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TMF, 2016, Volume 189, Number 2, Pages 312–320 (Mi tmf8963)  

This article is cited in 2 scientific papers (total in 2 papers)

Quantum revivals of non Rabi type in Jaynes-Cummings model

Yu. I. Ozhigovab, N. A. Skovorodaa, N. B. Viktorovac

a Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia
b Institute of Physics and Technology, RAS, Moscow, Russia
c Russian State University for the Humanities, Moscow, Russia

Abstract: We studied full revivals of quantum states in the Jaynes-Cummings model. It is proved that in the case of zero detuning in subspaces generated by two adjacent pairs of energy levels, full revival of the subspace does not exist for any values of the parameters. In the case of non-zero detuning on the contrary, the set of parameters that allows full revival of such subspaces is dense as the subset of all parameters. The nature of these revivals differs from Rabi oscillations in subspaces of a single pair of energy. In more complex subspaces the presence of full revival is reduced to particular cases of 10-th Hilbert problem for rational solutions of systems of nonlinear algebraic equations, which has no algorithmic solution in general case.

Keywords: quantum dynamics, quantum revivals, model jf Jaynes-Cummings

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-06132_a
This research is supported by the Russian Foundation for Basic Research (Grant No. 15-01-06132_a).


DOI: https://doi.org/10.4213/tmf8963

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English version:
Theoretical and Mathematical Physics, 2016, 189:2, 1673–1679

Bibliographic databases:

PACS: 03.65
MSC: 81V80
Received: 08.05.2015
Revised: 01.12.2015

Citation: Yu. I. Ozhigov, N. A. Skovoroda, N. B. Viktorova, “Quantum revivals of non Rabi type in Jaynes-Cummings model”, TMF, 189:2 (2016), 312–320; Theoret. and Math. Phys., 189:2 (2016), 1673–1679

Citation in format AMSBIB
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    This publication is cited in the following articles:
    1. E. A. Karatsuba, “Application of the Jacobi functional equation and the ATS theorem in a quantum optical model”, Comput. Math. Math. Phys., 57:11 (2017), 1822–1842  mathnet  crossref  crossref  isi  elib
    2. Kulagin V A., Ladunov V.Y., Ozhigov I Y., Skovoroda N.A., Victorova N.B., “Homogeneous Atomic Ensembles and Single-Mode Field: Review of Simulation Results”, Proceedings of Spie, 11022, eds. Lukichev V., Rudenko K., Spie-Int Soc Optical Engineering, 2019, UNSP 110222C  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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