J. Phys. I France
Volume 1, Numéro 9, September 1991
Page(s) 1217 - 1227
DOI: 10.1051/jp1:1991105
J. Phys. I France 1 (1991) 1217-1227

Impossibility of steady squeezing for two-mode linear system without self-action

A. A. Bakasov1, N. V. Bakasova1, E. K. Bashkirov2 and V. Chmielowski2

1  International Centre for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy
2  Joint Institute for Nuclear Research, Head Post Office, P.O. Box 79, 101000 Moscow, U.S.S.R.

(Received 1 June 1990, revised 12 March 1991, accepted 30 May 1991)

A solution for the problem of the time evolution of quadrature component variances has been obtained for the two-mode system with the two-boson interaction. As a result, the impossibility of steady squeezing is strictly established. Comparison with the single-mode model shows that the possibility of steady squeezing is due solely to self-action within the modes which is absent for the model considered. Thus, there cannot be cross-over between the model considered and the single-mode model.

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