Abstract
We examine the possibility of obtaining the transference of the squeezing effect between two coupled oscillators, one of them described by a quadratic Hamiltonian in terms of the ladder operators, the other one being a linear harmonic oscillator, plus an interaction term. We obtain an exact solution for the time evolution of our coupled system which allows us to find the variances for one and two-mode oscillations. It is shown that the squeezing generated in one of the oscillators may or may not spread to the other oscillator, depending on the choice of the involved parameters. Other interesting features exhibited for the one- and two-mode oscillations are also discussed.
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References
Agarwal, G. S., and Gupta, S. D. (1989).Physical Review A,39, 2961.
Barnett, S. M., and Knight, P. L. (1987).Journal of Modem Optics,34, 841.
Caves, C. M., and Schumaker, B. L. (1985).Physical Review D,31, 3068.
Cirac, J. L., Robinson, A. S., Blatt, R., and Zoller, P. (1993).Physical Review Letters,70, 556.
Cohen-Tannoudji, Diu, B., and Lalöe, F. (1977).Quantum Mechanics, Wiley, New York, p. 489.
Ekart, A. K., and Knight, P. L. (1989).American Journal of Physics,57, 692; and references therein.
Gordon, J. P., Walker, L. R., and Louisell, W. H. (1963).Physical Review,130, 806.
Huen, H. P. (1976).Physical Review A,13, 2226.
Kim, Y. S., and Noz, M. E. (1991).Phase Space Picture of Quantum Mechanics, World Scientific, Singapore, p. 9.
Loudon, R., and Knight, P. L. (1989).Journal of Modern Optics,33, 709.
Merzbacher, E. (1977).Quantum Mechanics, Wiley, New York, Chapter 15.
Milburn, G. J. (1984).Journal of Physics A,17, 737.
Robinson, R. L. (1985).Science,230, 927.
Robinson, R. L. (1986).Science,233, 280.
Slusher, R. E., Holber, L. W., Yurke, B., Mertz, J. C., and Walley, F. W. (1985).Physical Review Letters,55, 2409.
Stenholm, S. (1986).Physica Scripta T,12, 56.
Walls, D. F. (1983).Nature,306, 141.
Wu, L. A., Kimble, H. J., Hall, J. L., and Wu, N. (1986).Physical Review Letters,57, 2520.
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Bonato, C.A., Baseia, B. Transference of squeezing in coupled oscillators. Int J Theor Phys 33, 1145–1460 (1994). https://doi.org/10.1007/BF00670688
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DOI: https://doi.org/10.1007/BF00670688