Mixed squeezing for a pair of two-mode squeezed states

Based on the neat < eta\ representation of the two-mode squeezing operator which entangles signal-mode and idlemode, where < eta\ is the common eigenv ector of the relative position of two particles and the total momentum exhi biting a maximal entanglement between the two modes, we study some kind of squeezing mixing 1-3 modes and 2-4 modes for a pair of two-mode (1-2 modes and 3-4 modes) squeezed states. The explicit form of such mixed squeezed st ates is derived and the new entanglement is analysed.