Dao-ming Lu.New entangled state representation and its characteristics for the three compatible operators[J].Optoelectronics Letters,2013,9(5):397-400
New entangled state representation and its characteristics for the three compatible operators
Author NameAffiliationE-mail
Dao-ming Lu Department of Electronic Engineering, Wuyi University, Wuyishan, 354300, China daominglu79@hotmail.com 
Abstract:
      The eigenvector set of |φ(x, r 1, r 2)〉 with three compatible operators ( $\hat x_1 + \hat x_2 + \hat x_3$ , $\hat p_2 + \hat p_3 - 2\hat p_1$ and $\hat p_3 - \hat p_2$ ) is constructed by virtue of Radon transformation of the Wigner operator and the technique of integration within an ordered product (IWOP) of operators. Its entanglement property is then revealed by deriving its standard Schmidt decomposition. |φ(x, r 1, r 2)〉 makes up a new quantum mechanical representation. A new three-mode squeezing operator is found by using this entangled state representation.
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