相干态及其性质

文档编号:WLX052  字数:5205,页数:18

摘     要

 1963年，Glauber提出了相干态，他发现了相干态的最小不确定关系。本文分析了相干态的历史背景和性质并且分析了奇偶相干态的测不准性，利用相位理论研究了增光子相干态的位相性质。计算了增光了相干态光场的位相概率分布函数，并进行了分析。利用数值分析方法研究了q和s畸变对双参数形变偶奇qs相干态量子统计特性的影响。通过对增光子相干态的相位性质分析，发现偶奇qs相干态与通常的偶奇相干态有着显著不同的量子统计性质,压缩效应和反聚束效应均可在一定条件下的两种双参数畸变态中出现,偶奇qs相干态与通常偶奇相干态的差异随q值偏离1越大和s的取值越小而越大。
 通过已实现的电磁量子化，采用光产生和湮灭算符，讨论描述光场的相干态函数，由此分析用相干态函数描述光场的非经典性质。

关键词：  光场 相干态 非经典性 不确定关系

Abstract
 In1963,Glauber discovered coherent state.，he found coherent state has minimal uncertainty relation ,in this article, we analysis uncertainty relation of even and odd coherent state. The numerical method is used to study the influences of q and s deformation on the quantum statistical properties of even and odd qs-coherent states. It is shown that non-classical properties of even and odd qs-coherent states are very different from those of the usual even and odd coherent states. It is found that squeezing and effect appear for both even and odd qs-coherent states in some range of the parameters q, s and r. The smaller the q(q<1) and s, the larger the difference between even and odd qs-coherent states and the usual even and odd coherent states. On the basis of already realized electro magnetic field quantization, through the photon gcnerati0n and an operator，this article discusses the coherent state function OS photo—field and accordingly analyzes tile .Feature and feasibility of describing field by coherent state function.
 In this paper, we calculate the uncertain relation of even and odd coherent state and discuss about their non-classical property, especially that of even coherent state．Even coherent state shows squeezing effect at some certain places，but odd coherent state has no this property．By means of P．B phase theory，phase properties of the photon— added coherent states is discussed．And the probability distribution of phase in the photon—added coherent states is calculated. We derive that the Photo—Added coherent states can exhibit phase squeezing.

Keywords： field; coherent state；non-classical property；uncertainty relation

目  录
中文摘要 1
英文摘要 2
目录 3
第一章     绪论  4
1.1  研究动机与目的 4
1.2  研究背景 4
第二章    奇偶相干态的非经典性质 6
2.1   奇偶相干态的测不准关系 6
 2.2  偶相干态的非经典性质 .7
第三章    增光子相干态的相位性质 10
 3.1  增光子相干态的相位压性 10
 3.2  增光子相干态的位相质 11
第四章    光场的相干态描述及质 13
      4.1  光的相干态 13
      4.2  相干态的性质 14
   结论 .15
致谢 16
参考文献 17

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