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A cavity with two level atoms: simulations and cellular automata method

We propose to adapt the cellular automata approach as a tool for investigation of quantum optical systems. As an example we propose a model comprising a cavity filled with a one dimensional chain of identical two level atoms. To simulate the probabilistic character of a single atom evolution we use the Monte Carlo algorithm. We assume that the cavity is confined by mirrors of the reflectivity r. This fact allows simulation of the cavity losses. In this communication we shall show the influence of the probabilities of photon absorption by a single atom inside the cavity, on the system dynamics.