File:QuantumNoiseNonlinearMaping(Kuznetsov)Fig2.jpg

Transformaiton of the uncertainty at the mapping of the phase space. At the input of the amplifier, there is the coherent sate with parameters ${\displaystyle ~\alpha =1~}$. It is transformed during the evolution with Hamiltonian ${\displaystyle {\frac {-{\rm {i}}}{2}}\left(a^{2}b^{\dagger }-(a^{\dagger })^{2}b\right)~}$. The initial state of pump mode with field ${\displaystyle ~b~}$is also coherent with parameter ${\displaystyle \beta =2}$. Duration of evolution: ${\displaystyle ~t=0~}$, ${\displaystyle ~t=0.3~}$,

${\displaystyle ~t=0.5~}$