QRepresentation of Number States
QRepresentation of Number States
Quasiprobability densities represent the density operator of optical fields. Here the special quasiprobability densities are plotted as functions of and for the first eleven photon numbers . The complex variable is an eigenvalue of the nonHermitian annihilation operator . The number state of the field is an energy eigenstate of the same field also. This means that in these plots the optical fields can be characterized by exactly photons.
ρ
Q(α,,n)=expαα(πn!)
*
α
2

2n

Reα
Imα
n=0,1,…,10
α
a
n>
n