Number-phase uncertainty relationship for the nonlinear number-phasesqueezed state

摘要

For an harmonic oscillator with a field intensity related external source we establish the nonlinear number-phase squeezed state, in this state we find that while the number fluctuation increases, the phase fluctuation decreases correspondingly. The number-phase uncertainty relationship is exactly derived. In contrast to the usual coherent state which makes up the minimum number-phase uncertainty relationship, the nonlinear number-phase squeezed state does not reach its minimum uncertainty.