Wigner functions of thermo number state, photon subtracted and added thermo vacuum state at finite temperature

Modern Physics Letters A

Volumn 24, Issue 28, 2009, Pages 2263-2274

  Hu, Li Yun ^a,b   Fan, Hong Yi ^b  

^a JIANGXI NORMAL UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Photon subtracted and added thermo vacuum state; Thermo field dynamics; Thermo number state; Weyl ordered operators; Wigner functions

Indexed keywords

EID: 70349915997     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732309030953     Document Type: Article

References (38)

1. V. Parigi, A. Zavatta, M. S. Kim and M. Bellini, Science 317, 1890 (2007).
2. R. W. Boyd, K. W. Chan and M. N. O'Sullivan, Science 317, 1874 (2007).
3. J. Wenger, R. Tualle-Brouri and P. Grangier, Phys. Rev. Lett. 92, 153601 (2004).
4. A. Zavatta, S. Viciani and M. Bellini, Science 306, 660 (2004).
5. A. Ourjoumtsev, A. Dantan, R. Tualle-Brouri and P. Grangier, Phys. Rev. Lett. 98, 030502 (2007).
6. A. Ourjoumtsev, A. Dantan, R. Tualle-Brouri and P. Grangier, Phys. Rev. Lett. 96, 213601 (2006).
7. A. Biswas and G. S. Agarwal, Phys. Rev. A 75, 032104 (2007).
8. L.-Y. Hu and H.-Y. Fan, J. Opt. Soc. Am. B 25, 1955 (2008).
9. E. Wigner, Phys. Rev. 40, 749 (1932).
10. W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, 2001).
11. M. S. Kim and V. Bǔzek, Phys. Rev. A 46, 4239 (1992).
12. H. Jeong, A. P. Lund and T. C. Ralph, Phys. Rev. A 72, 013801 (2005).
13. H. Jeong, J. Lee and H. Nha, J. Opt. Soc. Am. B 25, 1025 (2008).
14. H.-Y. Fan, J. Phys. A 25, 3443 (1992).
15. H.-Y. Fan, Ann. Phys. 323, 500 (2008).
16. H.-Y. Fan, Mod. Phys. Lett. A 12, 2325 (1997).
17. H.-Y. Fan, Mod. Phys. Lett. A 15, 2297 (2000).
18. H.-Y. Fan and Y. Fan, Mod. Phys. Lett. A 13, 433 (1998).
19. H.-Y. Fan and Y. Fan, Int. J. Mod. Phys. A 17, 701 (2002).
20. Y. Takahashi and H. Umezawa, Collective Phenomena 2, 55 (1975).
21. Memorial Issue for H. Umezawa, Int. J. Mod. Phys. B 10, 1695 (1996) memorial issue and references therein.
22. H. Umezawa, Advanced Field Theory - Micro; Macro; and Thermal Physics (AIP, 1993).
23. R. R. Puri, Mathematical Methods of Quantum Optics (Springer-Verlag, 2001), Appendix A.
24. G. S. Agarwal, Phys. Rev. A 45, 1787 (1992).
25. H.-Y. Fan et al., Ann. Phys. 321, 480 (2006).
26. W. Magnus et al., Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd edn. (Springer-Verlag, 1966).
27. G. S. Agarwal and K. Tara, Phys. Rev. A 46, 485 (1992).
28. A. Wünsche, J. Comput. Appl. Math. 133, 665 (2001).
29. A. Wünsche, J . Phys. A: Math. Gen. 33, 1603 (2000).
30. H.-Y. Fan and L.-Y. Hu, Mod. Phys. Lett. B 22, 2435 (2008).
31. H.-Y. Fan and H.-L. Lu, Mod. Phys. Lett. B 21, 183 (2007).
32. H.-Y. Fan and L.-Y. Hu, Opt. Commun. 281, 5571 (2008).
33. L.-Y. Hu and H.-Y. Fan, Chin. Phys. B 18, 0902 (2009).
34. H.-Y. Fan, Phys. Lett. A 124, 303 (1987).
35. R. J. Glauber, Phys. Rev. 130, 2529 (1963).
36. R. J. Glauber, Phys. Rev. 131, 2766 (1963).
37. J. R. Klauder and B. S. Skargerstam, Coherent States (World Scientific, 1985).
38. H.-Y. Fan, Commun. Theor. Phys. 42, 339 (2004).