[1]顾樵.辐射场的最大熵原理[J].深圳大学学报理工版,2011,28(No.4(283-376)):283-294.
 GU Qiao,The maximum entropy principle for radiation fields[J].Journal of Shenzhen University Science and Engineering,2011,28(No.4(283-376)):283-294.
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辐射场的最大熵原理()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第28卷
期数:
2011年No.4(283-376)
页码:
283-294
栏目:
光电工程
出版日期:
2011-07-20

文章信息/Info

Title:
The maximum entropy principle for radiation fields
文章编号:
1000-2618(2011)04-0283-12
作者:
顾樵12
1)德国国际量子生物学研究所,Haloch,67454,德国;2)深圳大学电子科学与技术学院, 深圳 518060
Author(s):
GU Qiao1 2
1)International Institute of Quantum Biology, Haßloch 67454, Germany
2)College of Electronic Science and Technology, Shenzhen University, Shenzhen 518060, P.R.China
关键词:
最大熵原理最合理概率分配热力学关系热场热噪声相干态热噪声压缩态量子光学量子信息学生物光子学
Keywords:
maximum entropy principlethe most reasonable probability assignmentthermodynamical relationsthermal fieldcoherent state with thermal noisesqueezed state with thermal noisequantum opticsquantum informaticsbiophotonics
分类号:
O 431.2
文献标志码:
A
摘要:
Jaynes E T的最大熵原理指出如何从随机变量的测量数据推导出最合理概率分布.该原理最直接的应用是给出了所有热力学关系,这是对具有能量作为单一测量值的经典系统进行熵的最大化处理的结果.本研究将最大熵原理推广到量子力学系统,揭示辐射场的量子统计性质.结果显示,随着可测量力学量类别的增加,依次自动引出混沌态、相干态和压缩态等一系列辐射场态.值得关注的是运用该方法,所有辐射场态对热噪声的依赖性可被定量描述.该研究结果有望用于量子光学、量子信息学、生物光子学及相关交叉学科领域.
Abstract:
 The maximum entropy principle discovered by Jaynes E T governs a search of the most reasonable probability assignment of stochastic variable, based on the measured data.One of the simplest applications of this principle lies in that all the thermodynamical relations are derived from the maximizing entropy of the system with energy as a single measured value.The maximum entropy principle is used then for the radiation field as a quantum system.Our results show that with an increase of the number of measurable quantities, the thermal field, the coherent states as well as the squeezed states are automatically introduced in turn;in particular, the dependence of all the properties of these radiation fields on the thermal noise is formulated quantitatively.The fundamental results obtained in this paper are expected to provide a basis for applications of the maximum entropy principle in some fields, such as quantum optics, quantum informatics, biophotonics, and related interdisciplinary science.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2011-04-11
基金项目:德国国际量子生物学研究所专项基金资助项目
作者简介:顾樵 (1947-),男(汉族),陕西省西安市人,德国国际量子生物学研究所首席科学家、深圳大学教授.
E-mail:gu-qiao@gmx.de
更新日期/Last Update: 2011-07-21