Demonstrating an additional law of relativistic velocities based on squeezed light

The special relativity is the foundation for many branches of modern physics, of which the theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use of the convenient substitute, i.e., the squeezed...

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Published inChinese physics B Vol. 21; no. 7; pp. 285 - 290
Main Author 杨大宝 李艳 张福林 陈景灵
Format Journal Article
LanguageEnglish
Published 01.07.2012
Subjects
Coherence
Foundations
Kinematics
Operators
Quantum optics
Relativistic velocity
Relativity
Transformations
压缩光
旋转角度
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替代品
狭义相对论
现代物理学
相对论速度
量子光学
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ISSN1674-1056
2058-3834
2058-3834
1741-4199
DOI10.1088/1674-1056/21/7/074201

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Summary:The special relativity is the foundation for many branches of modern physics, of which the theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use of the convenient substitute, i.e., the squeezed light in the present paper. The squeezed light is very important in the field of quantum optics, and the corresponding transformation can be regarded as the coherent state of SU（1,1）. In this paper, the connection between the squeezed operator and the Lorentz boost is built under certain conditions. Furthermore, the additional law of relativistic velocities and the angle of the Wigner rotation are deduced as well.
Bibliography:squeezed states, special relativity, quantum optics, Lie groups
The special relativity is the foundation for many branches of modern physics, of which the theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use of the convenient substitute, i.e., the squeezed light in the present paper. The squeezed light is very important in the field of quantum optics, and the corresponding transformation can be regarded as the coherent state of SU（1,1）. In this paper, the connection between the squeezed operator and the Lorentz boost is built under certain conditions. Furthermore, the additional law of relativistic velocities and the angle of the Wigner rotation are deduced as well.
11-5639/O4
Yang Da-Bao, Li Yan, Zhang Fu-Lin, and Chen Jing-Ling（Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China b） Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 c） Physics Department, School of Science, Tianjin University, Tianjin 300072, China
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ISSN:1674-1056
2058-3834
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/7/074201