GENERAL |
|
|
|
|
Quantum Correlation Coefficients for Angular Coherent States |
CHEN Wei1, HE Yan2, GUO Hao3 |
1Department of Mathematics, Zhangzhou Normal University, Zhangzhou 3630002Department of Physics, Peking University, Beijing 1008713Department of Physics, Tsinghua University, Beijing 100084 |
|
Cite this article: |
CHEN Wei, HE Yan, GUO Hao 2009 Chin. Phys. Lett. 26 100202 |
|
|
Abstract Quantum covariance and correlation coefficients of angular or SU(2) coherent states are directly calculated for all irreducible unitary representations. These results explicitly verify that the angular coherent states minimize the Robertson-Schrodinger uncertainty relation for all spins, which means that they are the so-called intelligent states. The same results can be obtained by the Schwinger representation approach.
|
Keywords:
02.20.Sv
03.65.Fd
42.50.Ar
|
|
Received: 08 December 2008
Published: 27 September 2009
|
|
|
|
|
|
[1] Schrodinger E 1926 Naturwissenschaften 14664 [2] Glauber R J 1963 Phys. Rev. 130 2529 Glauber R J 1963 Phys Rev. 131 2766 [3] Perelomov A 1986 Generalized Coherent States andTheir Applications, Texts and Monographs in Physics (Berlin:Spinger) [4] Zhang W, Feng D and Gilmore R 1990 Rev. Mod. Phys. 62 867 [5] Perelomov A M 1972 Commun. Math. Phys. 26 222 [6] Radcliffe J M 1971 J. Phys. A: Gen. Phys. 4313 [7] Arecchi F T, Courtens E, Gilmore R and Thomas H 1972 Phys. Rev. A 6 2211 [8] Robertson H B 1930 Phys. Rev. 35 667 Robertson H B 1934 Phys. Rev. 46 794 [9] Trifonov D A 1994 J. Math. Phys. 35 2297 Trifonov D A 1994 Phys. Lett. A 187 284 [10] Dodonov V, Man'ko O V and Man'ko V I 1994 Phys.Rev. A 50 813 [11] Nemoto K arXiv:quant-phy/0004087 [12] Daoud D arXiv:math-ph/0409045 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|