Demonstrating additional law of relativistic velocities based on squeezed light

doi:10.1088/1674-1056/21/7/074201

Abstract 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.

Keywords: squeezed states special relativity quantum optics Lie groups

Received: 03 November 2011
Revised: 21 February 2012
Accepted manuscript online:

PACS:	42.50.Dv	(Quantum state engineering and measurements)
	03.30.+p	(Special relativity)
	42.50.Gy	(Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)
	02.20.Tw	(Infinite-dimensional Lie groups)

Fund: 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), and the National Research Foundation and Ministry of Education, Singapore (Grant No. WBS: R-710-000-008-271).

Corresponding Authors: Zhang Fu-Lin, Chen Jing-Ling
E-mail: zhang@tju.edu.cn;chenjl@nankai.edu.cn

Cite this article:

Yang Da-Bao(杨大宝), Li Yan(李艳), Zhang Fu-Lin(张福林), and Chen Jing-Ling(陈景灵) Demonstrating additional law of relativistic velocities based on squeezed light 2012 Chin. Phys. B 21 074201

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