ABSTRACT

In a quantum physics scenario, atoms whose quanta are fermions

interact with force fields whose quanta are bosons. From this

perspective, the interaction of a fermion with a boson is one of

the fundamental systems in quantum physics. The interaction of

a single mode of the electromagnetic (EM) field with a single

two-level atom in the absence of any dissipation process, such as

spontaneous emission, and any input or output from the cavity is the

simplest example of interaction between fermions and bosons. This

elementary model is an example of reversible system in which an

initial energy is continuously and periodically exchanged between

the atom and the cavity field. Mathematically, only two states are

involvedmaking theHamiltonian of the system simple to diagonalize

analytically.