Research PapersNo Access

THE DEPENDENCY ON THE SQUEEZING PARAMETER FOR THE UNCERTAINTY RELATION IN THE SQUEEZED STATES OF THE TIME-DEPENDENT OSCILLATOR

JEONG RYEOL CHOI

Department of New Material Science, Division of Natural Sciences, Sunmoon University, Asan 336-708, Republic of Korea

https://doi.org/10.1142/S0217979204026135Cited by:6 (Source: Crossref)

Abstract

We obtained the uncertainty relation in squeezed states for a time-dependent oscillator. The uncertainty relation in coherent states is same as that of the number states with n=0. However, the uncertainty relation in squeezed states does not satisfy this property and depends on squeezing parameter c. For instance, the uncertainty relation is ℏ/2 which is the minimum value as far as quantum mechanics permits for c=1, same as that in coherent state for c=±∞, and infinity for c=-1. If the time-dependency of the Hamiltonian for the system vanishes, the uncertainty relation in squeezed states will no longer depend on c and becomes the same as that in number state with n=0, like the uncertainty relation in coherent states.

Keywords:

PACS: 03.65.-w, 02.20.-a, 42.50.-p

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

L. Mandel, Phys. Rev. Lett. 49, 136 (1982). Crossref, Web of Science, ADS, Google Scholar
G. D'Ariano and M. Rasetti, Phys. Rev. D35, 1239 (1987). ADS, Google Scholar
J. Katriel, M. Rasetti and A. I. Solomon, Phys. Rev. D35, 1248 (1987). ADS, Google Scholar
W. Schleich and J. A. Wheeler, Nature 326, 574 (1987). Crossref, Web of Science, ADS, Google Scholar
A. Vourdas and R. M. Weiner, Phys. Rev. A36, 5866 (1987). ADS, Google Scholar
W. Schleich and J. A. Wheeler, J. Opt. Soc. Am. B4, 1715 (1987). ADS, Google Scholar
J.-S. Wang, J. Feng and M.-S. Zhan, Phys. Lett. A281, 341 (2001). ADS, Google Scholar
S. Zhanget al., Phys. Lett. A294, 319 (2002). ADS, Google Scholar
M. Hillery, Phys. Rev. A36, 3796 (1987). ADS, Google Scholar
D. F. Walls, Nature 306, 141 (1983). Crossref, Web of Science, ADS, Google Scholar
M. M. Nieto and D. R. Truax, New J. Phys. 2, 18.1 (2000). Crossref, Web of Science, Google Scholar
J. Aliaga and A. N. Proto, Phys. Lett. A142, 63 (1989). ADS, Google Scholar
J. Aliaga, G. Crespo and A. N. Proto, Phys. Rev. A42, 618 (1990). ADS, Google Scholar
J. Aliaga, G. Crespo and A. N. Proto, Phys. Rev. A42, 4325 (1990). ADS, Google Scholar
J. Aliagaet al., Phys. Rev. A38, 918 (1988). ADS, Google Scholar
A. N. Protoet al., Phys. Rev. A39, 4223 (1989). ADS, Google Scholar
G. Crespoet al., Phys. Rev. A39, 2133 (1989). ADS, Google Scholar
J. R. Choi, Pramana-J. Phys. 62, 13 (2004). Crossref, Web of Science, ADS, Google Scholar
M. M. Nieto and D. R. Truax, Phys. Rev. Lett. 71, 2843 (1993). Crossref, Web of Science, Google Scholar
J. B. Marion, Classical Dynamics of Particles and Systems, 2nd edn. (Academic Press, New York, 1970) p. 118. Google Scholar
F. Liet al., J. Phys. A: Math. Gen. 27, 985 (1994). Crossref, ADS, Google Scholar
J. R. Choi, Int. J. Mod. Phys. B18, 1007 (2004). Google Scholar
K.-H Yeonet al., Phys. Rev. A55, 4023 (1997). ADS, Google Scholar
D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994) p. 16. Crossref, Google Scholar
M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge Univ. Press, Cambridge, 1997) p. 61. Crossref, Google Scholar
W. Vogel and D.-G. Welsch, Lectures on Quantum Optics (Akademie Verlag, Berlin, 1994) pp. 74–78. Google Scholar
I. A. Pedrosa, G. P. Serra and I. Guedes, Phys. Rev. A56, 4300 (1997). ADS, Google Scholar
J. R. Choi, Int. J. Theor. Phys. 41, 1931 (2002). Crossref, Web of Science, Google Scholar
J. R. Choi, J. Optics B: Quantum Semiclass. Opt. 5, 409 (2003). Crossref, ADS, Google Scholar