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International Journal of Modern Physics B

SQUEEZING PROPERTIES OF COUPLED NONLINEAR OSCILLATORS

Vladimír Bužek, Igor Jex

Published Mar 20, 1990• 15 citations
Publisher

Abstract

In this paper the squeezing properties of the two-mode radiation field interacting with a nonliner nonabsorbing Kerr-like medium modelled as a two-mode anharmonic oscillator are studied. Time evolution of the variances of the radiation field initially prepared in the two-mode coherent state as well as the two-mode squeezed vacuum state are analyzed. In particular, it is shown that in the case when the radiation field is initially prepared in the two-mode coherent state the interaction between two modes leads to a high degree of squeezing.

DOI
10.1142/s0217979290000346

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In this paper the squeezing properties of the two-mode radiation field interacting with a nonliner nonabsorbing Kerr-like medium modelled as a two-mode anharmonic oscillator are studied. Time evolution of the variances of the radiation field initially prepared in the two-mode coherent state as well as the two-mode squeezed vacuum state are analyzed. In particular, it is shown that in the case when the radiation field is initially prepared in the two-mode coherent state the interaction between two modes leads to a high degree of squeezing.
The paper deals with a system of two single-mode radiation fields copropagating through a nonabsorbing Kerr medium modeled as an anharmonic oscillator. The quadrature squeezing of the signal light is investigated and the phase dynamics, including the distribution, shift, and variance of the phase of the probe light, is studied using the Pegg-Barnett Hermitian phase operator. The results show that the squeezing is considerably influenced by the coupling between the two fields and the phase dynamics shows new features compared with that predicted by the Susskind-Glogower phase formalism.
Three identical, interacting with each other nonlinear oscillators are considered. In addition, they are also externally driven by a coherent field of constant amplitude. The possibility of generating two-mode squeezed states is analyzed in this system. The two-mode principal squeeze variance is used to study the properties of the squeezed states of the system. The time evolution of this variance is analyzed, as well as the effect of the strength of the interaction between the oscillators and the damping strength on the generation of squeezed states.
Coherent light interacting with a nonlinear nonabsorbing medium of inversion symmetry is modelled as a quartic anharmonic oscillator if the lowest (i.e. third) order of nonlinearity is considered. The equation of motion of the quadrature operators of such an oscillator is solved approximately in a closed analytical form. The corresponding solution is used to investigate the possibility of finding the continuous squeezed states. It is found that the amount of squeezing is increased with the increase of intensity of the applied field. An improvement of the squeezing is also possible if the coupling strength is increased. We report the squeezing effect of the input vacuum field. The possibility of generating continuous squeezing in an absolute sense (i.e. 100%) of the input radiation field is also discussed.