Abstract
By virtue of the entangled-state basis and the ket-vector representation of the density operator, we solve the master equation of a driven damped harmonic oscillator. In this representation, the density operators are mapped to vectors of a two-mode Fock space whose first mode is the system mode and the second mode is a fictitious one. We derive the Glauber–Sudarshan P function of the quantum state.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press, UK (2002).
C. W. Gardiner and P. Zoller, Quantum Noise, Springer, Berlin (2004).
W. P. Schleich, Quantum Optics in the Phase Space, Wiley/VCH, Berlin (2001).
M. O. Scully and M. S. Zubairy, Quantum Optics, Cambridge University Press, MS, USA (1997).
K. Cahill and R. Glauber, Phys. Rev., 177, 1857 (1969).
K. Cahill and R. Glauber, Phys. Rev., 177, 1882 (1969).
W. H. Louisell, Quantum Statistical Properties of Radiation, Wiley, New York (1973).
H. Y. Fan and H. L. Lu, Mod. Phys. Lett. B, 21, 183 (2007).
L. Y. Hu and H. Y. Fan, Int. J. Theor. Phys., 48, 3396 (2009).
H. Y. Fan and L. Y. Hu, Opt. Commun., 281, 5571 (2008).
H. Y. Fan and L. Y. Hu, Commun. Theor. Phys., 51, 729 (2009).
J. Zhou, H. Y. Fan, and J. Song, Int. J. Theor. Phys., 50, 3149 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted by the authors in English on December 13, 2012.
Rights and permissions
About this article
Cite this article
Bazrafkan, M.R., Ashrafi, M. A driven damped harmonic oscillator in the ket-vector representation of the density operator. J Russ Laser Res 34, 41–49 (2013). https://doi.org/10.1007/s10946-013-9322-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-013-9322-2