|
|
|
| 原子与双模相干强场依赖强度耦合多光子过程中纠缠量度与制备 |
| 刘小娟, 刘一曼, 周并举 |
| 湖南科技大学物理系,湘潭 411201 |
| Entanglement and preparation for an atom interacting with two-mode coherent strong field via intensity-dependent coupling multiphoton processes |
| Liu Xiao-Juan, Liu Yi-Man, Zhou Bing-Ju |
| Department of Physics, Hunan University of Science and Technology, Xiangtan 411201, China |
|
|
摘要： 给出了依赖强度耦合双模多光子过程Jaynes-Cummings模型的有效哈密顿量.在强场条件下,分别用量子约化熵和量子相对熵研究了上述模型中原子与场之间的纠缠以及双模相干场的模间纠缠演化.研究表明,这两类纠缠演化均与原子跃迁时吸收(或发射)的光子数k密切相关.同时,还揭示了双光子过程(k=1)和多光子过程(k≥2)中不同的纠缠特性.讨论了纠缠态的制备, 制备了与时间无关的原子-场的Einstein-Podolsky-Rosen态和双模相干场的模间纠缠态.
关键词：
依赖强度耦合
量子纠缠
量子约化熵
量子相对熵
|
|
Abstract： In this paper, effective Hamiltonian of the two-mode multiphoton Jaynes-Cummings model is given via the intensity-dependent coupling in the rotating wave approximation. Under strong field, the atom-field entanglement and the entanglement between two modes of coherent field, according to the above model, are investigated by using the quantum reduced entropy and the quantum relative entropy, respectively. It is showed that properties of these two types of entanglements are considerably relevant to the absorption or emission photon number k, per atomic transition. Different properties of entanglements in the processes of two-photon (k=1) and mutiphoton (k>2) are revealed respectively. The preparation of entangled states is discussed. The Einstein-Podolsky-Rosen states of atom-field irrelevant to time, as well as entangled states between two models of the coherent field are prepared, respectively.
Keywords：
intensity-dependent coupling
quantum entanglement
quantum reduced entropy
quantum relative entropy
|
|
收稿日期: 2010-03-31
出版日期: 2010-12-15
|
|
|
| 基金: 国家自然科学基金(批准号:10374025)和湖南省自然科学基金(批准号:09JJ3012)资助的课题. |
| 引用本文: |
|
刘小娟,刘一曼,周并举. 原子与双模相干强场依赖强度耦合多光子过程中纠缠量度与制备. 物理学报, 2010, 59(12): 8525.
|
| Cite this article: |
|
Liu Xiao-Juan,Liu Yi-Man,Zhou Bing-Ju. Entanglement and preparation for an atom interacting with two-mode coherent strong field via intensity-dependent coupling multiphoton processes. Acta Phys. Sin., 2010, 59(12): 8518-8525.
|
|
|
|
| URL: |
| http://wulixb.iphy.ac.cn/CN/Y2010/V59/I12/8518 |
| [1] | Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
|
| [2] | Schrdinger E 1935 Naturwissenschaften 23 807
|
| [3] | Bell J S 1964 Physics 1 195
|
| [4] | Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575
|
| [5] | Shor P W 1995 Phys. Rev. A 52 2493
|
| [6] | Deusch D, Ekert A, Jozsa R, Macchiavello C, Popescu S, Sanpera A 1998 Phys. Rev. Lett. 80 2022
|
| [7] | Gover L K 1997 Phys. Rev. Lett. 79 325
|
| [8] | Liu T K, Wang J S, Liu X J, Zhan M S 2000 Acta Phys. Sin. 49 708 (in Chinese) [刘堂昆、王继锁、柳晓军、詹明生 2000 物理学报 49 708 ]
|
| [9] | Wang C Z, Fang M F 2002 Acta Phys. Sin. 51 1989 (in Chinese) [王成志、方卯发2002 物理学报 51 1989]
|
| [10] | Liu X J, Fang M F 2003 Chin. Phys. 12 971
|
| [11] | Tan X, Zhang C Q, Xia Y J 2006 Acta Phys. Sin. 55 2263 (in Chinese) [谭 霞、 张成强、夏云杰 2006 物理学报 55 2263]
|
| [12] | Zhou P, Peng J S 1992 J. Mod. Opt. 39 49
|
| [13] | Fang M F 1995 Acta Opt. Sin. 15 296 (in Chinese) [方卯发 1995光学学报 15 296]
|
| [14] | Li C X, Fang M F 2003 Chin. Phys. 12 294
|
| [15] | Gao Y F, Feng J, Zhang G M 2006 J. At. Mol. Phys. 20 887 (in Chinese) [高云峰、冯 健、张桂明 2006 原子与分子物理学报 20 887]
|
| [16] | Gu Z Y, Ji P Y 2002 Acta Phys. Sin. 51 1022 (in Chinese) [顾震宇、季沛勇 2002 物理学报 51 1022]
|
| [17] | Tang Z L, Liang R S, Chang H S 2000 Acta Phys. Sin. 49 1076 (in Chinese) [唐志列、梁瑞生、常鸿森 2000 物理学报 49 1076]
|
| [18] | Liu T K 1994 J. Central China Normal Univ. (Nat. Sci.) 28 185 (in Chinese) [刘堂昆 1994 华中师范大学学报 (自然科学版) 28 185]
|
| [19] | Zhang D Y 2002 Acta Photon. Sin. 31 537 (in Chinese) [张登玉 2002 光子学报 31 537]
|
| [20] | Zhang C Q, Tan X, Xia Y J 2006 Chin. J. Quantum Electron. 23 825 (in Chinese) [张成强、谭 霞、夏云杰 2006 量子电子学报 23 825]
|
| [21] | Zhou Q P 1998 Acta Opt. Sin. 18 712 (in Chinese) [周清平 1998 光学学报 18 712]
|
| [22] | Napoli A, Messin A 1996 J. Mod. Opt. 43 649
|
| [23] | Phoenix S J D, Knight P L 1998 Ann. Phys. 186 381
|
| [24] | Schmidt E 1907 Math. Ann. 63 433
|
| [25] | Vedral V, Plenio M B 1998 Phys. Rev. A 57 1619
|
| [26] | Rains E 1999 Phys. Rev. A 60 179
|
|
[1]
|
卢道明. 三能级原子与耦合腔相互作用系统中的纠缠特性[J]. 物理学报, 2012, 61(3): 030301.
|
|
[2]
|
赵加强. 三光子GHZ态中不同Bell型不等式的实验研究[J]. 物理学报, 2012, 61(17): 00.
|
|
[3]
|
赵加强, 曹连振, 王晓芹, 逯怀新. 三光子GHZ态中不同Bell型 不等式的实验研究 [J]. 物理学报, 2012, 61(17): 0170301.
|
|
[4]
|
卢道明. 三个耦合腔系统中的纠缠特性[J]. 物理学报, 2012, 61(15): 0150303.
|
|
[5]
|
廖庆洪, 刘晔. 陆续通过一个双模腔的两原子之间纠缠的突然产生和调控[J]. 物理学报, 2012, 61(15): 0150301.
|
|
[6]
|
何弦, 何济洲, 肖宇玲. 四能级量子制冷循环[J]. 物理学报, 2012, 61(15): 0150302.
|
|
[7]
|
夏建平, 任学藻, 丛红璐, 王旭文, 贺树. 两量子比特与谐振子相耦合系统中的量子纠缠演化特性[J]. 物理学报, 2012, 61(1): 014208.
|
|
[8]
|
卢道明. 原子与耦合腔相互作用系统中的纠缠特性[J]. 物理学报, 2011, 60(9): 090302.
|
|
[9]
|
徐岩, 樊炜, 陈兵, 李照鑫. S=1旋量Bose-Einstein凝聚中制备双模最大纠缠态方案[J]. 物理学报, 2011, 60(6): 060305.
|
|
[10]
|
王淑静, 马善钧. 由光分束器和起偏器混合产生的三模纠缠态表象[J]. 物理学报, 2011, 60(3): 030302.
|
|
[11]
|
刘圣鑫, 李莎莎, 孔祥木. Dzyaloshinskii-Moriya相互作用对量子XY链中热纠缠的影响[J]. 物理学报, 2011, 60(3): 030303.
|
|
[12]
|
卢道明. Λ型和V型三能级原子与耦合腔相互作用系统中的纠缠特性[J]. 物理学报, 2011, 60(12): 120303.
|
|
[13]
|
刘小娟, 赵明卓, 刘一曼, 周并举, 彭朝晖. 运动原子与光场依赖强度纠缠下最佳熵压缩态的制备和控制[J]. 物理学报, 2010, 59(5): 3227-3235.
|
|
[14]
|
周南润, 曾宾阳, 王立军, 龚黎华. 基于纠缠的选择自动重传量子同步通信协议[J]. 物理学报, 2010, 59(4): 2193-2199.
|
|
[15]
|
陈宇, 邹健, 李军刚, 邵彬. 耗散环境下三原子之间稳定纠缠的量子反馈控制[J]. 物理学报, 2010, 59(12): 8365-8370.
|
|
|
|
2010, Vol. 59 
