Two interacting atoms in a cavity: exact solutions, entanglement and decoherence

Juan Mauricio Torres, Emerson Sadurní, T. H. Seligman · Journal of Physics A Mathematical and Theoretical · 2010

We address the problem of two interacting atoms of different species inside a cavity and find the explicit solutions of the corresponding eigenvalues and eigenfunctions using a new variant. This model encompasses various commonly used models. By way of example we obtain closed expressions for concurrence and purity as a function of time for the case where the cavity is prepared in a number state. We discuss the behaviour of these quantities and their relative behaviour in the concurrence–purity plane.

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