q-玻色湮没算符k次幂本征态的非经典特性

Non-classical Properties for K-th Power Eigen-states of Q-boson Annihilation Operators

利用Fock态表象下的Wigner函数表示式,计算q-玻色湮没算符k次幂本征态的Wigner函数;并依据Wigner函数在相空间的分布规律,讨论这些本征态的非经典特性。结果表明:通过q形变可以把相干态由准经典态变为具有非经典特性的量子态;q-玻色湮没算符的本征态都是具有非经典特性的量子态(其Wigner函数均出现负值)。

Non-classical properties for the eigen-states of k-th power of q-boson annihilation operators were calculated by their representations in Fock spaces.The non-classical properties of these eigen-states were further discussed by numerically discussing their quasiprobability distributions in phase spaces.It is shown that the certain non-classical quantum states could be generated from quasiclassical coherent states by q-deformations;these eigen-states are typically non-classical quantum states,as their relevant Wigner functions reveal negatives for certain parameters.