dorsal/arxiv
View SchemaQuantum nonlinear dynamics of continuously measured systems
| Authors | A. J. Scott, G. J. Milburn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008108 |
| URL | https://arxiv.org/abs/quant-ph/0008108 |
| DOI | 10.1103/PhysRevA.63.042101 |
| Journal | Phys. Rev. A 63, 042101 (2001) |
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.
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"abstract": "Classical dynamics is formulated as a Hamiltonian flow on phase space, while\nquantum mechanics is formulated as a unitary dynamics in Hilbert space. These\ndifferent formulations have made it difficult to directly compare quantum and\nclassical nonlinear dynamics. Previous solutions have focussed on computing\nquantities associated with a statistical ensemble such as variance or entropy.\nHowever a more direct comparison would compare classical predictions to the\nquantum for continuous simultaneous measurement of position and momentum of a\nsingle system. In this paper we give a theory of such measurement and show that\nchaotic behaviour in classical systems can be reproduced by continuously\nmeasured quantum systems.",
"arxiv_id": "quant-ph/0008108",
"authors": [
"A. J. Scott",
"G. J. Milburn"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.63.042101",
"journal_ref": "Phys. Rev. A 63, 042101 (2001)",
"title": "Quantum nonlinear dynamics of continuously measured systems",
"url": "https://arxiv.org/abs/quant-ph/0008108"
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