双模压缩真空场与运动原子相互作用过程中的非经典效应
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摘要
第一章简要地介绍了量子熵与纠缠、原子信息熵压缩的基本理论以及光场的非经典效应。第二章运用全量子理论,研究了双模压缩真空态与运动原子相互作用过程中,双模光场的模间纠缠性质。讨论了初始态为激发态下,原子的运动速度和场模结构对模间纠缠性质的影响。结果表明:原子的运动速度和场模结构影响模间纠缠度,但不破坏模间纠缠演化的周期性。第三章运用量子信息熵理论,研究了双模压缩真空态与运动原子相互作用中,运动原子的信息熵压缩。讨论了运动原子初态处于任意态时,原子运动速度、场模结构和场压缩参量对原子信息熵压缩的影响。结果表明,通过选择原子初态,原子运动速度、场模结构,场压缩因子和场压缩相位角可以分别控制原子信息熵压缩的偶极矩分量值、压缩频率、压缩幅度和压缩方向。选择适当的系统参量,运动原子可呈现长时间的持续熵压缩。原子初态的混合度对运动原子的信息熵压缩几乎没有影响。第四章研究了原子运动时双原子Tavis-Cummings模型中双模压缩真空场的量子特性。分析了原子运动速度、场模结构和原子初态对光场量子特性的影响。结果表明:原子运动速度、场模结构和原子初态对双模压缩真空场的量子特性有明显的影响。原子运动速度和场模结构决定光场的量子性质演化的周期性。原子运动速度和场模结构不影响场压缩的最大值。原子初态影响场压缩的最大值和压缩时间。原子运动速度、场模结构和原子初态的变化不改变模间正相关性和模间相关的非经典性。
The theories on quantum entropy entanglement, information entropy squeezing and the non-classical properties of the field are introduced briefly in the chapter one.The quantum entanglement properties of the two-mode squeezing vacuum field interacting with the atomic motion via two-photon transition are studied by means of quantum theory in the chapter one. The influences of atomic motion and the field structure on the quantum entanglement are investigated as the initial state of atom is in the excited state. The results show that the degree of entanglement between two mode vacuum fields is influenced by the values of velocity of the atomic motion and the structure of the field-mode. The periodic evolution of the entanglement properties cannot be destroyed. The information entropy squeezing properties of the atom in motion interacting with the two-mode squeezing vacuum field via two-photon transition are studied by means of quantum theory in the chapter three. The influences of the velocity of atomic motion, the field structure and the parameter of squeezing field on the information entropy squeezing properties of the atom are investigated as the initial atom is in any state. The results indicate that the value of squeezed component of the atomic dipole, squeezed frequency, amplitude and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state, the velocity of atomic motion, the field structure and the squeezing factor of field and the squeezing phase angle of the field respectively. In the longer time, squeezing effects of the atom in motion can be obtained by choosing the system parameters. The mixing degree of atomic initial state has no influence on the entropy squeezing of the atom in motion. The quantum properties of the two-mode squeezing vacuum field in the Tavis-Cummings model with atomic motion are studied by means of quantum theory in the chapter four. The influences of the velocity of atomic motion, the field structure and the initial state on the quantum properties of the field are studied. The results indicate that the velocity of atomic motion, the field structure and the initial state have obvious influences on the quantum properties of the field. The velocity of atomic motion and the field structure control the periodic evolution of the quantum properties of the field. The velocity of atomic motion and the field structure have no influence on the maximum of the field squeezing. The initial state has influences on the maximum and time of the field squeezing. The changes of the velocity of atomic motion, the field structure and the initial state cannot bring changes of the positive pertinence and non-classical properties of pertinence between field modes.
The theories on quantum entropy entanglement, information entropy squeezing and the non-classical properties of the field are introduced briefly in the chapter one.The quantum entanglement properties of the two-mode squeezing vacuum field interacting with the atomic motion via two-photon transition are studied by means of quantum theory in the chapter one. The influences of atomic motion and the field structure on the quantum entanglement are investigated as the initial state of atom is in the excited state. The results show that the degree of entanglement between two mode vacuum fields is influenced by the values of velocity of the atomic motion and the structure of the field-mode. The periodic evolution of the entanglement properties cannot be destroyed. The information entropy squeezing properties of the atom in motion interacting with the two-mode squeezing vacuum field via two-photon transition are studied by means of quantum theory in the chapter three. The influences of the velocity of atomic motion, the field structure and the parameter of squeezing field on the information entropy squeezing properties of the atom are investigated as the initial atom is in any state. The results indicate that the value of squeezed component of the atomic dipole, squeezed frequency, amplitude and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state, the velocity of atomic motion, the field structure and the squeezing factor of field and the squeezing phase angle of the field respectively. In the longer time, squeezing effects of the atom in motion can be obtained by choosing the system parameters. The mixing degree of atomic initial state has no influence on the entropy squeezing of the atom in motion. The quantum properties of the two-mode squeezing vacuum field in the Tavis-Cummings model with atomic motion are studied by means of quantum theory in the chapter four. The influences of the velocity of atomic motion, the field structure and the initial state on the quantum properties of the field are studied. The results indicate that the velocity of atomic motion, the field structure and the initial state have obvious influences on the quantum properties of the field. The velocity of atomic motion and the field structure control the periodic evolution of the quantum properties of the field. The velocity of atomic motion and the field structure have no influence on the maximum of the field squeezing. The initial state has influences on the maximum and time of the field squeezing. The changes of the velocity of atomic motion, the field structure and the initial state cannot bring changes of the positive pertinence and non-classical properties of pertinence between field modes.
引文
[1] E.T.Jaynes,F.W.Cummings.Comparision of quantum and semiclassical radiation theories with application to the beam maser [J].Proc.IEEE,51(1963),89
[2] J.H.Eberly,N.B.Narozhny,J.J.Sanchez-Nondragon.Periodic spontaneous collapse and revival in a simple quantum model[J].Phys.Rev.Lett.,1980,44(20):1 323-1326
[3] 周鹏,彭金生.双光子 Jaynes-Cummings 模型中原子的压缩效应 [J].物理学报,1989,38(12):2044-2048
[4] A.S.Shumovsky,Fam Le Kien,E.I.Aliskenderov.Squeezing in the multiphoton Jaynes-Cummings model[J].Phys.Lett.A,1987,124(6,7):351-354
[5].李高翔,彭金生.论 Janyes-Cummings 模型中原子偶极压缩和光场压缩间的关联 [J].物理学报,1995,44(10):1670-1678
[6] Zhou P,Hu Z L,Peng J S.Effect of Atomic Coherence on the Collapses and Revivals in Some Generalized Janyes-Cummings Models [J].J.Mod.Opt,1992,39(1):49-62
[7] S.Y.Zhu.Non-Classical Features in the three-level Janyes-Cummings Model [J].J.Mod.Opt,1989,36(4):499-513
[8] Schlicher R R. Jaynes-Cummings model with atomic motion [J].Opt Commun.1989, 70:97
[9] Joshi A, Lawande S V. Squeezing and quasiprobabilities for a two-photon Jaynes-Cummings model with atomic motion. Int J Mod Phys B,1992,6:3539
[10] Bartzis V.Generalized Jaynes-Cummings model with atomic motion [J].Physica A, 1992,180:428
[11] 刘小娟,王琴惠.具有原子运动的双光子 J-C 模型的场熵和薛定谔猫态 [J].量子光学 学报,1999,5(1):1-9
[12] 廖湘萍,方卯发.原子质心运动和场模结构对场熵压缩特性的影响 [J].量子电子学报,2005,22(2):212-216
[13] 刘堂昆,王继锁,詹明生.含原子运动的模型中的量子态保真度 [J].原子与分子物理学报,2001,18(1)58-63
[14] EINSTEIN A,PODOLSKY B,ROSEN N.Can Quantum-Mechanical Description of Physical Reality be Considered Complete? [J].Phy Rew,1935,47:777
[15] SCHR?DINGER E.Die gegenw?rtige Situation in der Quantenme chanik [J]. Naturwissenschaften,1935,23:807
[16] 曾谨言,裴寿镛,龙桂鲁.量子力学新进展[M].北京:北京大学出版社,2001:267
[17] Phoenix S J D, Knight P L. Flucuation and entropy in models of quantum optical resonance. Ann Phys (N.Y.),1988, 186:381-407
[18] V.Vedral,M.B.Plenio,M.A.Rippin etc.Quantifying Entanglement [J].Phy.Rew.Lett. 1997,78:2275-2278
[19] E.M.Rains.Bound on Distillable Entanglement [J].Phys.Rew.A,1999,60(1): 179-184
[20] Wu Shengjun,Wu Qiang,Zhang Yong De.The Theorems on Calculating the Relative Entropy of Entanglement [J].2001,18(1):160-162
[21] FURUSAWA A,SORENSEN J L,BRAUNSTEIN S L,et al.Unconditional Quantum Teleportation [J].Science,1998,282(23):706-709
[22] 王成志,方卯发.双模压缩真空态与原子相互作用中的量子纠缠和退相干 [J].物理学报,2002,51(09):1989-1994
[23] 李永平,夏云杰,贺金玉. 双模压缩真空态与运动原子相互作用系统的场熵演化特性 [J].量子光学学报,2006,21(1):4-7
[24] D.Stoler, [J].Phys.Rew.D,1970,1:3217;1971,4:1925
[25] K.Wodkiewicz, [J].Phys.Rew.B,32:4750
[26] Walls D F,Zoller P.Reduced quantum fluctuations in resonance fluorescence [J].Phys.Rev.Lett.,1981,47(10):709-711
[27] 聂义友,陈莹,邹道文等人.强场与级联型三能级原子相互作用中原子的偶极压缩效应[J]光子学报,2002,31(8):913-918
[28] Zhou Peng,Peng Jinseng.Dipole squeezing in the t wo-phot on Jaynes-Cummings model with sith superpostion state preparat ion [J].Phys.Rev(A).1991,44( 5 ):3331-3335
[29] 聂义友,刘三秋等.强场作用下二能级原子双光子过程中原子的压缩效应 [J].光子学报,1999,28(12):1066-1070
[30] 周 鹏 , 彭 金 生 . 单 模 热 辐 射 场 作 用 下 原 子 的 压 缩 效 应 [J]. 中 国 激光,1992,19(8):580-583
[31] Fang M F,Zhou P,Swain S.Entropy Squeezing for a Two-level Atom [J].Mod.Opt, 2000,47(1):1043 ～ 1053. Fang M F.Effect of atomic motion and field mode structure on the field entropy and Schrodinger-cat states in the Jaynes-Cummings model [J].Physica A,1998,259:193
[32] 廖湘萍,方卯发.与量子光场相互作用的运动原子的熵压缩 [J].光学学报,2004,24(7): 983-988
[33] 聂义友,雷敏生,谢芳森.混合态二能级原子双光子过程的粒子数反转特性 [J].光子学报,1999,28(7):591-595
[34] 聂义友,谢芳森,申世华等人.混合态二能级原子双光子过程的光子聚束与反聚束效应 [J].量子电子学报,2000,17(2):134-138.
[35] 聂义友,郑富年,刘三秋等人.混合态二能级原子双光子过程中原子的压缩效应 [J]. 量子电子学报,2002,19(1):38-42.
[36] 刘小娟,周并举,方卯发等人.双光子过程中任意初态原子的信息熵压缩 [J].物理学报,2006,55(02):704-711
[37] 姜春蕾,方卯发,吴珍珍.双纠缠原子在耗散腔场中的纠缠动力学 [J].物理学报,2006,55(9):4647-4651
[38] 王忠纯.外场驱动对 Tavis-Cummings 模型中量子态保真度的影响 [J].物理学报,2006,55(9):4624-4630
[39] 王 忠 纯 .Tavis-Cummings 模 型 中 原 子 运 动 时 光 场 的 非 经 典 特 性 [J]. 物 理报,2006,55(1):0192-0196
[40] 黄春佳,周明,厉江帆等人.双模压缩真空场与耦合双原子相互作用系统中光场的量子特性 [J].物理学报,2000,49(11):2159-2164
[41] 陈爱喜,金丽霞,詹志明.与运动二能级原子作用的双模光场的量子特性 [J].光子学报,2003,32(5):580-583
[2] J.H.Eberly,N.B.Narozhny,J.J.Sanchez-Nondragon.Periodic spontaneous collapse and revival in a simple quantum model[J].Phys.Rev.Lett.,1980,44(20):1 323-1326
[3] 周鹏,彭金生.双光子 Jaynes-Cummings 模型中原子的压缩效应 [J].物理学报,1989,38(12):2044-2048
[4] A.S.Shumovsky,Fam Le Kien,E.I.Aliskenderov.Squeezing in the multiphoton Jaynes-Cummings model[J].Phys.Lett.A,1987,124(6,7):351-354
[5].李高翔,彭金生.论 Janyes-Cummings 模型中原子偶极压缩和光场压缩间的关联 [J].物理学报,1995,44(10):1670-1678
[6] Zhou P,Hu Z L,Peng J S.Effect of Atomic Coherence on the Collapses and Revivals in Some Generalized Janyes-Cummings Models [J].J.Mod.Opt,1992,39(1):49-62
[7] S.Y.Zhu.Non-Classical Features in the three-level Janyes-Cummings Model [J].J.Mod.Opt,1989,36(4):499-513
[8] Schlicher R R. Jaynes-Cummings model with atomic motion [J].Opt Commun.1989, 70:97
[9] Joshi A, Lawande S V. Squeezing and quasiprobabilities for a two-photon Jaynes-Cummings model with atomic motion. Int J Mod Phys B,1992,6:3539
[10] Bartzis V.Generalized Jaynes-Cummings model with atomic motion [J].Physica A, 1992,180:428
[11] 刘小娟,王琴惠.具有原子运动的双光子 J-C 模型的场熵和薛定谔猫态 [J].量子光学 学报,1999,5(1):1-9
[12] 廖湘萍,方卯发.原子质心运动和场模结构对场熵压缩特性的影响 [J].量子电子学报,2005,22(2):212-216
[13] 刘堂昆,王继锁,詹明生.含原子运动的模型中的量子态保真度 [J].原子与分子物理学报,2001,18(1)58-63
[14] EINSTEIN A,PODOLSKY B,ROSEN N.Can Quantum-Mechanical Description of Physical Reality be Considered Complete? [J].Phy Rew,1935,47:777
[15] SCHR?DINGER E.Die gegenw?rtige Situation in der Quantenme chanik [J]. Naturwissenschaften,1935,23:807
[16] 曾谨言,裴寿镛,龙桂鲁.量子力学新进展[M].北京:北京大学出版社,2001:267
[17] Phoenix S J D, Knight P L. Flucuation and entropy in models of quantum optical resonance. Ann Phys (N.Y.),1988, 186:381-407
[18] V.Vedral,M.B.Plenio,M.A.Rippin etc.Quantifying Entanglement [J].Phy.Rew.Lett. 1997,78:2275-2278
[19] E.M.Rains.Bound on Distillable Entanglement [J].Phys.Rew.A,1999,60(1): 179-184
[20] Wu Shengjun,Wu Qiang,Zhang Yong De.The Theorems on Calculating the Relative Entropy of Entanglement [J].2001,18(1):160-162
[21] FURUSAWA A,SORENSEN J L,BRAUNSTEIN S L,et al.Unconditional Quantum Teleportation [J].Science,1998,282(23):706-709
[22] 王成志,方卯发.双模压缩真空态与原子相互作用中的量子纠缠和退相干 [J].物理学报,2002,51(09):1989-1994
[23] 李永平,夏云杰,贺金玉. 双模压缩真空态与运动原子相互作用系统的场熵演化特性 [J].量子光学学报,2006,21(1):4-7
[24] D.Stoler, [J].Phys.Rew.D,1970,1:3217;1971,4:1925
[25] K.Wodkiewicz, [J].Phys.Rew.B,32:4750
[26] Walls D F,Zoller P.Reduced quantum fluctuations in resonance fluorescence [J].Phys.Rev.Lett.,1981,47(10):709-711
[27] 聂义友,陈莹,邹道文等人.强场与级联型三能级原子相互作用中原子的偶极压缩效应[J]光子学报,2002,31(8):913-918
[28] Zhou Peng,Peng Jinseng.Dipole squeezing in the t wo-phot on Jaynes-Cummings model with sith superpostion state preparat ion [J].Phys.Rev(A).1991,44( 5 ):3331-3335
[29] 聂义友,刘三秋等.强场作用下二能级原子双光子过程中原子的压缩效应 [J].光子学报,1999,28(12):1066-1070
[30] 周 鹏 , 彭 金 生 . 单 模 热 辐 射 场 作 用 下 原 子 的 压 缩 效 应 [J]. 中 国 激光,1992,19(8):580-583
[31] Fang M F,Zhou P,Swain S.Entropy Squeezing for a Two-level Atom [J].Mod.Opt, 2000,47(1):1043 ～ 1053. Fang M F.Effect of atomic motion and field mode structure on the field entropy and Schrodinger-cat states in the Jaynes-Cummings model [J].Physica A,1998,259:193
[32] 廖湘萍,方卯发.与量子光场相互作用的运动原子的熵压缩 [J].光学学报,2004,24(7): 983-988
[33] 聂义友,雷敏生,谢芳森.混合态二能级原子双光子过程的粒子数反转特性 [J].光子学报,1999,28(7):591-595
[34] 聂义友,谢芳森,申世华等人.混合态二能级原子双光子过程的光子聚束与反聚束效应 [J].量子电子学报,2000,17(2):134-138.
[35] 聂义友,郑富年,刘三秋等人.混合态二能级原子双光子过程中原子的压缩效应 [J]. 量子电子学报,2002,19(1):38-42.
[36] 刘小娟,周并举,方卯发等人.双光子过程中任意初态原子的信息熵压缩 [J].物理学报,2006,55(02):704-711
[37] 姜春蕾,方卯发,吴珍珍.双纠缠原子在耗散腔场中的纠缠动力学 [J].物理学报,2006,55(9):4647-4651
[38] 王忠纯.外场驱动对 Tavis-Cummings 模型中量子态保真度的影响 [J].物理学报,2006,55(9):4624-4630
[39] 王 忠 纯 .Tavis-Cummings 模 型 中 原 子 运 动 时 光 场 的 非 经 典 特 性 [J]. 物 理报,2006,55(1):0192-0196
[40] 黄春佳,周明,厉江帆等人.双模压缩真空场与耦合双原子相互作用系统中光场的量子特性 [J].物理学报,2000,49(11):2159-2164
[41] 陈爱喜,金丽霞,詹志明.与运动二能级原子作用的双模光场的量子特性 [J].光子学报,2003,32(5):580-583