dorsal/arxiv
View SchemaThe Quantum Emergence of Chaos
| Authors | Salman Habib, Kurt Jacobs, Kosuke Shizume |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412159 |
| URL | https://arxiv.org/abs/quant-ph/0412159 |
| DOI | 10.1103/PhysRevLett.96.010403 |
| Journal | Phys. Rev. Lett. 96, 010403 (2006) |
Abstract
The dynamical status of isolated quantum systems, partly due to the linearity of the Schrodinger equation is unclear: Conventional measures fail to detect chaos in such systems. However, when quantum systems are subjected to observation -- as all experimental systems must be -- their dynamics is no longer linear and, in the appropriate limit(s), the evolution of expectation values, conditioned on the observations, closely approaches the behavior of classical trajectories. Here we show, by analyzing a specific example, that microscopic continuously observed quantum systems, even far from any classical limit, can have a positive Lyapunov exponent, and thus be truly chaotic.
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"abstract": "The dynamical status of isolated quantum systems, partly due to the linearity\nof the Schrodinger equation is unclear: Conventional measures fail to detect\nchaos in such systems. However, when quantum systems are subjected to\nobservation -- as all experimental systems must be -- their dynamics is no\nlonger linear and, in the appropriate limit(s), the evolution of expectation\nvalues, conditioned on the observations, closely approaches the behavior of\nclassical trajectories. Here we show, by analyzing a specific example, that\nmicroscopic continuously observed quantum systems, even far from any classical\nlimit, can have a positive Lyapunov exponent, and thus be truly chaotic.",
"arxiv_id": "quant-ph/0412159",
"authors": [
"Salman Habib",
"Kurt Jacobs",
"Kosuke Shizume"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.96.010403",
"journal_ref": "Phys. Rev. Lett. 96, 010403 (2006)",
"title": "The Quantum Emergence of Chaos",
"url": "https://arxiv.org/abs/quant-ph/0412159"
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