| 量子光学理论中双模厄米多项式的新应用 |
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| 引用本文： | 余之松,范洪义.量子光学理论中双模厄米多项式的新应用[J].量子光学学报,2012,18(1):1-5. |
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| 作者姓名： | 余之松 范洪义 |
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| 作者单位： | 1. 湖北师范学院物理与电子科学学院,湖北黄石,435002
2. 上海交通大学物理系,上海,200240 |
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| 摘 要： | 强调双模厄米多项式在量子光学理论中的地位,认为它是研究连续变量纠缠态和压缩态的必要函数,具有明确的物理意义。利用双模厄米多项式,结合有序算符内的积分技术,给出了若干新的算符恒等式和互逆的积分变换公式,证明了压缩双模粒子数态恰好是双变量厄米多项式激发压缩真空态。
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| 关 键 词： | 算符恒等式 双模厄米多项式 纠缠态表象 |
| 收稿时间： | 2011/11/7 |
New Applications of Two-mode Hermite Polynomials in Quantum Optics Theory |
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| YU Zhi-song
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FAN Hong-yi.New Applications of Two-mode Hermite Polynomials in Quantum Optics Theory[J].Acta Sinica Quantum Optica,2012,18(1):1-5. |
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| Authors: | YU Zhi-song FAN Hong-yi |
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| Institution: | 1.College of Physics and Electronic Science,Hubei Normal University,Huangshi,Hubei 435002,China;2.Department of Physics,Shanghai Jiao Tong University,Shanghai 200240,China) |
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| Abstract: | We emphasize the importance of two-mode Hermite poly-nomials in quantum optics theory，we consider it as the prominent function in studying the entangled state of continuum variables and two-mode squeezed state, and that possesses a clear physical meaning. By virtue of the two-mode Hermite polynomials and combining operators' integration technique within normal and antinormal orderings，we derive some new operator identities and mutual invertible integration transformation, and prove that squeezed two-mode number state is just the two-mode Hermite polynomial excited squeezed two-mode vacuum state. |
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| Keywords: | operator identities two-mode Hermite polynomials entangled states representation |
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