Quantum nonlinear dynamics of continuously measured systems
arXiv:quant-ph/0008108 · doi:10.1103/PhysRevA.63.042101
Abstract
Classical dynamics is formulated as a Hamiltonian flow on phase space, while quantum mechanics is formulated as a unitary dynamics in Hilbert space. These different formulations have made it difficult to directly compare quantum and classical nonlinear dynamics. Previous solutions have focussed on computing quantities associated with a statistical ensemble such as variance or entropy. However a more direct comparison would compare classical predictions to the quantum for continuous simultaneous measurement of position and momentum of a single system. In this paper we give a theory of such measurement and show that chaotic behaviour in classical systems can be reproduced by continuously measured quantum systems.
11 pages, REVTEX, 3 figures
References in corpus (5)
Cited by in corpus (40)
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