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Based on the Schwinger Bose operator realization of angular momentum, we introduce the entangled state representation as well as the Wigner operator in such representation and then derive the Wigner quasiprobability function of spin coherent states. The properties of corresponding Wigner function in the phase space are discussed by numerical calculation. The results indicate that the spin coherent states based on Schwinger Bose operator realization actually show entanglement properties.
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Keywords:
- spin coherent state /
- Schwinger Bose operation realization /
- Wigner function /
- entangled state representation
[1] Wigner E 1932 Phys. Rev. 40 749
[2] Kurtsiefer C, Pfau T, Mlynek J 1997 Nature 386 150
[3] Vogel K, Risken H 1989 Phys. Rev. A 40 2847
[4] Franca S M, Lutterbach L G, Dutra S M, Zagury N, Davidovich L 2001 Phys. Rev. A 63 033813
[5] Zhang Z M 2004 Acta Phys.Sin. 53 70 (in Chinese) [张智明 2004 53 70]
[6] Yang Q Y, Sun J W, Wei L F, Ding L E 2005 Acta Phys. Sin. 54 2704 (in Chinese) [杨庆怡、孙敬文、韦联福、丁良恩 2005 54 2704]
[7] Meng X G, Wang J S, Liang B L 2007 Acta Phys. Sin. 56 2160 (in Chinese) [孟祥国、王继锁、梁宝龙 2007 56 2160]
[8] Ye C G, Zhang J 2008 Acta Phys. Sin. 57 6962 (in Chinese) [叶晨光、张 靖 2008 57 6962]
[9] Lan H J, Pang H F, Wei L F 2009 Acta Phys. Sin. 58 8281(in Chinese) [蓝海江、庞华锋、韦联福 2009 58 8281]
[10] Hepp K, Lieb E H 1973 Phys. Rev. A 8 2517
[11] Marducci L M, Bowden C M 1975 Phys. Rev. A 11 973
[12] Takahashi Y, Shibata F 1975 J. Phys. Soc. Jpn. 38 656
[13] Arecchi F T, Courtens E, Gilmore R, Thomas H 1972 Phys. Rev. A 6 2211
[14] Radcliffe J M 1971 J. Phys. A 4 313
[15] Schwinger J 1965 Quantum Theory of Angular Momentum (New York: Academic Press) p229
[16] Fan H Y 1987 Commun. Theor. Phys. 7 125
[17] Fan H Y, Klauder J R 1994 Phys. Rev. A 49 704
[18] Fan H Y, Chen B Z 1996 Phys. Rev. A 53 2948
[19] Fan H Y, Ye X 1993 Phys. Lett. A 175 387
[20] Fan H Y, Chen J 2003 Eu. Phys. J. D 23 437
[21] Fan H Y, Fan Y 1998 Mod. Phys. Lett. A 13 433
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[1] Wigner E 1932 Phys. Rev. 40 749
[2] Kurtsiefer C, Pfau T, Mlynek J 1997 Nature 386 150
[3] Vogel K, Risken H 1989 Phys. Rev. A 40 2847
[4] Franca S M, Lutterbach L G, Dutra S M, Zagury N, Davidovich L 2001 Phys. Rev. A 63 033813
[5] Zhang Z M 2004 Acta Phys.Sin. 53 70 (in Chinese) [张智明 2004 53 70]
[6] Yang Q Y, Sun J W, Wei L F, Ding L E 2005 Acta Phys. Sin. 54 2704 (in Chinese) [杨庆怡、孙敬文、韦联福、丁良恩 2005 54 2704]
[7] Meng X G, Wang J S, Liang B L 2007 Acta Phys. Sin. 56 2160 (in Chinese) [孟祥国、王继锁、梁宝龙 2007 56 2160]
[8] Ye C G, Zhang J 2008 Acta Phys. Sin. 57 6962 (in Chinese) [叶晨光、张 靖 2008 57 6962]
[9] Lan H J, Pang H F, Wei L F 2009 Acta Phys. Sin. 58 8281(in Chinese) [蓝海江、庞华锋、韦联福 2009 58 8281]
[10] Hepp K, Lieb E H 1973 Phys. Rev. A 8 2517
[11] Marducci L M, Bowden C M 1975 Phys. Rev. A 11 973
[12] Takahashi Y, Shibata F 1975 J. Phys. Soc. Jpn. 38 656
[13] Arecchi F T, Courtens E, Gilmore R, Thomas H 1972 Phys. Rev. A 6 2211
[14] Radcliffe J M 1971 J. Phys. A 4 313
[15] Schwinger J 1965 Quantum Theory of Angular Momentum (New York: Academic Press) p229
[16] Fan H Y 1987 Commun. Theor. Phys. 7 125
[17] Fan H Y, Klauder J R 1994 Phys. Rev. A 49 704
[18] Fan H Y, Chen B Z 1996 Phys. Rev. A 53 2948
[19] Fan H Y, Ye X 1993 Phys. Lett. A 175 387
[20] Fan H Y, Chen J 2003 Eu. Phys. J. D 23 437
[21] Fan H Y, Fan Y 1998 Mod. Phys. Lett. A 13 433
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