dorsal/arxiv
View SchemaDynamics of quantum trajectories in chaotic systems
| Authors | D. A. Wisniacki, F. Borondo, R. M. Benito |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309083 |
| URL | https://arxiv.org/abs/quant-ph/0309083 |
| DOI | 10.1209/epl/i2003-00231-y |
| Journal | Europhysics Letters 64, 441 (2003) |
Abstract
Quantum trajectories defined in the de Broglie--Bohm theory provide a causal way to interpret physical phenomena. In this Letter, we use this formalism to analyze the short time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play a very important role. We find that the topologies of the quantum orbits are much more complicated than that of the scarring and associated periodic orbits, since the former have quantum interference built in. Thus scar wave functions are necessary to analyze the corresponding dynamics. Moreover, these topologies imply different return routes to the vicinity of the initial positions, and this reflects in the existence of different contributions in each peak of the survival probability function.
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"abstract": "Quantum trajectories defined in the de Broglie--Bohm theory provide a causal\nway to interpret physical phenomena. In this Letter, we use this formalism to\nanalyze the short time dynamics induced by unstable periodic orbits in a\nclassically chaotic system, a situation in which scars are known to play a very\nimportant role. We find that the topologies of the quantum orbits are much more\ncomplicated than that of the scarring and associated periodic orbits, since the\nformer have quantum interference built in. Thus scar wave functions are\nnecessary to analyze the corresponding dynamics. Moreover, these topologies\nimply different return routes to the vicinity of the initial positions, and\nthis reflects in the existence of different contributions in each peak of the\nsurvival probability function.",
"arxiv_id": "quant-ph/0309083",
"authors": [
"D. A. Wisniacki",
"F. Borondo",
"R. M. Benito"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1209/epl/i2003-00231-y",
"journal_ref": "Europhysics Letters 64, 441 (2003)",
"title": "Dynamics of quantum trajectories in chaotic systems",
"url": "https://arxiv.org/abs/quant-ph/0309083"
},
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