Demonstrating an additional law of relativistic velocities based on squeezed light  

作　　者：杨大宝 李艳 张福林 陈景灵 

机构地区：[1]Theoretical Physics Division,Chern Institute of Mathematics,Nankai University [2]Centre for Quantum Technologies,National University of Singapore,3 Science Drive 2,Singapore 117543 [3]Physics Department,School of Science,Tianjin University

出　　处：《Chinese Physics B》2012年第7期285-290,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11105097, 10975075 and 11175089);the National Basic Research Program of China (Grant No. 2012CB921900);the National Research Foundation and Ministry of Education, Singapore (Grant No. WBS: R-710-000-008-271)

摘　　要：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.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.

关 键 词：squeezed states special relativity quantum optics Lie groups 

分 类 号：O431.2[机械工程—光学工程]