Journal of Optics B Quantum and Semiclassical Optics

Phase distribution of nonlinear coherent states

Barnana Roy, P Roy

Published Jan 1, 1999• 30 citations

Abstract

Using the Pegg-Barnett formalism we study phase properties of nonlinear coherent states. We compute the Pegg-Barnett phase probability distribution of nonlinear coherent states and compare it with phase distributions associated with the Q function and the Wigner function. Squeezing properties of nonlinear coherent states with respect to the number and the phase operator are also studied.

DOI: 10.1088/1464-4266/1/3/308

Related papers

Phase properties of a new nonlinear coherent state

B Roy, P Roy

We study phase properties of a displacement operator type nonlinear coherent state. In particular we evaluate the Pegg-Barnett phase distribution and compare it with phase distributions associated with the Husimi Q function and the Wigner function. We also examine number-phase squeezing of this state.

arXiv:quant-ph/0002043Journal of Optics B Quantum and Semiclassical OpticsJul 13, 20008 citations

Phase properties of a new nonlinear coherent state

Barnana Roy, P. Roy

We study phase properties of a displacement operator type nonlinear coherentstate. In particular we evaluate the Pegg-Barnett phase distribution andcompare it with phase distributions associated with the Husimi Q function andthe Wigner function. We also study number- phase squeezing of this state.

Feb 15, 200011 citations

Phase Properties of Nonlinear Coherent States

Song Tong-Qiang, Yuejin Zhu

Using the Pegg–Barnett formalism we study the phase probability distributions and the squeezing effects of measured phase operators in the nonlinear coherent states introduced by R.L. de Matos Filho and W. Vogel to describe the center-of mass motion of a trapped ion and the q-coherent states. Moreover, we have obtained the completeness relation of nonlinear coherent states and proved that the q-Fock state introduced in many papers is, in fact, the usual Fock state.

Communications in Theoretical PhysicsNov 15, 20024 citations

Phase-coherent states and their squeezing properties

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.

Physical Review ANov 1, 199419 citations

A class of nonlinear coherent states and some of their properties

A.‐S. F. Obada, Mahmoud Darwish

Nonclassical properties such as the autocorrelation function, quadrature and amplitude-squared squeezing, the phase properties in the Pegg–Barnett formalism, the Husimi–Kano Q function and the Wigner–Moyal ( W ) function of a wider class of nonlinear coherent states, are calculated and discussed in this paper.

Journal of Optics B Quantum and Semiclassical OpticsApr 11, 200313 citations

Partial phase state as a nonlinear coherent state and some of its properties

A.‐S. F. Obada, Mahmoud Darwish

One introduces the phase state as a nonlinear coherent state. Some of its properties, such as the sub-Poissonian statistics, the squeezing effects, the phase properties in the Pegg-Barnett formalism and the quasiprobability function of the nonlinear coherent states, are calculated and discussed in this paper. The results show that the phase states are squeezed.

Journal of Modern OpticsJan 1, 200410 citations