第Ⅰ类两态叠加多模叠加态光场的非线性高阶压缩特性研究

本文在文献20的基础上进一步提出了多模辐射场的N-Y最小测不准态、N-H最小测不准态、N-Y压缩最小测不准态以及N-H压缩最小测不准态等的定义.构造了由多模(q模)相干态|{Z_j}>_q及其相反态|{-Z_j}>_q的线性叠加所组成的第Ⅰ类两态叠加多模叠加态光场|ψ₁⁽²⁾>_q,利用文献20新近提出的有关多模辐射场的两种非线性高阶压缩的定义,首次对态|ψ₁⁽²⁾>_q的N次方Y压缩及N次方H压缩效应进行了详细研究.结果表明,1)当N为偶数时,态|ψ₁⁽²⁾>_q恒处于N-Y最小测不准态;当N为奇数时,态|ψ₁⁽²⁾>_q在一定条件下可呈现出周期性变化的、任意阶的N次方Y压缩效应.2)当q·N为偶数时,态|ψ₁⁽²⁾>_q恒处于N-H最小测不准态;当q·N为奇数时,在另外的条件下,态|ψ₁⁽²⁾>_q则可呈现出周期性变化的、任意阶的N次方H压缩效应.3)N次方Y压缩及N次方H压缩效应的压缩深度与腔模总数q、压缩参数R_j以及压缩阶数N等非线性相关,后者与上述参量的非线性关联程度要比前者的更强.

PROPERTIES OF NONLINEAR HIGHER-ORDER SQUEEZING EFFECTS IN A NEW TYPE OF MULTI-MODE LIGHT FIELD STATE OF SUPERPOSITION STATE WITH DISTINGUISHABLE TWO QUANTUM STATES IN THE KIND(Ⅰ)

In this paper,a series of new definitions,such as N-Y minimum uncertainty state,N-H minimun uncertainty state,N-Y squeezed minimum uncertainty state and N-H squeezed minimum uncertainty state of multi-mode radiative light field is further suggested by Hou Xun and Yang Zhiyong firstly,that is based upon the definition of both N-th power Y-squeezing and N-th power H-squeezing proposed in reference 20 According to the linear superposition principle in quantum mechanics,it is constructecl the multi-mode light field state of superposition state with distinguishable two quantum states in the kind (Ⅰ)U₁⁽²⁾>_q which is made of linear superposition of multi-mode coherent state |{Z_j}>_q and its contrary state |{-Z_j}>_q So the two kinds of nonlinear higher-order squeezing effects,both N-the power Y-squeezing and N-th power H-squeezing,of the state |ψ₁⁽²⁾>_q is therefore studied in detail by using the definition of nonlinear higher-order squeezing of multi-mode radiative light field which is proposed recently in reference 20 The result shows that 1),when N,the number of squeezing order,is even mumber,the state |ψ₁⁽²⁾>_q is alway in N-Y minimum uncertainty state;when N is odd number,the state |ψ₁⁽²⁾>_q,under some certain conditions,can present any order N-th power Y-squeezing which changes periodically;2)when q·N,the products of cavity modes number and squeezing order number,is even number,the state |ψ₁⁽²⁾>_q is always in N-H minimum uncertainty state;when q·N is odd number,under some other conditions the state |ψ₁⁽²⁾>_q can also present any order N-th power H-squeezing that changes periodically;and 3)the depth and degree of both N-th power Y-squeezing and N-th power H-squeezing are related nonlinearly to the cavity modes number q,to the squeezed parameter R_j,and to the squeezing order number N;the later is more intensive than the former.