Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Exact quantum motion of a single trapped ion interacting with standing laser pulses in Lamb-Dicke regime

Yang Mei-Rong Hai Wen-Hua Lu Geng-Biao Zhong Hong-Hua

Exact quantum motion of a single trapped ion interacting with standing laser pulses in Lamb-Dicke regime

Yang Mei-Rong, Hai Wen-Hua, Lu Geng-Biao, Zhong Hong-Hua
PDF
Get Citation
  • We investigate the secular motion of a single Paul-trapped ion in the Lamb-Dicke regime, which interacts with a sequence of standing laser pulses. By using the ansatz method, we get an exact quantum solution of the system. Based on the wave-packet trains described by the exact solution, we find that: i) The center, height and width of the wave-packet trains depend on the strength of laser pulses, the deformation and spread of the wave-packet trains can be controlled by adjusting the strength of laser. ii) Energy expectation values of the ion show jumps at the instantaneous switching on of the laser pulses. In the time intervals when the laser pulses are switched off some narrow energy bands are generated. iii) When the strength of laser pulses reaches a critical value, the system changes its stability.
    • Funds:
    [1]

    [1]Ai L Y, Yang J, Zhang Z M 2008 Acta Phys. Sin. 57 5589 (in Chinese) [艾凌艳、 杨健、 张智明 2008 物理学报 57 5589]

    [2]

    [2]Protsenko I E, Reymond G, Schlosser N, Grangier P 2002 Phys. Rev. A 66 062306

    [3]

    [3]Childs A M, Chuang I L 2000 Phys. Rev. A 63 012306

    [4]

    [4]Klappenecker A, Rtteler M 2003 Phys. Rev. A 67 010302

    [5]

    [5]Lévi B, Georgeot B, Shepelyansky D L 2003 Phys. Rev. E 67 046220

    [6]

    [6]Steane A, Roos C F, Stevens D, Mundt A, Leibfried D, Schmidt-Kaler F, Blatt R 2000 Phys. Rev. A 62 042305

    [7]

    [7]Ngerl H C, Leibfried D, Rohde H, Thalhammer G, Eschner J, Schmidt-Kaler F, Blatt R 1999 Phys. Rev. A 60 145

    [8]

    [8]Feng M, Wang X G 2002 J. Opt. B: Quantum Semiclass. Opt. 4 283

    [9]

    [9]

    [10]

    Feng M, Luo X L, Zhu X W, Shi L, Yan M 1998 Acta Phys. Sin. (Oversea) 7 488

    [11]

    ]Wu Y, Yang X X 1997 Phys. Rev. Lett. 78 3086

    [12]

    ]Shi L, Duan Y W, Feng M, Zhu X W, Fang X M 1998 Acta Phys. Sin. 47 1248 (in Chinese) [施磊、 段宜武、 冯芒、 朱熙文、 方细明 1998 物理学报 47 1248]

    [13]

    ]Gao K L, Yan M, Luo X L, Zhu X W, Huang G L, Li J M, Shi L 1995 Acta Phys. Sin. 44 43 (in Chinese)[高克林、 颜旻、 罗学立、 朱熙文、 黄贵龙、 李交美、 施磊 1995 物理学报 44 43]

    [14]

    ]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 物理学报 55 3438]

    [15]

    ]Fang M F, Liu X 2001 Acta Phys. Sin. 50 2363 (in Chinese) [方卯发、 刘翔 2001 物理学报 50 2363]

    [16]

    ]Hai W H, Duan Y W, Zhu X W, Luo X L, Shi L 1998 J. Phys. A 31 2991

    [17]

    ]Hai W H, Duan Y W, Zhu X W, Shi L, Luo X L, He C S 1997 Acta Phys. Sin. 46 2117 (in Chinese) [海文华、 段宜武、 朱熙文、 施磊、 罗学立、 何春山 1997 物理学报 46 2117]

    [18]

    ]Hai W H, Feng M, Zhu X W, Shi L, Gao K L, Fang X M 1999 J. Phys.  A 32 8265

    [19]

    ]Berman G P, James D F V, Hughes R J, Gulley M S, Holzscheiter M H, López G V 2000 Phys. Rev. A 61 023403

    [20]

    ]Chacón R, Cirac J I 1995 Phys. Rev. A 51 4900

    [21]

    ]Rabitz H, de Vivie-Riedle R, Motzkus M, Kompa K 2008 Science 288 824

    [22]

    ]Kral P, Thanopulos I, Shapiro M 2007 Rev. Mod. Phys. 79 53

    [23]

    ]Scott A J, Holmes C A, Milburn G J 1999 Phys. Rev. A 61 013401

    [24]

    ]Li F, Hai W H 2004 Acta Phys. Sin. 53 1309 (in Chinese) [李飞、 海文华 2004 物理学报 53 1309]

    [25]

    ]Chen W Q, Hai W H, Li H, Ma Z Y 2007 Acta Phys. Sin. 56 1305 (in Chinese)[陈文钦、 海文华、 李辉、 马志英 2007 物理学报 56 1305]

    [26]

    ]Chen W Q, Hai W H, Song J W 2008 Acta Phys. Sin. 57 1608 (in Chinese) [陈文钦、 海文华、 宋建文 2008 物理学报 57 1608]

    [27]

    ]Gardiner S A, Cirac J I, Zoller P 1997 Phys. Rev. Lett. 79 4790

    [28]

    ]Li F, Hai W H, Chong G S, Xie Q T 2004 Commun. Theor. Phys. 42 599

    [29]

    ]Andrér R, Carvalho, Buchleitner A 2004 Phys. Rev. Lett. 93 204101

    [30]

    ]Lizuain I, Muga J G 2007 Phys. Rev. A 76 033808

    [31]

    ]Leibfried D, Blatt R, Monroe C, Wineland D 2003 Rev. Mod. Phys. 75 281

    [32]

    ]Gardiner S A, Jaksch D, Dum R, Cirac J I, Zoller P 2000 Phys. Rev.  A 62 023612

    [33]

    ]Hai W H, Feng M, Zhu X W, Shi L, Gao K L, Fang X M 2000 Phys. Rev. A 61 052105

    [34]

    ]Hai W H, Zhu X W, Feng M, Shi L, Gao K L, Fang X M 2001 J. Phys. A 34 L79

    [35]

    ]Hai W H, Huang S X, Gao K L 2003 J. Phys. B 36 3055

    [36]

    ]Hai W H, Lee C H, Chong G S 2004 Phys. Rev. A 70 053621

  • [1]

    [1]Ai L Y, Yang J, Zhang Z M 2008 Acta Phys. Sin. 57 5589 (in Chinese) [艾凌艳、 杨健、 张智明 2008 物理学报 57 5589]

    [2]

    [2]Protsenko I E, Reymond G, Schlosser N, Grangier P 2002 Phys. Rev. A 66 062306

    [3]

    [3]Childs A M, Chuang I L 2000 Phys. Rev. A 63 012306

    [4]

    [4]Klappenecker A, Rtteler M 2003 Phys. Rev. A 67 010302

    [5]

    [5]Lévi B, Georgeot B, Shepelyansky D L 2003 Phys. Rev. E 67 046220

    [6]

    [6]Steane A, Roos C F, Stevens D, Mundt A, Leibfried D, Schmidt-Kaler F, Blatt R 2000 Phys. Rev. A 62 042305

    [7]

    [7]Ngerl H C, Leibfried D, Rohde H, Thalhammer G, Eschner J, Schmidt-Kaler F, Blatt R 1999 Phys. Rev. A 60 145

    [8]

    [8]Feng M, Wang X G 2002 J. Opt. B: Quantum Semiclass. Opt. 4 283

    [9]

    [9]

    [10]

    Feng M, Luo X L, Zhu X W, Shi L, Yan M 1998 Acta Phys. Sin. (Oversea) 7 488

    [11]

    ]Wu Y, Yang X X 1997 Phys. Rev. Lett. 78 3086

    [12]

    ]Shi L, Duan Y W, Feng M, Zhu X W, Fang X M 1998 Acta Phys. Sin. 47 1248 (in Chinese) [施磊、 段宜武、 冯芒、 朱熙文、 方细明 1998 物理学报 47 1248]

    [13]

    ]Gao K L, Yan M, Luo X L, Zhu X W, Huang G L, Li J M, Shi L 1995 Acta Phys. Sin. 44 43 (in Chinese)[高克林、 颜旻、 罗学立、 朱熙文、 黄贵龙、 李交美、 施磊 1995 物理学报 44 43]

    [14]

    ]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 物理学报 55 3438]

    [15]

    ]Fang M F, Liu X 2001 Acta Phys. Sin. 50 2363 (in Chinese) [方卯发、 刘翔 2001 物理学报 50 2363]

    [16]

    ]Hai W H, Duan Y W, Zhu X W, Luo X L, Shi L 1998 J. Phys. A 31 2991

    [17]

    ]Hai W H, Duan Y W, Zhu X W, Shi L, Luo X L, He C S 1997 Acta Phys. Sin. 46 2117 (in Chinese) [海文华、 段宜武、 朱熙文、 施磊、 罗学立、 何春山 1997 物理学报 46 2117]

    [18]

    ]Hai W H, Feng M, Zhu X W, Shi L, Gao K L, Fang X M 1999 J. Phys.  A 32 8265

    [19]

    ]Berman G P, James D F V, Hughes R J, Gulley M S, Holzscheiter M H, López G V 2000 Phys. Rev. A 61 023403

    [20]

    ]Chacón R, Cirac J I 1995 Phys. Rev. A 51 4900

    [21]

    ]Rabitz H, de Vivie-Riedle R, Motzkus M, Kompa K 2008 Science 288 824

    [22]

    ]Kral P, Thanopulos I, Shapiro M 2007 Rev. Mod. Phys. 79 53

    [23]

    ]Scott A J, Holmes C A, Milburn G J 1999 Phys. Rev. A 61 013401

    [24]

    ]Li F, Hai W H 2004 Acta Phys. Sin. 53 1309 (in Chinese) [李飞、 海文华 2004 物理学报 53 1309]

    [25]

    ]Chen W Q, Hai W H, Li H, Ma Z Y 2007 Acta Phys. Sin. 56 1305 (in Chinese)[陈文钦、 海文华、 李辉、 马志英 2007 物理学报 56 1305]

    [26]

    ]Chen W Q, Hai W H, Song J W 2008 Acta Phys. Sin. 57 1608 (in Chinese) [陈文钦、 海文华、 宋建文 2008 物理学报 57 1608]

    [27]

    ]Gardiner S A, Cirac J I, Zoller P 1997 Phys. Rev. Lett. 79 4790

    [28]

    ]Li F, Hai W H, Chong G S, Xie Q T 2004 Commun. Theor. Phys. 42 599

    [29]

    ]Andrér R, Carvalho, Buchleitner A 2004 Phys. Rev. Lett. 93 204101

    [30]

    ]Lizuain I, Muga J G 2007 Phys. Rev. A 76 033808

    [31]

    ]Leibfried D, Blatt R, Monroe C, Wineland D 2003 Rev. Mod. Phys. 75 281

    [32]

    ]Gardiner S A, Jaksch D, Dum R, Cirac J I, Zoller P 2000 Phys. Rev.  A 62 023612

    [33]

    ]Hai W H, Feng M, Zhu X W, Shi L, Gao K L, Fang X M 2000 Phys. Rev. A 61 052105

    [34]

    ]Hai W H, Zhu X W, Feng M, Shi L, Gao K L, Fang X M 2001 J. Phys. A 34 L79

    [35]

    ]Hai W H, Huang S X, Gao K L 2003 J. Phys. B 36 3055

    [36]

    ]Hai W H, Lee C H, Chong G S 2004 Phys. Rev. A 70 053621

  • [1] Li Fei, Hai Wen-Hua. Regular and chaotic motions of a single trapped ion interacting with standing laser pulses. Acta Physica Sinica, 2004, 53(5): 1309-1315. doi: 10.7498/aps.53.1309
    [2] Zhang Miao, Jia Huan-Yu. Generations of coherent states of single trapped cold ion beyond the Lamb-Dicke limit. Acta Physica Sinica, 2008, 57(2): 880-886. doi: 10.7498/aps.57.880
    [3] Hai Wen-Hua, Song Jian-Wen, Chen Wen-Qin. Regular and chaotic motions of a single Paul-trapped ion interacting with double-δ-kicked pulses. Acta Physica Sinica, 2008, 57(3): 1608-1615. doi: 10.7498/aps.57.1608
    [4] Hai Wen-Hua, Li Hui, Chen Wen-Qin, Ma Zhi-Ying. Regular and chaotic motions of a single trapped ion interacting with a flashing ratchet potential. Acta Physica Sinica, 2007, 56(3): 1305-1312. doi: 10.7498/aps.56.1305
    [5] FANG MAO-FA, LIU XIANG. PERIODIC ENTANGLEMENT BETWEEN THE INTERNAL AND EXTERANL DEGREE OF FREEDOM OF A TRAPPED ION IN A STANDING WAVE LASER. Acta Physica Sinica, 2001, 50(12): 2363-2368. doi: 10.7498/aps.50.2363
    [6] Wang Shan-Shan, Wang De-Hua, Tang Tian-Tian, Huang Kai-Yun. Influence of laser pulse on the photodetachment of H- ion near a metal surface. Acta Physica Sinica, 2011, 60(5): 053402. doi: 10.7498/aps.60.053402
    [7] Chen Zhao-Hang, Wang De-Hua, Cheng Shao-Hao. Study on the photodetachment wave packet dynamics of H- ion in a gradient electric field. Acta Physica Sinica, 2015, 64(23): 233201. doi: 10.7498/aps.64.233201
    [8] Zhang Miao, Jia Huan-Yu, Ji Xiao-Hui, Si Kun, Wei Lian-Fu. Generation of squeezed quantum states of a single trapped cold ion. Acta Physica Sinica, 2008, 57(12): 7650-7657. doi: 10.7498/aps.57.7650
    [9] Li Jin-Qing, Luo Yun-Rong, Hai Wen-Hua. Quantum damping motion of a single trapped ion. Acta Physica Sinica, 2017, 66(23): 233701. doi: 10.7498/aps.66.233701
    [10] Qu Zhao-Jun, Liu Sheng-Dian, Yang Chuan-Lu. Interaction between a trapped ion with a single-mode quantized radiation field. Acta Physica Sinica, 2005, 54(3): 1156-1161. doi: 10.7498/aps.54.1156
  • Citation:
Metrics
  • Abstract views:  4105
  • PDF Downloads:  1028
  • Cited By: 0
Publishing process
  • Received Date:  16 May 2009
  • Accepted Date:  09 August 2009
  • Published Online:  15 April 2010

Exact quantum motion of a single trapped ion interacting with standing laser pulses in Lamb-Dicke regime

  • 1. 湖南师范大学物理系,长沙 410081

Abstract: We investigate the secular motion of a single Paul-trapped ion in the Lamb-Dicke regime, which interacts with a sequence of standing laser pulses. By using the ansatz method, we get an exact quantum solution of the system. Based on the wave-packet trains described by the exact solution, we find that: i) The center, height and width of the wave-packet trains depend on the strength of laser pulses, the deformation and spread of the wave-packet trains can be controlled by adjusting the strength of laser. ii) Energy expectation values of the ion show jumps at the instantaneous switching on of the laser pulses. In the time intervals when the laser pulses are switched off some narrow energy bands are generated. iii) When the strength of laser pulses reaches a critical value, the system changes its stability.

Reference (36)

Catalog

    /

    返回文章
    返回