On the paradoxical evolution of the number of photons in a new model of interpolating Hamiltonians

Abstract

We introduce a new Hamiltonian model which interpolates between the Jaynes-Cummings model and other types of such Hamiltonians. It works with two interpolating parameters, rather than one as traditional. Taking advantage of this greater degree of freedom, we can perform continuous interpolation between the various types of these Hamiltonians. As applications we discuss a paradox raised in literature and compare the time evolution of photon statistics obtained in the various interpolating models. The role played by the average excitation in these comparisons is also highlighted.

Multiphoton processes via conditional measurements in the two-field interaction

“…Luis [8] called such gain of photons a paradoxical phenomenon and showed that a measurement leading to absorption of light produced an increase in the number of photons. Recently, Valverde and Baseia [9] studied the generation of nonclassical states [10] by such paradoxical processes in models of interpolating Hamiltonians, in particular by using nonlinear Jaynes-Cummings interactions. Anaya-Contreras et al [11] have shown that it is possible to deposit several photons in the cavity by passing an atom through it and measuring its state as it exits the cavity.…”

Multiphoton processes via conditional measurements in the two-field interaction

“…Valverde and Baseia [9] studied the generation of nonclassical states [10] by such paradoxical processes in models of interpolating Hamiltonians, in particular by using nonlinear Jaynes-Cummings interactions. Anaya-Contreras et al [11] have shown that it is possible to deposit several photons in the cavity by passing an atom through it and measuring its state as it exits the cavity.…”

Statistical Properties of a System Consisting of a Superconducting Qubit Coupled to an Optical Field Inside a Transmission Line

“…Another such interpolation was considered recently. [42] In the present CPB-CQED configuration Fig. 1 we investigate the evolution of the CPB excitation inversion and statistical properties of both subsystems.…”