Engineered two-Mode squeezed vacuum states via beam-Splitter transformation

Abstract

We introduce a novel two-parameter squeezing operator by combining a beam splitter transformation with a coupled two-mode harmonic oscillator Hamiltonian. Applying this operator to the two-mode vacuum state generates a generalized two-mode squeezed vacuum state with squeezing strength and the parameter of the beam splitter. Theoretical analysis reveals this state bridges conventional two-mode squeezing and single-mode squeezed state products, exhibiting θ‑tunable quantum properties. Our research has found that the new quantum state has the following properties: the enhanced quadrature squeezing, sum squeezing in weak-squeezing regimes, super-Poissonian photon statistics, and entanglement.