Research PapersNo Access

Squeezed vacuum state in lossy channel as a squeezed thermal state

Engineering Research Center of Optical Instrument and System, University of Shanghai for Science and Technology, Shanghai 200093, China

College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China

E-mail Address: yuanhch@126.com

Search for more papers by this author

and

Xue-Xiang Xu

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

Search for more papers by this author

https://doi.org/10.1142/S021798491550219XCited by:4 (Source: Crossref)

Abstract

In this paper, we alternatively study the evolution of squeezed vacuum state (SVS) in lossy channel by virtue of the phase space method. By using the formula of Wigner function (WF) in coherent representation and $P$ $P$ representation of quantum density operator, the WF formula in lossy channel is derived. After obtaining the analytical expressions of the WFs of the lossy SVS and the squeezed thermal state (STS), we further prove the fact that the lossy SVS is equivalent to a kind of STS. Our result is useful in dealing with the light field transmission problems in the presence of losses.

Keywords:

References

1. H. J. Carmichael, Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Springer, Berlin, 2007). Google Scholar
2. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999). Link, Google Scholar
3. C. W. Gardiner and P. Zoller, Quantum Noise (Springer, Berlin, 2000) Crossref, Google Scholar
4. M. A. Schlosshauer, Decoherence and the Quantum-to-Classical Transition (Springer, Berlin, 2007). Google Scholar
5. L. Y. Hu, X. X. Xu, Z. S. Wang and X. F. Xu, Phys. Rev. A 82(4) (2010) 043842. Crossref, Web of Science, ADS, Google Scholar
6. H. Y. Fan and L. Y. Hu, Mod. Phys. Lett. B 22(25) (2008) 2435. Link, Web of Science, ADS, Google Scholar
7. A. Serafini, M. G. A. Paris, F. Illuminati and S. De Siena, J. Opt. B: Quamtum Semiclassical Opt. 7 (2005) R19–R36. Crossref, ADS, Google Scholar
8. Z. Wang, K. Jiang, H. M. Li and H. C. Yuan, Mod. Phys. Lett. B 28(28) (2014) 1450219. Link, Web of Science, ADS, Google Scholar
9. S. B. Li, X. B. Zou and G. C. Guo, Phys. Rev. A 75 (2007) 045801. Crossref, Web of Science, ADS, Google Scholar
10. K. Si, N. L. Zhu and H. Y. Jia, Mod. Phys. Lett. B 25 (2011) 1401. Link, Web of Science, ADS, Google Scholar
11. X. X. Xu, L. Y. Hu and H. Y. Fan, Opt. Commun. 283 (2010) 1801–1809. Crossref, Web of Science, ADS, Google Scholar
12. K. Kraus, State, Effects, and Operations: Fundamental Notions of Quantum Theory (Spring-Verlag, Berlin, 1983). Crossref, Google Scholar
13. U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, 1997). Google Scholar
14. W. P. Schleich, Quantum Optics in Phase Space (Wiley, Berlin, 2001). Crossref, Google Scholar
15. M. Hillery, R. F. O’Connell, M. O. Scully and E. P. Wigner, Phys. Rep. 106(3) (1984) 121–167. Crossref, Web of Science, ADS, Google Scholar
16. L. Y. Hu and H. Y. Fan, Mod. Phys. Lett. A 24(28) (2009) 2263–2274. Link, Web of Science, ADS, Google Scholar
17. H. Y. Fan, H. L. Lu and Y. Fan, Ann. Phys. 320 (2006) 480–494. Crossref, Web of Science, ADS, Google Scholar
18. M. S. Kim, F. A. M. de Oliveira and P. L. Knight, Phys. Rev. A 40 (1989) 2494. Crossref, Web of Science, ADS, Google Scholar
19. R. Loudon, The Quantum Theory of Light (Oxford University Press, Oxford, 2000). Crossref, Google Scholar
20. H. Y. Fan and H. R. Zaidi, Phys. Lett. A 124 (1987) 303–307. Crossref, Web of Science, ADS, Google Scholar
21. L. Y. Hu, C. P. Wei, J. H. Huang and C. J. Liu, Opt. Commun. 323 (2014) 68–76. Crossref, Web of Science, ADS, Google Scholar
22. X. X. Xu, F. Jia, L. Y. Hu, Z. L. Duan, Q. Guo and S. J. Ma, J Mod. Opt. 59(18) (2012) 1624–1633. Crossref, Web of Science, ADS, Google Scholar
23. X. X. Xu and H. C. Yuan, Int. J Theor. Phys. 53 (2014) 1601–1613. Crossref, Web of Science, Google Scholar