teretenkov, “Quadratic Fermionic Dynamics with Dissipation”, Math. Notes, 102:6 (2017), 846–854  mathnet  crossref  crossref  isi  elib
    3. A. I. Trubilko, A. M. Basharov, “On the decay of an “isolated” oscillator nonlinearly coupled to a damped oscillator”, JETP Letters, 110:7 (2019), 517–522  mathnet  crossref  crossref  isi  elib
    4. A. E. Teretenkov, “Dynamics of Moments for Quadratic GKSL Generators”, Math. Notes, 106:1 (2019), 151–155  mathnet  crossref  crossref  mathscinet  isi  elib
    5. A. E. Teretenkov, “Pseudomode Approach and Vibronic Non-Markovian Phenomena in Light-Harvesting Complexes”, Proc. Steklov Inst. Math., 306 (2019), 242–256  mathnet  crossref  crossref  mathscinet  isi  elib
    6. A. E. Teretenkov, “Irreversible quantum evolution with quadratic generator: review”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 22:4 (2019), 1930001  crossref  mathscinet  isi
    7. 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
    8. 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
    9. A. I. Trubilko, A. M. Basharov, “Nonresonant processes as a basis for the formation of new relaxation channels in the theory of quantum optical systems”, J. Exp. Theor. Phys., 130:1 (2020), 62–68  crossref  isi
    10. I A. Trubilko , A. M. Basharov, “Theory of relaxation and pumping of quantum oscillator non-resonantly coupled with the other oscillator”, Phys. Scr., 95:4 (2020), 045106  crossref  isi
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