光子学报 ›› 2000, Vol. 29 ›› Issue (10): 876-884.

• 量子光学 • 上一篇    下一篇

多模复共轭虚偶相干态光场的等阶N次方Y压缩与等阶N次方H压缩

陈永庄1, 杨志勇2,3, 许定国1,2, 刘宝盈1, 张继良1, 侯洵2,4   

  1. 1. 商洛师专量子光学与量子信息研究所, 商洛师专物理系, 商州726000;
    2. 西北大学光子学与光子技术研究所, 西北大学光电子技术省级重点开放实验室, 西安710069;
    3. 西北大学现代物理研究所, 西安710069;
    4. 中国科学院西安光学精密机械研究所, 瞬态光学技术国家重点实验室, 西安 710068
  • 收稿日期:2000-02-16 出版日期:2000-10-25 发布日期:2000-10-25
  • 基金资助:
    陕西省自然科学基金;陕西省教委专项科研基金资助项目

THE PROPERTIESOF BOTH GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y-SQUEEZING AND GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER H-SQUEEZING IN A NEW TYPE OF MULTIMODE COMPLEX CONJUGATION IMAGINARY-EVEN COHERENT STATE LIGHT FIELD

Chen Yongzhuang1, Yang Zhiyong2,3, Xu Dingguo1,2, L iu Baoying1, Zhang Jiliang1, Hou Xun2,4   

  1. 1. Institute of Quantum Optics & Quantum Information Science, and Physics Department, Shangluo Normal College, Shangzhou 726000;
    2. Institute of Photon-Technology, and Provincial Key Laboratory of Photoelectronic Technology, Northwest University, Xi’an 710069;
    3. Institute of Modern Physics, Northwest University, Xi’an 710069;
    4. Institute of Photonics & Photon-Technology, and Provincial Key Laboratory of Photoelectronic Technology, Northwest University, Xi’an 710068
  • Received:2000-02-16 Online:2000-10-25 Published:2000-10-25
  • Supported by:
    Supported by the funds of both the natural science of Shaanxi Province and the specialized scientific research of Educational Committee of Shaanxi Province,P.R.China

摘要: 本文利用新近建立的多模压缩态理论,详细研究了一种新型的多模复共轭虚偶相干态光场|Ψi,e*(2)>q的广义非线性等阶N次方Y压缩与等阶N次方H压缩特性.结果发现:1)当压缩阶数N为奇数时,态Ψi,e*(2)>q在一定条件下总可呈现出周期性变化的、任意阶的等阶N次方Y压缩效应;当腔模总数q与压缩阶数N两者之乘积q·N为奇数时,则在一定条件下态|Ψi,e*(2)>q又可呈现出周期性变化的、任意阶的等阶N次方H压缩效应.2)态|Ψi,e*(2)>q与多模偶相干态光场|Ψi,e*(2)>q与多模虚偶相干态光场|Ψi,e(2)>q的压缩幅度、压缩条件和压缩特征等完全相同.这一结果再次从理论上证实了多模压缩光中的确存在着“相反压缩”和“压缩简并”这两类新的物理现象.

关键词: 多模复共轭虚偶相干态, 等阶N次方Y压缩, 等阶N次方H压缩, 等阶N-Y最小测不准态, 等阶N-H最小测不准态, 相反压缩, 压缩简并

Abstract: In this paper,the properties of both generalized nonlinear equal-order N-th power Y-squeezing and generalized nonlinear equal-order N-th power H-squeezing in a new type of multimode complex conjugation imaginary-even coherentstate lightfield|Ψi,e*(2)>qare sudied in detail,by utilizing the theory of multimode squeezed state constructed by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica recently.Itis found that 1).If the squeezed order number N is an odd number,the state|Ψi,e*(2)>qmentioned above can always presentany ordergeneralized nonlinearequal-order N-th power Y-squeezing that changes periodically under some certain conditions;and if q ·N,the products of cavity-mode number q and the squeezed order number N,is an odd number,the state |Ψi,e*(2)>q mentioned can also display any ordergeneralized nonlinearequal-order N-th power H-squeezing thatchanges periodically too.2) The squeezing conditions and the squeezing featuresof both equal-order N-th power Y-squeezing and equal-order N-th power H-squeezing of the multimode complex conjugation imaginary-even coherent state|Ψi,e*(2)>q are just contrary to that of the multimode even-coherentstate|Ψe>q,and to thatof the multimode complex-conjugation even-coherentstate |Ψi,e*(2)>q,butjustthe same as thatof the multimode imaginary-even coherentstate|Ψi,e(2)>q.So the two kinds of new physical phenomena,the so-called“contrary squeezing”and“degenerat squeezing”,are further improved by the results mentioned above in this paper.

Key words: Multimode complex conjugation-even coherent state, Equal-order N-th power Y-squeez-ing, Equal-order N-th power H-squeezing, Equal-order N-Y minimum uncertainty state, Equal-order N-H minimum uncertainty state, “Contrary squeezing”, “Degenerate