Entropy exchange and entanglement in the Jaynes-Cummings model with transient effects

Year 2018, Volume: 60 Issue: 1, 1 - 10, 31.07.2018

Hünkar Kayhan

Abstract

In this paper, we investigate the dynamics of entropy exchange and entanglement in the atom-field interaction by the Jaynes-Cummings model in the presence of the transient effects considered for the case of linear sweep. We find that the transient effects do not influence the entropy exchange between the atom and the field. As the strength of these effects increases, the oscillations of the entropy change and entanglement speed up. The entanglement behaves chaotically as the transient effects become stronger

Keywords

entropy exchange, entanglement, transient effects, Jaynes-Cummings model

References

• Eberly, J. H. , N. B. Narozhny, J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
• Wu, Y., X. X. Yang, Phys. Rev. Lett. 78, 3086 (1997).
• İmamoglu, A., S. E. Harris, Opt. Lett. 14, 1344 (1989).
• Jaynes, E. T., F. W. Cummings, Proc. IEEE 51, 89 (1962).
• Cummings, F. W., Phys. Rev. 140, A1051 (1965).
• Kuklinski J. R. and J. L. Madajczyk, Phys. Rev. A 37, 3175 (1988).
• Gea-Banacloche, J., Phys. Rev. A 47, 2221 (1993).
• Rodriguez-Lara B. M. and H. Moya Cessa, Phys. Rev. A 71, 023811 (2005).
• Kundu, A., Theor. Math. Phys 144, 975 (2005).
• Hussin V. and L. M. Nieto, J. Math. Phys. 46, 122102 (2005).
• Shore B. W., and P. L. Knight, J. Mod. Opt. 40, 1195 (1993).
• Joshi, A., S. V. Lawande, Phys. Rev. A 48, 2276 (1993). Agarwal G. S., and S. Arun Kumar, Phys. Rev. Lett. 67, 3665 (1991).
• Graham, R., J. Mod. Opt. 34, 873 (1987).
• Kayhan, H., Commun. Theor. Phys. 56, 487 (2011).
• Hu Y.-H. and Y.-G. Tan, Phys. Scr. 89, 075103 (2014).
• Hu Y.-H. and Y.-G. Tan, Commun. Theor. Phys. 62, 49 (2014).
• Boukobza, E., D. J. Tannor, Phys. Rev. A 71, 063821 (2005).
• Yan, X.-Q., B. Shao, J. Zou, Chaos, Solitons & Fractals 37, 835 (2008).
• Zhang, J., B. Shao, J. Zou, Commun. Theor. Phys. 49, 1463 (2008).
• Zhang, Y.-Q., L. Tan, Z.-H. Zhu, Z.-Z. Xiong, L.-W. Liu, Chin. Phys. B 19, 024210 (2010).
• Guo, J.-L. Y.-B. Sun, Z.-D. Li, Opt. Commun. 284, 896 (2011).
• Yan X.-Q. and Y.-G. Lü, Commun. Theor. Phys. 57, 209 (2012).
• Yan, X.-Q., Chaos, Solitons & Fractals 45, 1309 (2012).
• Wootters, W. K., Phys. Rev. Lett. 80, 2245 (1998).
• Rendell R. W. and A. K. Rajagopal, Phys. Rev. A 67, 062110 (2003).