Amplitude-Nth-power squeezing of PB phase coherent states

PB Phase Coherent States are very important quantum states in quantum optics. In order to investigate the amplitude- Nth-power squeezing of PB Phase Coherent States, the algebraic properties of the PB phase operator and the PB Phase Coherent States are introduced which are constructed by PB phase theory. The amplitude- Nth-power squeezing theory is applied to define the Amplitude- Nth-Power Squeezing of PB Phase Coherent States and investigate the characteristic of the amplitude- Nth-power squeezing of PB Phase Coherent States. The results were different from the other quantum states. As for | Z> (PB Phase Coherent State), the results show that when Z is a real number there only exists amplitude- Nth-power squeezing of X̂ component; when Z is a complex number, there exists amplitude- Nth-power squeezing of X̂ component and Ŷ component; when Z is a pure imaginary number, if N is odd, then there does not exist amplitude-Nth-power squeezing of X̂ component, but there exists amplitude- Nth-power squeezing of Ŷ component and if N is even, then there exists amplitude- Nth-power squeezing of X̂ component, but there does not exist amplitude-Nth-power squeezing of Ŷ component.