多模奇相干态光场中的N-Y最小测不准态与N-H最小测不准态

本文根据新近建立的多模辐射场的广义非线性等阶高阶压缩理论,对多模奇相干态光场|Ψ,o〉_q中的N次方Y压缩、N次方H压缩、N-Y最小测不准态以及N-H最小测不准态等进行了详细研究.结果表明:1)当压缩阶数N为偶数时,多模奇相干态|Ψ,o〉_q总是恒处于N-Y最小测不准态;当N为奇数时,态|Ψ,o〉_q既不处于N-Y最小测不准态,也不呈现N次方Y压缩效应.2)当q & #183;N为偶数时,多模奇相干态|Ψ,o〉_q总是恒处于N-H最小测不准态;当q & #183;N为奇数时,态|Ψ,o〉_q既不处于N-H最小测不准态,也不呈现N次方H压缩效应.3)多模奇相干态|Ψ,o〉_q恒处于N-Y最小测不准态与恒处于N-H最小测不准态的条件明显不同,两者存在着严格的区别.

ON N-Y MINIMUM UNCERTAINTY STATE AND N-H MINIMUM UNCERTAINTY STATE IN MULTI-MODE ODD-COHERENT STATE LIGHT FIELD

In this paper,N-th power Y-squeezing,N-th power H-squeezing,N-Y minimum uncertainty state,N-H minimum uncertainty state in the multi-mode odd-coherent state light field |Ψ,o〉_q are studied in detail,that is based on using the generalized nonlinear equal-order higher-order squeezing theory of multi-mode radiative light field,which is established by Yang Zhiyong and Hou Xun recently in references 1～3.The result shows that,1),When N,the number of squeezing order,is an even number,the state |Ψ,o〉_q is always stayed in N-Y minimum uncertainty state;and when N is an odd number,the state |Ψ,o〉_q is neither stayed in N-Y minimum uncertainty state nor stayed in the squeezed state of N-th power Y-squeezing;2)When q & #183;N,the products of cavity modes number and squeezing order number,is an even number,the state |Ψ,o〉_q is always stayed in N-H minimum uncertainty state,when q & #183;N is an odd number,the state |Ψ,o〉_q is neither stayed in N-H minimum uncertainty state nor stayed in the squeezing state of N-th power H-squeezing too and 3),There exist the strict and important differences between N-Y minimum uncertainty state and N-H minimum uncertainty state of multi-mode odd-coherent state |Ψ,o〉_q in the conditions of their occuring.