Abstract

We consider a vector c-number Langevin equation describing a single mode of the radiation field under the influence of a quadratic nonlinear interaction. The nonlinearity of the interaction is found to give rise to a nonzero diffusion matrix, which may be non-positive-definite. Using this diffusion matrix, we derive and solve an equation for the variance matrix of the system. An analysis of the solution then yields information about the production and properties of squeezing. In particular, we find that pulsed pumping of the medium, as compared with continuous pumping, can significantly enhance the maximum level of squeezing. Finally, we delineate the role of the non-positive-definite diffusion matrix through a discussion of the physical source of squeezing.

© 1989 Optical Society of America

Full Article  |  PDF Article
More Like This
Phase properties of squeezed states

N. Grønbech-Jensen, P. L. Christiansen, and P. S. Ramanujam
J. Opt. Soc. Am. B 6(12) 2423-2429 (1989)

Quantum theory of nondegenerate multiwave mixing. III. Application to single-beam squeezed-state generation

Seng-Tiong Ho, Prem Kumar, and Jeffrey H. Shapiro
J. Opt. Soc. Am. B 8(1) 37-57 (1991)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (77)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription