Abstract
We establish a new three-mode entangled state representation ∣ β,ζ 〉θ of continuum variables, which make up a complete set. Using optical four-wave mixing and a beam splitter transform we can prepare ∣ β,ζ 〉θ. Based on ∣ β,ζ 〉θ a new number-difference--operational-phase uncertainty relation is established and the corresponding squeezing dynamics is discussed.
Similar content being viewed by others
REFERENCES
Cochrane, P. T. and Milburn, G. J. (2001). Physical Review A 64, 062312.
Collet, M. J. (1993). Physical Review Letters 70, 3400.
Fan, H. (2003). Journal of Physics B: Quantum and Semiclassical Optics 5, R147.
Fan, H. and Fan, Y. (1996). Physical Review A 54, 958.
Fan, H. and Klauder, J. R. (1994). Physical Review A 49, 704; Fan, H. et al. (2003). International Journal of Theoretical Physics 1773.
Fan, H. and Xiao, M. (1996). Physics Letters A 222, 299.
Freyberger, M., Heni, M., and Schleich, W. P. (1995). Quantum and Semiclassical Optics 7, 187.
Glauber, R. J. (1963). Physical Review 131, 2766.
Klauder, J. R. and Skargerstam, B. S. (1985). Coherent States, World Scientific, Singapore.
Loock, P. V. and Braunstein, S. L. (2000). Physical Review Letters 84, 3482.
Loudon, R. and Knight, P. L. (1987). Journal of Modern Optics 34, 709.
Noh, J. W., Fougeres, A., and Mandel, L. (1991). Physical Review Letters 67, 1426; Noh, J. W., Fougeres, A., and Mandel, L. (1993). Physical Review Letters 71, 2579.
Scully, M. O. and Zubairy, M. S. (2000). Quantum Optics, Cambridge University Press, pp. 471–475 and the references therein (for a description of four-wave mixing).
Tara, K. and Agarwal, G. S. (1994). Physical Review A 50, 2870–2875.
Wunshe, A. (1999). Journal of Physics B: Quantum and Semiclassical Optics 1, R11.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fan, Hy., Jiang, Nq. Three-Mode Entangled State Representation of Continuum Variables and Optical Four-Wave Mixing. International Journal of Theoretical Physics 43, 2275–2283 (2004). https://doi.org/10.1023/B:IJTP.0000049026.93019.21
Issue Date:
DOI: https://doi.org/10.1023/B:IJTP.0000049026.93019.21