J4 ›› 2015, Vol. 32 ›› Issue (5): 563-567.

• 量子光学 • 上一篇    下一篇

增光子相干态的小波变换

任刚,杜建明,余海军,范洪义   

  1. 1淮南师范学院物理与电子信息系, 安徽 淮南 232038; 
    2 中国科学技术大学材料科学与工程系, 安徽 合肥 230026
  • 收稿日期:2014-10-22 修回日期:2015-03-31 出版日期:2015-09-28 发布日期:2015-09-28
  • 通讯作者: 任刚( 1972—)山东德州人,副教授,博士,主要从事量子力学和量子光学方面研究工作. E-mail:renfeiyu@mail.ustc.edu.cn
  • 基金资助:

    淮南师范学院博士启动基金(58853);安徽高校省级自然科学研究项目(KJ2014A236)

Wavelet transform ofthe photon-added coherent state

Ren Gang, Du Jian-ming, Yu Hai-jun, Fan Hong-yi   

  1. 1. Department of Physics and Electronic Information Engineering,Huinan Normal University, Huainan 232038, China 
    2. Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • Received:2014-10-22 Revised:2015-03-31 Published:2015-09-28 Online:2015-09-28

摘要:

通过量子力学变换理论,结合有序算符内的积分技术,用于信号分析的小波变换可推广到增光子相干态的非经典量子特性研究中.结果表明,增光子相干态的小波变换谱除具有一般小波变换的特性外, 而且随着增光子数的逐渐增大,其对称性被破坏,不断有新的波峰出现.

关键词: 小波变换, 增光子相干态, 有序算符内积分技术

Abstract:

The wavelet transform for signal analysis is promoted to the study of the non-classical quantum properties of the photon-added coherent state by means of quantum transformation theory and the technique of integration within an ordered product of operators. The result shows that the wavelet -transform spectra of the photon-added coherent states not only exhibits the common behavior ,which are characteristics of the wavelet transformation, but also disappears its symmetry and arises some new crests gradually with the increasing value of the number of added photons.

Key words: wavelet transform, photon-added coherent state, technique of integration within an ordered product