Quantum Properties of Single-Mode Squeezing and Two-Mode Squeezing Repeated Role Two-Mode Vacuum State

One new quantum state called single-mode squeezing and two-mode squeezing repeated role two-mode vacuum state (SMSTMSVT) is constructed by single-mode squeezing operator and two-mode squeezing operator repeated role in two-mode vacuum state. Its squeezing, antibunching effect, violation of Cauchy-Schwartze inequality and entanglement property between two modes are analyzed by the technique of integration with in an ordered product of operators. Unitary transformation of single-mode squeezing and that of two-mode squeezing are utilized in the calculation process. The influences of single-mode squeezing parameter on quantum properties are discussed. The results by numerical calculation show that its squeezing is strengthened with increasing of single-mode squeezing parameter, but its entanglement property and violation of Cauchy-Schwartze inequality are weakened with increasing of single-mode squeezing parameter. On the other hand, its antibunching effect is not influenced by single-mode squeezing parameter, and it always displays bunching effect.