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中国物理学会期刊

多光子激发相干态的Wigner函数

CSTR: 32037.14.aps.58.8281

Wigner functions of multiple-photon excited coherent states

CSTR: 32037.14.aps.58.8281
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  • Wigner函数的负性是非经典量子态的重要判据之一.利用Fock态表象下Wigner函数的一般表达式,重构了相干态|z〉的k光子激发态|+k,z〉~a-k|z〉(k≥1)的Wigner函数,并根据其数值结果讨论了该量子态的非经典特性(这里a-1为Bose湮没算符的逆算符,其作用相当于Bose产生算符).结果表明,不论k取奇数还是偶数,相干态的这些k光子激发态都具有非经典特性;而且k的取值越大,这些量子态的非经典特性越明显.

     

    Wigner functions in phase space are reconstructed for the excited coherent states,which are generated by applying the inverse of k-Boson operators repeatedly to the coherent states. The non-classicality of these states is discussed by calculating their Wigner functions in Fock-state space. Numerical results show that these excited coherent states always reveal non-classical characteristics,no matter whether the excited number k is even or odd,and also the corresponding non-classicality is more obvious with the number k increasing.

     

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