Coherent phase states in the coordinate and Wigner representations

Abstract

We study numerically the coordinate wave functions and the Wigner functions of the coherent phase states (CPS), paying the main attention to their differences from the standard (Klauder--Glauber--Sudarshan) coherent states, especially in the case of high mean values of the number operator. In this case, the CPS can possess a strong coordinate (or momentum) squeezing, which is, roughly, twice weaker than for the vacuum squeezed states. The Robertson--Schrödinger invariant uncertainty product in the CPS logarithmically increases with the mean value of the number operator (whereas it is constant for the standard coherent states). Some measures of (non)Gaussianity of CPS are considered.

arXiv comment14 pages, 8 figures, 88 references

References in corpus (14)

• f-Oscillators and Nonlinear Coherent States
• A measure of the non-Gaussian character of a quantum state
• Quantum Phase and Quantum Phase Operators: Some Physics and Some History
• Creating quanta with "annihilation" operator
• Quantization of the Optical Phase Space S^2 = {phi mod 2pi, I > 0} in Terms of the Group SO(1,2)
• Photon states associated with Holstein-Primakoff realization of SU(1,1) Lie algebra
• A consistent quantum model for continuous photodetection processes
• Factorisation of analytic representations in the unit disk and number-phase statistics of a quantum harmonic oscillator
• Inclusion of non-idealities in the continuous photodetection model
• Generation of phase-coherent states
• On the deformed oscillator and the deformed derivative associated with the Tsallis q-exponential
• Regular phase operator and SU(1,1) coherent states of the harmonic oscillator
• Phase coherent states with circular Jacobi polynomials for the pseudoharmonic oscillator
• Quantum phase properties of nonlinear optical phenomena