光学学报, 2008, 28 (3): 549, 网络出版: 2008-03-24   

奇偶对相干态的维格纳函数和层析图函数

Wigner Functions and Tomogram Functions of Even and Odd Pair Coherent States
作者单位
聊城大学物理系,山东 聊城 252059
摘要
利用纠缠态η〉表象下的维格纳算符,重构了奇偶对相干态的维格纳函数。根据维格纳函数在相空间中随变量ρ和γ的变化规律,讨论了奇偶对相干态的非经典性质和量子干涉效应。研究发现,奇偶对相干态总呈现非经典性质,并且当q取奇数时,奇偶对相干态更容易出现非经典性质。奇偶对相干态的量子干涉效应的显著程度与q取值有关,但对于q的同一取值,奇对相干态的量子干涉效应更为显著。利用纠缠态η〉表象下的维格纳算符Δ1,2(ρ,γ)和纠缠态η,τ1,τ2〉的投影算符之间满足的拉东变换,获得了奇偶对相干态的量子层析图函数。
Abstract
With the entangled state η〉 representation of the Wigner operator, Wigner functions for even and odd pair coherent states (EOPCs) are reconstructed. In terms of variations of Wigner functions with the parameters ρ and γ in the phase space, nonclassical properties and quantum interference effects of EOPCSs are discussed. It is found that EOPCSs always exhibit nonclassical properties, especially when q is odd. Quantum interference effects of EOPCSs depend on the value of q, but for a fixed q quantum interference effects of the odd pair coherent state are more prominent. Based on the Radon transform between the entangled state η〉 representation and the project operator of the entangled state η,τ1,τ2〉, the quantum tomogram functions for the EOPCSs are obtained.
参考文献

[1] . M. D′Ariano, C. Macchiavello, M. G. A. Paris. Detection of the density matrix through optical homodyne tomography without filtered back projection[J]. Phys. Rev. A, 1994, 50(5): 4298-4302.

[2] . Wallentowitz, W. Vogel. Unbalanced homodyning for quantum state measurements[J]. Phys. Rev. A, 1996, 53(6): 4528-4533.

[3] . Franca Santos, E. Solano, R. L. de Matos Filho. Conditional large fock state preparation and field state reconstruction in cavity QED[J]. Phys. Rev. Lett., 2001, 87(9): 093601-4.

[4] . Recent progress of quantum-state reconstruction of electromagnetic fields[J]. Mod. Phys. Lett. B, 2004, 18(10): 393-409.

[5] . T. Smithey, M. Beck, J. Cooper et al.. Measurement of number-phase uncertainty relations of optical fields[J]. Phys. Rev. A, 1993, 48(4): 3159-3167.

[6] . Banaszek, C. Radzewicz, K. Wodkiewicz et al.. Direct measurement of the Wigner function by photon counting[J]. Phys. Rev. A, 1999, 60(1): 674-677.

[7] . Nogues, A. Rauschenbeutel, S. Osnaghi et al.. Measurement of a negative value for the Wigner function of radiation[J]. Phys. Rev. A, 2000, 62(5): 054101-3.

[8] Meng Xiangguo, Wang Jisuo, Liang Baolong. Phase properties for the photon-added even and odd coherent states[J]. Acta Optica Sinica, 2007, 27(4): 721~726
孟祥国,王继锁,梁宝龙. 增光子奇偶相干态的相位特性[J]. 光学学报, 2007, 27(4): 721~726

[9] . A. El-Orany Faisal, J. Peina. Phase properties of superposition of pair-coherent states[J]. Opt. Commun., 2001, 197(10): 363-373.

[10] Song Tongqiang, Zhu Yuejin. Nonlinear effects of the nonlinear pair coherent state[J]. Acta Optica Sinica, 2003, 23(8): 906~909
宋同强,诸跃进. 非线性孪对相干态的光子统计性质[J]. 光学学报, 2003, 23(8): 906~909

[11] Fan Hongyi. Entangled State Representations in Quantum Mechanics and Their Applications[M]. Shanghai: Shanghai Jiao Tong University Press, 2001. 37, 45~52, 88
范洪义. 量子力学纠缠态表象及应用[M]. 上海: 上海交通大学出版社, 2001. 37, 45~52, 88

[12] . I. Man′ko, G. Marmo, A. Simoni et al.. Tomograms in the quantum-classical transition[J]. Phys. Lett. A, 2005, 343(4): 251-266.

[13] Fan Hongyi. Representation and Transformation Theory in Quantum Mechanics[M]. Shanghai: Shanghai Scientific & Technical Publishers,1997. 117
范洪义. 量子力学表象与变换论[M]. 上海: 上海科学技术出版社, 1997. 117

孟祥国, 王继锁, 梁宝龙. 奇偶对相干态的维格纳函数和层析图函数[J]. 光学学报, 2008, 28(3): 549. Meng Xiangguo, Wang Jisuo, Liang Baolong. Wigner Functions and Tomogram Functions of Even and Odd Pair Coherent States[J]. Acta Optica Sinica, 2008, 28(3): 549.

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