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TMF, 2015, Volume 183, Number 3, Pages 388–408 (Mi tmf8828)  

This article is cited in 11 scientific papers (total in 11 papers)

Stochastic limit method and interference in quantum many-particle systems

I. Ya. Aref'eva, I. V. Volovich, S. V. Kozyrev

Steklov Mathematical Institute of RAS, Moscow, Russia

Abstract: We consider the problem of excitation energy transfer in quantum many-particle systems with a dipole interaction. The considered exciton transfer mechanism is based on quantum interference. We show that by a special choice of interaction parameters, an enhancement of the exciton transfer to a sink and suppression of the transfer to alternative sinks can be achieved. The enhancement is proportional to the number of particles in the system. We use the quantum stochastic limit method to describe the dynamics. We indicate possible applications of the proposed mechanism to quantum processes in photosynthesis.

Keywords: stochastic limit of quantum theory, dynamics of quantum many-particle systems, quantum transfer process

Funding Agency Grant Number
Russian Science Foundation 14-11-00687


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English version:
Theoretical and Mathematical Physics, 2015, 183:3, 782–799

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Received: 25.11.2014

Citation: I. Ya. Aref'eva, I. V. Volovich, S. V. Kozyrev, “Stochastic limit method and interference in quantum many-particle systems”, TMF, 183:3 (2015), 388–408; Theoret. and Math. Phys., 183:3 (2015), 782–799

Citation in format AMSBIB
\by I.~Ya.~Aref'eva, I.~V.~Volovich, S.~V.~Kozyrev
\paper Stochastic limit method and interference in quantum many-particle systems
\jour TMF
\yr 2015
\vol 183
\issue 3
\pages 388--408
\jour Theoret. and Math. Phys.
\yr 2015
\vol 183
\issue 3
\pages 782--799

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    1. A. S. Trushechkin, I. V. Volovich, “Perturbative treatment of inter-site couplings in the local description of open quantum networks”, EPL, 113:3 (2016), 30005, 6 pp.  mathnet  crossref  scopus
    2. I. V. Volovich, S. V. Kozyrev, “Manipulation of states of a degenerate quantum system”, Proc. Steklov Inst. Math., 294 (2016), 241–251  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    3. 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
    4. 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
    5. V. Zh. Sakbaev, I. V. Volovich, “Self-adjoint approximations of the degenerate Schrodinger operator”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 39–52  crossref  mathscinet  zmath  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
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    9. J. C. Garcia, S. Gliouez, F. Guerrero-Poblete, R. Quezada, “Entangled and dark stationary states of excitation energy transport models in quantum many-particle systems and photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 21:3 (2018), 1850018  crossref  mathscinet  zmath  isi  scopus
    10. 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
    11. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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