Entangled Husimi operator as a pure state density matrix of two-mode squeezed coherent state

Abstract

We introduce the entangled Husimi operator Δ h ( σ , γ , κ ) which is endowed with definite physical meaning, and find that there corresponds a special two-mode squeezed coherent state | σ , γ 〉 κ representation such that Δ h ( σ , γ , κ ) = | σ , γ 〉 κ 〈 κ σ , γ | , a pure state density matrix! The Weyl ordered form and the normally ordered form of Δ h ( q , p , κ ) are derived that provides us with an operator version to examine various properties of the entangled Husimi distribution, which is concise and neat.