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The time evolution properties of the field quantum entropy in the system of a trapped ion interacting resonantly with a standing-wave laser field is studied by utilizing the Von Neumann reduced quantum entropy theory, and our attention focuses on the discussion of the influence of the Lamb-Dick parameter, the position of the ion in the standing-wave laser field and the initial state of the trapped ion on the evolution properties of the field quantum entropy. The results obtained from the numerical calculation indicate that: the value of the Lamb-Dick parameter effect the oscillation frequency and amplitude of the quantum entanglement between the trapped ion and the standing-wave laser field, the larger the Lamb-Dick parameter is, the weaker the average entanglement level between the ion and the field will be. When moving the tapped ion from the node of the standing-wave laser to the loop, the vibration frequency of the quantum entanglement between the field and the ion becomes slow gradually, and the entanglement degree gets weaker and weaker. With the decrease of the probability of the trapped ion being in the excited state, the quantum entanglement between the trapped ion and the stanging-wave laser field shows the tendency of increase first and then decrease. These properties have certain reference value for the preparation of entangled states and for the quantum communications with the thapped ion, and so on.
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Keywords:
- quantum information science /
- trapped ion /
- nonlinear Jaynes-Cummings model /
- field quantum entropy
[1] ［1］Yang Z Y, Hou X 2000 Journal of Sangluo Normal College 14 1（in Chinese）［杨志勇、侯洵 2000 商洛师范专科学校学报 14 1］
[2] ［2］Phoenix S J D , Knight PL 1988 Ann. Phys. 186 381
[3] ［3］Phoenix S J D, Knight P L 1990 J. Opt. Soc. Am. B 7 116
[4] ［4］Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023
[5] ［5］Fang M F, Liu H E 1995 Phys. Lett. A 200 250
[6] ［6］Liu X 2000 Physica A 286 588
[7] ［7］Liu W Y, Yang Z Y, An Y Y 2008 Science in China Series G 51 1264
[8] ［8］Liu W Y, An Y Y, Yang Z Y 2007 Chin. Phys. 16 3704
[9] ［9］Wang X G 2001 Phys. Rev. A 64 022302
[10] ］Xu J S, Li C F, Guo G C 2006 Phys. Rev. A 74 052311
[11] ］Liu C L, Zheng Y Z 2006 Acta Phys. Sin. 55 6222 （in Chinese）［刘传龙、郑亦庄 2006 55 6222］
[12] ］Zhou X Q, Wu Y W 2007 Acta Phys. Sin. 56 1881 （in Chinese）［周小清、邬云文 2007 56 1881］
[13] ］Wang S K, Ren J G, Jin X M, Yang B, Yang D, Peng C Z, Jiang S, Wang X B 2008 Acta Phys. Sin. 57 1356 （in Chinese）［王少凯、任继刚、金贤敏、杨彬、杨冬、彭承志、蒋硕、王向斌 2008 57 1356］
[14] ］Wang J X, Yang Z Y, An Y Y 2007 Acta Phys. Sin. 56 6420 （in Chinese）［王菊霞、杨志勇、安毓英 2007 56 6420］
[15] ］Zeng H P, Lin F C 1994 Phys. Rev. A 50 R3589
[16] ］Semiǎo F L, Vidiella-Barranco A, Roversi J A 2001 Phys. Rev. A 64 024305
[17] ］Li G X , Tan H T, Wu S P 2004 Phys. Rev. A 70 064301
[18] ］Zheng X J, Fang M F, Cai J W, Cao S, Liao X P 2006 J. Phys. B: At. Mol. Opt. Phys. 39 4701
[19] ］Zhang M, Jia H Y 2008 Acta Phys. Sin. 57 880 （in Chinese）［张淼、贾焕玉 2008 57 880］
[20] ］Zhang M, Jia H Y, Ji X H, Si K, Wei L F 2008 Acta Phys. Sin. 57 7650 （in Chinese）［张淼、贾焕玉、姬晓辉、司坤、韦联福 2008 57 7650］
[21] ］Qu Z J, Liu S D, Yang C L 2005 Acta Phys. Sin. 54 1156 （in Chinese）［曲照军、柳盛典、杨传路 2005 54 1156］
[22] ］Luo X L, Zhu X W, Wu Y, Feng M, Gao K L 1998 Phys. Lett. A 237 354
[23] ］Wang Z Q, Duan C K, An G L 2006 Acta Phys. Sin. 55 3438 （in Chinese）［汪仲清、段昌奎、安广雷 2006 55 3438］
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[1] ［1］Yang Z Y, Hou X 2000 Journal of Sangluo Normal College 14 1（in Chinese）［杨志勇、侯洵 2000 商洛师范专科学校学报 14 1］
[2] ［2］Phoenix S J D , Knight PL 1988 Ann. Phys. 186 381
[3] ［3］Phoenix S J D, Knight P L 1990 J. Opt. Soc. Am. B 7 116
[4] ［4］Phoenix S J D, Knight P L 1991 Phys. Rev. A 44 6023
[5] ［5］Fang M F, Liu H E 1995 Phys. Lett. A 200 250
[6] ［6］Liu X 2000 Physica A 286 588
[7] ［7］Liu W Y, Yang Z Y, An Y Y 2008 Science in China Series G 51 1264
[8] ［8］Liu W Y, An Y Y, Yang Z Y 2007 Chin. Phys. 16 3704
[9] ［9］Wang X G 2001 Phys. Rev. A 64 022302
[10] ］Xu J S, Li C F, Guo G C 2006 Phys. Rev. A 74 052311
[11] ］Liu C L, Zheng Y Z 2006 Acta Phys. Sin. 55 6222 （in Chinese）［刘传龙、郑亦庄 2006 55 6222］
[12] ］Zhou X Q, Wu Y W 2007 Acta Phys. Sin. 56 1881 （in Chinese）［周小清、邬云文 2007 56 1881］
[13] ］Wang S K, Ren J G, Jin X M, Yang B, Yang D, Peng C Z, Jiang S, Wang X B 2008 Acta Phys. Sin. 57 1356 （in Chinese）［王少凯、任继刚、金贤敏、杨彬、杨冬、彭承志、蒋硕、王向斌 2008 57 1356］
[14] ］Wang J X, Yang Z Y, An Y Y 2007 Acta Phys. Sin. 56 6420 （in Chinese）［王菊霞、杨志勇、安毓英 2007 56 6420］
[15] ］Zeng H P, Lin F C 1994 Phys. Rev. A 50 R3589
[16] ］Semiǎo F L, Vidiella-Barranco A, Roversi J A 2001 Phys. Rev. A 64 024305
[17] ］Li G X , Tan H T, Wu S P 2004 Phys. Rev. A 70 064301
[18] ］Zheng X J, Fang M F, Cai J W, Cao S, Liao X P 2006 J. Phys. B: At. Mol. Opt. Phys. 39 4701
[19] ］Zhang M, Jia H Y 2008 Acta Phys. Sin. 57 880 （in Chinese）［张淼、贾焕玉 2008 57 880］
[20] ］Zhang M, Jia H Y, Ji X H, Si K, Wei L F 2008 Acta Phys. Sin. 57 7650 （in Chinese）［张淼、贾焕玉、姬晓辉、司坤、韦联福 2008 57 7650］
[21] ］Qu Z J, Liu S D, Yang C L 2005 Acta Phys. Sin. 54 1156 （in Chinese）［曲照军、柳盛典、杨传路 2005 54 1156］
[22] ］Luo X L, Zhu X W, Wu Y, Feng M, Gao K L 1998 Phys. Lett. A 237 354
[23] ］Wang Z Q, Duan C K, An G L 2006 Acta Phys. Sin. 55 3438 （in Chinese）［汪仲清、段昌奎、安广雷 2006 55 3438］
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