中国物理B ›› 2012, Vol. 21 ›› Issue (7): 74201-074201.doi: 10.1088/1674-1056/21/7/074201

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Demonstrating additional law of relativistic velocities based on squeezed light

杨大宝a b, 李艳a, 张福林c, 陈景灵a b   

  1. 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
  • 收稿日期:2011-11-03 修回日期:2012-02-21 出版日期:2012-06-01 发布日期:2012-06-01
  • 基金资助:
    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).

Demonstrating additional law of relativistic velocities based on squeezed light

Yang Da-Bao(杨大宝)a)b), Li Yan(李艳)a), Zhang Fu-Lin(张福林)c)†, and Chen Jing-Ling(陈景灵)a)b)‡   

  1. 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
  • Received:2011-11-03 Revised:2012-02-21 Online:2012-06-01 Published:2012-06-01
  • Contact: Zhang Fu-Lin, Chen Jing-Ling E-mail:zhang@tju.edu.cn;chenjl@nankai.edu.cn
  • Supported by:
    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).

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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.

关键词: squeezed states, special relativity, quantum optics, Lie groups

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.

Key words: squeezed states, special relativity, quantum optics, Lie groups

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
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)