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Acta Physica Sinica (Overseas Edition), 1996, Vol. 5(10): 764-768    DOI: 10.1088/1004-423X/5/10/006
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SUPERPOSITION OF COHERENT STATES IN KERR MEDIUM

WU JIN-WEI (吴锦伟), GUO GUANG-CAN (郭光灿)
Department of Physics, University of Science and Technology of China, Hefei 230028, China
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.
Received:  15 September 1995      Accepted manuscript online: 
PACS:  42.50.Ar  
  42.65.Hw (Phase conjugation; photorefractive and Kerr effects)  
Fund: Project supported by the National Natural Science Foundation of China.

Cite this article: 

WU JIN-WEI (吴锦伟), GUO GUANG-CAN (郭光灿) SUPERPOSITION OF COHERENT STATES IN KERR MEDIUM 1996 Acta Physica Sinica (Overseas Edition) 5 764

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