Based on the neat<η|representation of two-mode squeezing operator which entangles signal-mode and idle-mode,where<η|is the common eigenvector of two particles'relative position and the total momentum exhib...Based on the neat<η|representation of two-mode squeezing operator which entangles signal-mode and idle-mode,where<η|is the common eigenvector of two particles'relative position and the total momentum exhibiting 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 states is derived and the new entanglement is analysed.展开更多
The explicit form of the common eigenstates|τ〉of the mass-weighted relative coordinateμ2Q1-μ1Q2 and the mass-combinatorid momentumμ1P1+μ2P2 of two particles is given.On the basis of|τ〉and their conjugate stat...The explicit form of the common eigenstates|τ〉of the mass-weighted relative coordinateμ2Q1-μ1Q2 and the mass-combinatorid momentumμ1P1+μ2P2 of two particles is given.On the basis of|τ〉and their conjugate states|ξ〉,we find that there exist new differential completeness relations(DCR).The applications of the new DCR in deriving the normally ordered two-mode squeezing operators for the mass-related coordinates and momenta are demonstrated.Throughout the discussion the technique of differentiation within an ordered product of operators is fully employed.展开更多
The squeezing operator S^(n) and the corresponding squeezed state|0>s for n-mode quadrature operators are founded.The normally ordered form of S^(n) is derived by means of the technique of integration within an ord...The squeezing operator S^(n) and the corresponding squeezed state|0>s for n-mode quadrature operators are founded.The normally ordered form of S^(n) is derived by means of the technique of integration within an ordered product of operators.Moreover,the existence of higher-order squeezing for n-mode quadratures in the state|0>s is demonstrated.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.19875046the President Foundation of Chinese Academy of Sciences,the National High Performance Computing Foundation of China.
文摘Based on the neat<η|representation of two-mode squeezing operator which entangles signal-mode and idle-mode,where<η|is the common eigenvector of two particles'relative position and the total momentum exhibiting 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 states is derived and the new entanglement is analysed.
基金the National Natural Science Foundation of China under Grant No.19875046。
文摘The explicit form of the common eigenstates|τ〉of the mass-weighted relative coordinateμ2Q1-μ1Q2 and the mass-combinatorid momentumμ1P1+μ2P2 of two particles is given.On the basis of|τ〉and their conjugate states|ξ〉,we find that there exist new differential completeness relations(DCR).The applications of the new DCR in deriving the normally ordered two-mode squeezing operators for the mass-related coordinates and momenta are demonstrated.Throughout the discussion the technique of differentiation within an ordered product of operators is fully employed.
基金Supported by the National Natural Science Foundation of Ghina under Grant No.19875046.
文摘The squeezing operator S^(n) and the corresponding squeezed state|0>s for n-mode quadrature operators are founded.The normally ordered form of S^(n) is derived by means of the technique of integration within an ordered product of operators.Moreover,the existence of higher-order squeezing for n-mode quadratures in the state|0>s is demonstrated.