Merlijn van Horssen, Madalin Guta
Large deviations is a framework for rigorously studying the probabilities of rare events in terms of a rate function. We study the atom maser model in the context of large deviations, following the work done by Garrahan, Armour and Lesanovsky which relates this rate function to the occurrence of quantum dynamical phase transitions. We show that a large deviations principle holds for the associated classical counting process. This is done by deforming the Lindblad generator for the cavity dynamics and analysing the spectral properties of the associated deformed quantum dynamical semigroup. In particular, the large deviations rate function is given by the spectral bound of the generator. We use the rate function to discuss metastable behaviour of the stationary distribution of the counting process and its connection to quantum dynamical phase transitions.
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http://arxiv.org/abs/1206.4956
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