多光子激发相干态的Wigner函数
Wigner functions of multiple-photon excited coherent states
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摘要: 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.Abstract: 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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