Squeezed and coherent states of fractional photons
Jacob Katriel, Mario Rasetti, Allan I. Solomon · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1987
We define k'-photon uncertainties \ensuremath{\Delta}${X}_{(k\mathcal{'})}$,\ensuremath{\Delta}${P}_{(k\mathcal{'})}$ in k-photon states, and show that all such calculations can be correlated using a fractional photon index r\ensuremath{\equiv}k'/k. We exemplify by choosing as k-photon states the coherent states of the k-photon generalized harmonic oscillator, and also the group-theoretic coherent states corresponding to Holstein-Primakoff realizations of SU(2) and SU(1,1). We compute the squeezing obtained in these cases, and show that they have a common limit.