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Physical Review A

Phase and squeezing properties of two copropagating fields in a Kerr medium

Hongxing Meng, Chin-lin Chai, Z. M. Zhang

Published Oct 1, 1993• 9 citations
Publisher

Abstract

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.

DOI
10.1103/physreva.48.3219

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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.
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 phase properties of the self-squeezed states generated during the evolution of the anharmonic oscillator are discussed from the point of view of the new phase formalism of Pegg and Barnett. The phase distribution, the expectation values and the variances of the Hermitian phase operator are obtained and their evolution illustrated graphically. The mean values for the phase cosine and sine functions as well as their variances are also calculated. The results are compared to the Susskind-Glogower formalism results and the results based on the measured phase concept. The relation between squeezing and the phase properties of the field is discussed briefly.
Phase properties of elliptically polarized light propagating through a nonlinear Kerr medium are considered within the framework of the Pegg-Barnett Hermitian phase formalism. The joint phase probability distribution function for the phases of two orthogonal modes describing elliptical polarization of the field is calculated and its evolution discussed and illustrated graphically. The marginal phase probability distribution for the individual phases are also calculated and discussed. Analytical formulae for phase expectation values and variances are derived for the individual phases as well as for the phase difference. It is shown that in the course of propagation the correlation between the phases of the two modes builds up. This correlation is responsible for lowering phase difference variance. The expressions for the sine and cosine functions and their variances of the individual phases as well as the phase difference are obtained and discussed. The effect of randomization of individual phases and the phase difference, which is a purely quantum effect, is shown to appear during propagation. The relation between phase randomization and degradation of the degree of polarization of the light is established.