Abstract
The evolution of Gaussian states of two interacting oscillators corresponding to electromagnetic field modes is studied in the classical and quantum regions. The consideration is performed both in the state representation byWigner functions and in the tomographic probabilistic representation of quantummechanics.Correlations in the two-mode system, in particular, entangled mode states in the quantum region, are considered using the tomographic approach. In the classical region, the states of two modes are described by the density operator which can have negative eigenvalues in this case.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Lett. A 213, 1 (1996).
A. Ibort, V. I. Man’ko, G. Marmo, et al., Phys. Scr. 79, 065013 (2009).
B. O. Koopman, Proc. Natl. Acad. Sci. USA 17, 315 (1931).
J. von Neumann, Ann. Math. 33, 587 (1932); 33, 789 (1932).
V. N. Chernega and V. I. Man’ko, J. Russ. Laser Res. 28, 6 (2007).
Elliott Francesco Tammaro, Found. Phys. 42, 284 (2012).
D. B. Lemeshevskiy and V. I. Man’ko, J. Russ. Laser Res. 33, 2 (2012).
M. A. Man’ko, V. I. Man’ko, G. Marmo, et al., Nuovo Cim. C 36, Ser.3, 163 (2013).
E. Wigner, Phys. Rev. 40, 749 (1932).
L. M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
G. Adesso and F. Illuminati, J. Phys. A: Math. Theor. 40, 7821 (2007).
V. N. Chernega and V. I. Man’ko, AIP Conf. Proc. 1424, 33 (2012).
O. V. Man’ko and V. I. Man’ko, J. Russ. Laser Res. 118, 407 (1997).
A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
P. Horodecki, Phys. Lett. A 232, 333 (1997).
R. Simon, Phys. Rev. Lett. 84, 2726 (2000).
V. V. Dodonov and V. I. Man’ko, Trudy FIAN 183 (1987).
H. P. Robertson, Phys. Rev. 34, 163 (1929).
E. Schrödinger, Sitzungsber. Preuss. Akad Wiss., 296 (1930).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.S. Avanesov, V.I. Man’ko, 2015, published in Kratkie Soobshcheniya po Fizike, 2015, Vol. 42, No. 9, pp. 10–16.
About this article
Cite this article
Avanesov, A.S., Man’ko, V.I. Classical and quantum correlations in the system of interacting electromagnetic modes. Bull. Lebedev Phys. Inst. 42, 260–263 (2015). https://doi.org/10.3103/S106833561509002X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S106833561509002X