Abstract
Using the Pegg–Barnett formalism of phase operator, we obtain phase probability distributions of new even and odd nonlinear coherent states. It is shown that the distributions for the states are rather different, and unlike the case of ordinary even and odd coherent states the Pegg–Barnett distribution clearly reflects the different character of quantum interference in the case of the new even and odd coherent states.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abramowitz, M. and Stegun, I. A. (Eds.) (1972). Handbook of Mathematical Functions, Dover, New York.
Barnett, S. M. and Pegg, D. T. (1989). On the Hermitian optical phase operator. Journal of Modern Optics 36, 7.
Das, P. K. (2000). Orthogonal even nonlinear coherent states. International Journal of Theoretical Physics 39, 2007.
de Matos Filho, R. L. and Vogel, W. (1996). Nonlinear coherent states. Physical Review A 54, 4560.
Dodonov, V. V. (2000). Studies on nonlinear coherent states. Journal of Optics B: Quantum and Semiclassical Optics 2, Rl.
Hillery, M. (1987). Amplitude-squared squeezing of the electromagnetic field. Physical Review A 36, 3796.
Mancini, S. (1997). Even and odd nonlinear coherent states. Physics Letters A 233, 291.
Man'ko, V. I., Marmo, G., Sudarshan, E. C. G., and Zaccria, F. (1997). f-Oscillators and nonlinear coherent states. Physica Scripta 55, 528.
Pegg, D. T. and Barnett, S. M. (1988). Unitary phase operator in quantum mechanics. Europhysics Letters 6, 483.
Pegg, D. T. and Barnett, S. M. (1989). Phase properties of the quantized single-mode electromagnetic field. Physical Review A 39, 1665.
Roy, B. and Roy, P. (2000). New nonlinear coherent states and some of their nonclassical properties. Journal of Optics B: Quantum and Semiclassical Optics 2, 65.
Wang, J. S., Feng, J., GaoY. F., LiuT. K., and Zhan, M. S. (2003). New even and odd nonlinear coherent states and their nonclassical properties. International Journal of Theoretical Physics 42, 89.
Xia, Y. J. and Guo, G. C. (1989). Nonclassical properties of even and odd coherent states. Physics Letters A 136, 281.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wang, JS., Liu, TK., Feng, J. et al. Phase Properties of New Even and Odd Nonlinear Coherent States. International Journal of Theoretical Physics 42, 2855–2862 (2003). https://doi.org/10.1023/B:IJTP.0000006012.77903.29
Issue Date:
DOI: https://doi.org/10.1023/B:IJTP.0000006012.77903.29