Coherent state formalism for the Pegg-Barnett Hermitian phase theory

Barnana Roy, Pinaki Roy

Jiu-Yun Zhu, Le‐Man Kuang

Even and odd phase coherent states associated with the Pegg-Barnett Hermitian phase theory are introduced. Even and odd coherent-state formalism of the Pegg-Barnett phase operator is given in terms of the projection operator in the even and odd coherent-state space. The number-phase uncertainty relation is investigated for these states.

E. Mouhaoui, M. Alaoui, Bouchra Maroufi +1 more

Le‐Man Kuang, Xin Chen

Phase-coherent states associated with the Pegg-Barnett (PB) phase operator formalism are introduced in terms of the algebraic properties of the PB phase theory. The phase-coherent-state representation of the PB phase states and the PB phase operators is obtained. Squeezing properties of these coherent states with respect to the phase quadrature operators are studied. The number-phase squeezing and number-phase uncertainty relations are also investigated in detail for a two-state system. Some new number-phase minimum uncertainty states are found.

R. Tanaś, Adam Miranowicz, Ts. Gantsog

The phase distribution obtained within the Pegg–Barnett Hermitian phase formalism is compared to the phase distributions obtained from the s -parametrized quasiprobability distributions integrated over the "radial" variable for some real states of the field. Exact analytical formulas for the s -parametrized phase distributions of coherent states, squeezed states, and displaced number states are obtained. A general formula relating the s -parametrized phase distributions to the Pegg–Barnett distribution is derived. Numerical examples illustrating the similarities and differences are presented in a graphical form.

Lin Zhang, Guojian Yang, De-Zhong Cao