中国物理B ›› 1996, Vol. 5 ›› Issue (10): 764-768.doi: 10.1088/1004-423X/5/10/006

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SUPERPOSITION OF COHERENT STATES IN KERR MEDIUM

吴锦伟, 郭光灿   

  1. Department of Physics, University of Science and Technology of China, Hefei 230028, China
  • 收稿日期:1995-09-15 出版日期:1996-10-20 发布日期:1996-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

SUPERPOSITION OF COHERENT STATES IN KERR MEDIUM

WU JIN-WEI (吴锦伟), GUO GUANG-CAN (郭光灿)   

  1. Department of Physics, University of Science and Technology of China, Hefei 230028, China
  • Received:1995-09-15 Online:1996-10-20 Published:1996-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： The evolution of the input coherent state in the Kerr medium is studied. Upon the derivation we know that the output state at time t which corresponds to a rational number is Schr?dinger's cat state. Using Fourier integral of the evolution operator, we obtain the integral expression of the output state at time t which corresponds to an irrational number. It is a kind of one-dimensional continuous superposition of coherent states, not an ordinary Schr?dinger's cat state.

Abstract: The evolution of the input coherent state in the Kerr medium is studied. Upon the derivation we know that the output state at time t which corresponds to a rational number is Schr$\ddot{\rm o}$dinger's cat state. Using Fourier integral of the evolution operator, we obtain the integral expression of the output state at time t which corresponds to an irrational number. It is a kind of one-dimensional continuous superposition of coherent states, not an ordinary Schr$\ddot{\rm o}$dinger's cat state.

中图分类号: 

  • 42.50.Ar
42.65.Hw (Phase conjugation; photorefractive and Kerr effects)