Quantum nonlinear dynamics of continuously measured systems

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dc.creatorScott, A. J.
dc.creatorMilburn, G. J.
dc.date2000-08-25
dc.date2000-11-16
dc.date.accessioned2026-07-07T06:30:58Z
dc.date.available2026-07-07T06:30:58Z
dc.descriptionClassical 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.
dc.description11 pages, REVTEX, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0008108
dc.identifierhttp://arxiv.org/abs/quant-ph/0008108
dc.identifierPhys. Rev. A 63, 042101 (2001)
dc.identifierdoi:10.1103/PhysRevA.63.042101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98482
dc.subjectQuantum Physics
dc.subjectChaotic Dynamics
dc.titleQuantum nonlinear dynamics of continuously measured systems
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