Quantum chaos induced by measurements
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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.
9 pages, 1 figure. To appear in the Proceedings of the Symposium on "Mathematical Aspects of Quantum Information and Quantum Chaos," Kyoto, Japan, 1999
9 pages, 1 figure. To appear in the Proceedings of the Symposium on "Mathematical Aspects of Quantum Information and Quantum Chaos," Kyoto, Japan, 1999