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Quantum chaos induced by measurements

P. Facchi·S. Pascazio·A. Scardicchio
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Abstract

We study the dynamics of a "kicked" quantum system undergoing repeated measurements of momentum. A diffusive behavior is obtained for a large class of Hamiltonians, even when the dynamics of the classical counterpart is not chaotic. These results can be interpreted in classical terms by making use of a "randomized" classical map. We compute the transition probability for the action variable and consider the semiclassical limit.

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P. Facchi, S. Pascazio, A. Scardicchio. 1999-06-16. Quantum chaos induced by measurements. https://arxiv.org/abs/quant-ph/9906060

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