Search
This Journal
This Journal
Anywhere
Quick Search in Journals
Enter words / phrases / DOI / ISBN / keywords / authors / etc
Access type:Only show content I have full access toOnly show Open Access
Advanced Search
0 My Cart
Sign in
Institutional Access

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Research PapersNo Access

WIGNER FUNCTIONS OF THERMO NUMBER STATE, PHOTON SUBTRACTED AND ADDED THERMO VACUUM STATE AT FINITE TEMPERATURE

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

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

Corresponding author.

Search for more papers by this author

and

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

Search for more papers by this author

https://doi.org/10.1142/S0217732309030953Cited by:24 (Source: Crossref)

Abstract

Based on Takahashi–Umezawa thermo field dynamics and the order-invariance of Weyl ordered operators under similar transformations, we present a new approach to derive the exact Wigner functions of thermo number state, photon subtracted and added thermo vacuum state. We find that these Wigner functions are related to the Gaussian–Laguerre type functions of temperature, whose statistical properties are then analyzed.

Keywords:

References

V. Parigiet al., Science 317, 1890 (2007), DOI: 10.1126/science.1146204. Crossref, Web of Science, Google Scholar
R. W. Boyd, K. W. Chan and M. N. O'Sullivan, Science 317, 1874 (2007), DOI: 10.1126/science.1148947. Crossref, Web of Science, Google Scholar
J. Wenger, R. Tualle-Brouri and P. Grangier, Phys. Rev. Lett. 92, 153601 (2004), DOI: 10.1103/PhysRevLett.92.153601. Crossref, Web of Science, ADS, Google Scholar
A. Zavatta, S. Viciani and M. Bellini, Science 306, 660 (2004), DOI: 10.1126/science.1103190. Crossref, Web of Science, ADS, Google Scholar
A. Ourjoumtsevet al., Phys. Rev. Lett. 98, 030502 (2007), DOI: 10.1103/PhysRevLett.98.030502. Crossref, Web of Science, Google Scholar
A. Ourjoumtsevet al., Phys. Rev. Lett. 96, 213601 (2006), DOI: 10.1103/PhysRevLett.96.213601. Crossref, Web of Science, ADS, Google Scholar
A. Biswas and G. S. Agarwal, Phys. Rev. A 75, 032104 (2007), DOI: 10.1103/PhysRevA.75.032104. Crossref, Web of Science, Google Scholar
L.-Y. Hu and H.-Y. Fan, J. Opt. Soc. Am. B 25, 1955 (2008), DOI: 10.1364/JOSAB.25.001955. Crossref, Web of Science, Google Scholar
E. Wigner, Phys. Rev. 40, 749 (1932), DOI: 10.1103/PhysRev.40.749. Crossref, Web of Science, ADS, Google Scholar
W. P. Schleich , Quantum Optics in Phase Space ( Wiley-VCH , 2001 ) . Crossref, Google Scholar
M. S. Kim and V. Bužek, Phys. Rev. A 46, 4239 (1992), DOI: 10.1103/PhysRevA.46.4239. Crossref, Web of Science, ADS, Google Scholar
H. Jeong, A. P. Lund and T. C. Ralph, Phys. Rev. A 72, 013801 (2005), DOI: 10.1103/PhysRevA.72.013801. Crossref, Web of Science, Google Scholar
H. Jeong, J. Lee and H. Nha, J. Opt. Soc. Am. B 25, 1025 (2008), DOI: 10.1364/JOSAB.25.001025. Crossref, Web of Science, Google Scholar
H.-Y. Fan, J. Phys. A 25, 3443 (1992). Google Scholar
H.-Y. Fan, Ann. Phys. 323, 500 (2008). Crossref, Web of Science, ADS, Google Scholar
H.-Y. Fan, Mod. Phys. Lett. A 12, 2325 (1997), DOI: 10.1142/S0217732397002405. Link, Web of Science, ADS, Google Scholar
H.-Y. Fan, Mod. Phys. Lett. A 15, 2297 (2000), DOI: 10.1142/S0217732300001808. Link, Web of Science, ADS, Google Scholar
H.-Y. Fan and Y. Fan, Mod. Phys. Lett. A 13, 433 (1998), DOI: 10.1142/S0217732398000504. Link, Web of Science, ADS, Google Scholar
H.-Y. Fan and Y. Fan, Int. J. Mod. Phys. A 17, 701 (2002), DOI: 10.1142/S0217751X02003257. Link, Web of Science, ADS, Google Scholar
Y. Takahashi and H. Umezawa, Collective Phenomena 2, 55 (1975). Google Scholar
H. Umezawa, Int. J. Mod. Phys. B 10, 1695 (1996). Web of Science, Google Scholar
H. Umezawa , Advanced Field Theory — Micro, Macro, and Thermal Physics ( AIP , 1993 ) . Google Scholar
R. R. Puri , Mathematical Methods of Quantum Optics ( Springer-Verlag , 2001 ) . Crossref, Google Scholar
G. S. Agarwal, Phys. Rev. A 45, 1787 (1992), DOI: 10.1103/PhysRevA.45.1787. Crossref, Web of Science, ADS, Google Scholar
H.-Y. Fanet al., Ann. Phys. 321, 480 (2006). Crossref, Web of Science, ADS, Google Scholar
W. Magnus et al. , Formulas and Theorems for the Special Functions of Mathematical Physics , 3rd edn. ( Springer-Verlag , 1966 ) . Crossref, Google Scholar
G. S. Agarwal and K. Tara, Phys. Rev. A 46, 485 (1992), DOI: 10.1103/PhysRevA.46.485. Crossref, Web of Science, ADS, Google Scholar
A. Wünsche, J. Comput. Appl. Math. 133, 665 (2001). Crossref, Web of Science, Google Scholar
A. Wünsche, J. Phys. A: Math. Gen. 33, 1603 (2000). Crossref, ADS, Google Scholar
H.-Y. Fan and L.-Y. Hu, Mod. Phys. Lett. B 22, 2435 (2008), DOI: 10.1142/S0217984908017072. Link, Web of Science, ADS, Google Scholar
H.-Y. Fan and H.-L. Lu, Mod. Phys. Lett. B 21, 183 (2007), DOI: 10.1142/S0217984907012694. Link, Web of Science, ADS, Google Scholar
H.-Y. Fan and L.-Y. Hu, Opt. Commun. 281, 5571 (2008), DOI: 10.1016/j.optcom.2008.08.002. Crossref, Web of Science, ADS, Google Scholar
L.-Y. Hu and H.-Y. Fan, Chin. Phys. B 18, 0902 (2009), DOI: 10.1088/1674-1056/18/3/046. Web of Science, ADS, Google Scholar
H.-Y. Fan, Phys. Lett. A 124, 303 (1987), DOI: 10.1016/0375-9601(87)90016-8. Crossref, Web of Science, ADS, Google Scholar
R. J. Glauber, Phys. Rev. 130, 2529 (1963), DOI: 10.1103/PhysRev.130.2529. Crossref, Web of Science, ADS, Google Scholar
R. J. Glauber, Phys. Rev. 131, 2766 (1963), DOI: 10.1103/PhysRev.131.2766. Crossref, Web of Science, ADS, Google Scholar
J. R. Klauder and B. S. Skargerstam , Coherent States ( World Scientific , 1985 ) . Link, Google Scholar
H.-Y. Fan, Commun. Theor. Phys. 42, 339 (2004). Web of Science, ADS, Google Scholar

Journal cover image

Vol. 24, No. 28

Metrics

Downloaded 50 times

History

Received 11 January 2009

Keywords