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Title
Japanese: 
English:Optimal probe wave function of weak-value amplification 
Author
Japanese: 須佐 友紀, 鹿野 豊, 細谷 曉夫.  
English: Yuki Susa, Yutaka Shikano, Akio Hosoya.  
Language English 
Journal/Book name
Japanese: 
English:Physical Review A 
Volume, Number, Page Volume 85       
Published date May 11, 2012 
Publisher
Japanese: 
English:American Physical Society 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
English: 
Official URL http://pra.aps.org/abstract/PRA/v85/i5/e052110
 
DOI https://doi.org/10.1103/PhysRevA.85.052110
Abstract The weak measurement proposed by Aharonov and his colleagues extracts information of a physical quantity of the system by the post selection as the shifts of the argument of the probe wavefunction. The shift is called the weak value and is larger for the post-selected state more orthogonal to the initial state. Recently, the signal amplification by the weak measurement has been extensively studied. In the present work, we explicitly obtain the optimal probe wavefunction and the amplification factor for a given weak value, which is calculated from the experimental setup. It is shown that the amplification factor has no upper bound in contrast to the Gaussian probe wavefunction and that the amplified signal is sharp.

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