Coordinate-Dependent N-Mode Squeezing Transformations

Nguyen Ba An

Gang Ren, Song Tong-Qiang

We introduce the coordinate-dependent one- and two-mode squeezing transformations and discuss the properties of the corresponding one-and two-mode squeezed states. We show that the coordinate-dependent one-and two-mode squeezing transformations can be constructed by the combination of two transformations, a coordinate-dependent displacement followed by the standard squeezed transformation. Such a decomposition turns a nonlinear problem into a linear one because all the calculations involving the nonlinear one- and two-mode squeezed transformation have been shown to be able to reduce to those only concerning the standard one- and two-mode squeezed states.

Hong-Yi Fan, Liang‐shi Li

Gang Ren, Song Tong-Qiang

We introduce the coordinate-dependent N-mode squeezing transformation and show that it can be constructed by the combination of two unitary transformations, a coordinate-dependent displacement followed by the standard squeezed transformation. The properties of the corresponding N-mode squeezed states are also discussed.

Song Tong-Qiang

We introduce the coordinate-dependent two-mode squeezing transformations and discuss the properties of the corresponding two-mode squeezed states.

Biswajit Dutta, Narasimhaiengar Mukunda