From the Thermo Wigner Operator to the Thermo Husimi Operator in Thermo Field Dynamics
XU Xue-Fen1, ZHU Shi-Qun2
1School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001 2School of Physical Science and Technology, Suzhou University, Suzhou 215006
From the Thermo Wigner Operator to the Thermo Husimi Operator in Thermo Field Dynamics
XU Xue-Fen1, ZHU Shi-Qun2
1School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001 2School of Physical Science and Technology, Suzhou University, Suzhou 215006
Using the thermo entangled state representation and based on the thermo Wigner operator we first introduce the thermo Husimi operator, which turns out to be a projective operator of the thermo squeezed coherent state, therefore the positive definite property of Husimi distribution function can be insured. In addition, we find the use of the thermo Husimi operator in simplifying the form of master equations.
Using the thermo entangled state representation and based on the thermo Wigner operator we first introduce the thermo Husimi operator, which turns out to be a projective operator of the thermo squeezed coherent state, therefore the positive definite property of Husimi distribution function can be insured. In addition, we find the use of the thermo Husimi operator in simplifying the form of master equations.
XU Xue-Fen;ZHU Shi-Qun. From the Thermo Wigner Operator to the Thermo Husimi Operator in Thermo Field Dynamics[J]. 中国物理快报, 2010, 27(9): 90305-090305.
XU Xue-Fen, ZHU Shi-Qun. From the Thermo Wigner Operator to the Thermo Husimi Operator in Thermo Field Dynamics. Chin. Phys. Lett., 2010, 27(9): 90305-090305.
[1] Gardiner C W 1991 Quantum Noise (Berlin: Springer-Verlag) Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University) [2] Husimi K 1940 Proc. Phys. Math. Soc. Jpn. 22 264 [3] Umezawa H 1996 Int. J. Mod. Phys. B 10 1695 Takahashi Y and Umezawa H 1755 Collective Phenomena 2 55 [4] Hu L Y and Fan H Y 2009 Chin. Phys. Lett. 26 090307 [5] Fan H Y and Jiang N Q 2008 Physica Scripta 78 045402 [6] Fan H Y and Fan Y 1998 Phys. Lett. A 246 242 Fan H Y and Fan Y 2001 Phys. Lett. A 282 269 [7] Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147 Wang S, Jiang J J and Li H Q 2009 Chin. Phys. Lett. 26 060304 Xu X F and Zhu S Q 2008 Chin. Phys. Lett. 25 2762 [8] Buzek V 1990 J. Mod. Opt. 37 303 Loudon R and Knight P L 1987 J. Mod. Opt. 34 709 Dodonov V V 2002 J. Opt. B: Quantum Semiclass. Opt. 4 R1