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Chin. Phys. B, 2012, Vol. 21(7): 074201    DOI: 10.1088/1674-1056/21/7/074201

Demonstrating additional law of relativistic velocities based on squeezed light

Yang Da-Baoa b, Li Yana, Zhang Fu-Linc, Chen Jing-Linga b
a 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
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      Published:  01 June 2012
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:;

Cite this article: 

Yang Da-Bao, Li Yan, Zhang Fu-Lin, Chen Jing-Ling Demonstrating additional law of relativistic velocities based on squeezed light 2012 Chin. Phys. B 21 074201

[1] Yu Z Q, Xie Q and Xiao Q Q 2010 Acta Phys. Sin. 59 925 (in Chinese)
[2] Han D, Hardekopf E F and Kim Y S 1989 Phys. Rev. A 39 1269
[3] Han D, Kim Y S and Marilyn E N 1988 Phys. Rev. A 37 807
[4] Fox A M 2006 Quantum Optics: an Introduction (New York: Oxford University Press)
[5] Walls D F 1983 Nature 306 141
[6] Kwek L C and Kiang D 2003 J. Opt. B: Quantum Semiclass. Opt. 5 383
[7] Yang D B, Chen Y, Zhang F L and Chen J L 2011 J. Phys. B: At. Mol. Opt. Phys. 44 075502
[8] Song J, Fan H Y and Zhou J 2011 Acta Phys. Sin. 60 110302 (in Chinese)
[9] Jiang N Q, Fan H Y, Xi L S, Tang L Y and Yuan X Z 2011 Acta Phys. Sin. 60 120302 (in Chinese)
[10] Perelomov A 1986 Generalized Coherent States and Their Applications (Berlin: Springer-Verlag)
[11] Ungar A A 2001 Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession (Dordrecht: Kluwer)
[12] Gerry C C 1985 Phys. Rev. A 31 2721
[13] Mukunda N, Aravind P K and Simon R 2003 J. Phys. A: Math. Gen. 36 2347
[14] Reid M D and Drummond P D 1998 Phys. Rev. Lett. 60 2731
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