A new representation for squeezed states

Hong-Yi Fan, Nian-Quan Jiang, Lu Hai-Liang

Nian-Quan Jiang, Fan Hong‐Yi

We show that the Agarwal–Simon representation of single-mode squeezed states can be generalized to find new form of three-mode squeezed states. We use the tripartite entangled state representations | p , y , z 〉 and | x , u , v 〉 to realize this goal.

Julien Becker, N. Debergh, Franciszek Hugon Szafraniec

Fan Huang, Guo Guo

A new formalism of the squeeze operator has been found by integration within normal ordered products. Based on this formalism, the essence of the formation of the squeezed state can be revealed directly and clearly. Various representations and properties of the squeezed state can be derived easily. It has been proved that the squeezed state is a coherent one in the quasiparticle space. The transformation relationship between squeezed states and eigenstates of both coordinate and momentum operators are presented. Also presented is the Wigner distribution function of the squeezed state.

Roman S. Ingarden

Hai-Woong Lee

A representation is introduced in which a state of a radiation field is characterized by a function of a parameter which can be any arbitrary number. This functional representation of a field state offers a convenient means of classifying squeezed states and calculating their variances. Some new squeezed states are found from an analysis based on this representation.