| 摘要: |
| 基于量子态的反聚束效应及Wigner函数的分布规律,利用二阶相干度及Fock态表象下Wigner函数的表示式,分别计算湮没算符三次幂本征态的二阶相干度及Wigner函数,讨论湮没算符三次幂本征态的非经典特性.结果表明,湮没算符三次幂本征态都具有反聚束效应,并且其Wigner函数均出现负值.这说明湮没算符三次幂本征态都是具有非经典特性的量子态. |
| 关键词: 湮没算符 本征态 二阶相干度 反聚束效应 Wigner函数 非经典特性 |
| DOI： |
| 投稿时间：2009-12-07 |
| 基金项目:国家自然科学基金项目(10874142)资助。 |
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| Non-classical Properties of the Eigenstates of Annihilation Operator a3 |
|
LAN Hai-jiang1,2
|
| (1.Department of Physics and Information Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China;2.Quantum Optoelectronics Laboratory, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China) |
| Abstract: |
| By using the expression of second-order coherence degree and Wigner function in Fock presentation, the second-order coherence degrees and the Wigner functions of the eigenstates of annihilation operator a3 were calculated.Based on the anti-bunching effect and the distributions of Wigner functions, the non-classical properties of these eigenstates were analyzed.The numerical results show that these eigenstates produce anti-bunching effect, and their relevant Wigner functions can be negative in phase spaces, which indicates that the eigenstates of annihilation operator a3 are non-classical states. |
| Key words: annihilation operator eigenstate second-order coherence degree anti-bunching effect Wigner function non-classical property |
