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Trudy Mat. Inst. Steklova, 2016, Volume 294, Pages 256–267 (Mi tm3741)  

This article is cited in 19 scientific papers (total in 19 papers)

Manipulation of states of a degenerate quantum system

I. V. Volovich, S. V. Kozyrev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We consider the dynamics of an open three-level quantum degenerate system. One of the levels in this system is degenerate. The system interacts with three reservoirs (quantum fields) and a classical external field. We show that nondecaying so-called dark states are generated in this system. Since the interactions of the degenerate level with two different reservoirs are different (correspond to different spaces of dark states), we can describe excitation and manipulations for this kind of states (in particular, observation in spectroscopical experiments). Possible applications of this model in quantum optics, quantum computations, and quantum photosynthesis are discussed.

Funding Agency Grant Number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.


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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 294, 241–251

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Received: April 18, 2016

Citation: I. V. Volovich, S. V. Kozyrev, “Manipulation of states of a degenerate quantum system”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 256–267; Proc. Steklov Inst. Math., 294 (2016), 241–251

Citation in format AMSBIB
\by I.~V.~Volovich, S.~V.~Kozyrev
\paper Manipulation of states of a~degenerate quantum system
\inbook Modern problems of mathematics, mechanics, and mathematical physics.~II
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2016
\vol 294
\pages 256--267
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\jour Proc. Steklov Inst. Math.
\yr 2016
\vol 294
\pages 241--251

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    This publication is cited in the following articles:
    1. D. S. Ageev, I. Ya. Aref'eva, “Waking and scrambling in holographic heating up”, Theoret. and Math. Phys., 193:1 (2017), 1534–1546  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemcev, “Holographic control of information and dynamical topology change for composite open quantum systems”, Theoret. and Math. Phys., 193:3 (2017), 1834–1843  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. S. V. Kozyrev, A. A. Mironov, A. E. Teretenkov, I. V. Volovich, “Flows in non-equilibrium quantum systems and quantum photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:4 (2017), 1750021  crossref  mathscinet  zmath  isi  scopus
    4. V. Zh. Sakbaev, I. V. Volovich, “Self-adjoint approximations of the degenerate Schrödinger operator”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 39–52  crossref  mathscinet  zmath  isi  scopus
    5. A. S. Avanesov, D. A. Kronberg, A. N. Pechen, “Active beam splitting attack applied to differential phase shift quantum key distribution protocol”, P-Adic Numbers Ultrametric Anal. Appl., 10:3 (2018), 222–232  crossref  mathscinet  isi  scopus
    6. S. V. Kozyrev, “Quantum transport in degenerate systems”, Proc. Steklov Inst. Math., 301 (2018), 134–143  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    7. Yu. N. Drozhzhinov, “Asymptotically homogeneous generalized functions and some of their applications”, Proc. Steklov Inst. Math., 301 (2018), 65–81  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    8. N. B. Il'in, A. N. Pechen, “Conditions for the absence of local extrema in problems of quantum coherent control”, Proc. Steklov Inst. Math., 301 (2018), 109–113  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    9. I. V. Volovich, V. Zh. Sakbaev, “On quantum dynamics on $C^*$-algebras”, Proc. Steklov Inst. Math., 301 (2018), 25–38  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    10. A. S. Trushechkin, “Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional”, Proc. Steklov Inst. Math., 301 (2018), 262–271  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    11. N. B. Il'in, A. N. Pechen', “Critical point in the problem of maximizing the transition probability using measurements in an $n$-level quantum system”, Theoret. and Math. Phys., 194:3 (2018), 384–389  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    12. V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    13. I. Ya. Aref'eva, I. V. Volovich, “Notes on the SYK model in real time”, Theoret. and Math. Phys., 197:2 (2018), 1650–1662  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    14. I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemtsev, “Evolution of holographic entropy quantities for composite quantum systems”, Theoret. and Math. Phys., 197:3 (2018), 1838–1844  mathnet  crossref  crossref  adsnasa  isi  elib
    15. B. O. Volkov, “Lévy Laplacians and annihilation process”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2018, 399–409  mathnet  mathscinet
    16. S. V. Kozyrev, “Model of Vibrons in Quantum Photosynthesis as an Analog of a Model of Laser”, Proc. Steklov Inst. Math., 306 (2019), 145–156  mathnet  crossref  crossref  mathscinet  isi  elib
    17. A. S. Trushechkin, “Dynamics of Reservoir Observables within the Zwanzig Projection Operator Method in the Theory of Open Quantum Systems”, Proc. Steklov Inst. Math., 306 (2019), 257–270  mathnet  crossref  crossref  mathscinet  isi  elib
    18. A. Trushechkin, “Calculation of coherences in forster and modified redfield theories of excitation energy transfer”, J. Chem. Phys., 151:7 (2019), 074101  crossref  isi
    19. A. N. Pechen, O. V. Morzhin, “Maximization of the Overlap Between Density Matrices For a Two-Level Open Quantum System Driven By Coherent and Incoherent Controls”, Lobachevskii J. Math., 40:10, SI (2019), 1532–1548  mathnet  crossref  mathscinet  zmath  isi
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