Abstract
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The spontaneous interaction (emission or absorption) of a photon by atom is theoretically described in two-dimensional by a state vector |ψ?. As an initial solution to the problem, we derive its corresponding coherent state. We analytically find the fidelity between photon-atom eigenstate and its coherent state. We introduce the state of a photon-subtraction, photon-addition and we compute the fidelity of a superposition of pair charge coherent states with the state of photon added-subtracted. We show that the quantum teleportation by creating or annihilating an excitement in the coherent states enhances enormously fidelity, also we schow that by increasing the photon quantity, the coherent state becomes less similar to the eignenstate. This means is reversed by increasing time; the system evolves towards an improved correspondence between the initial superposition coherent state and the state after photon addition-subtraction.
Keywords: Photon-Atom System, Fidelity, Coherent State, Superposition Pair Charge Coherent States, Addition-Subtraction Photon State.
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