dorsal/arxiv
View SchemaSemiclassical propagator of the Wigner function
| Authors | Thomas Dittrich, Luis Sandoval, Carlos Viviescas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508057 |
| URL | https://arxiv.org/abs/quant-ph/0508057 |
| DOI | 10.1103/PhysRevLett.96.070403 |
| Journal | Phys. Rev. Lett. 96, 070403 (2006) |
Abstract
Propagation of the Wigner function is studied on two levels of semiclassical propagation, one based on the van-Vleck propagator, the other on phase-space path integration. Leading quantum corrections to the classical Liouville propagator take the form of a time-dependent quantum spot. Its oscillatory structure depends on whether the underlying classical flow is elliptic or hyperbolic. It can be interpreted as the result of interference of a \emph{pair} of classical trajectories, indicating how quantum coherences are to be propagated semiclassically in phase space. The phase-space path-integral approach allows for a finer resolution of the quantum spot in terms of Airy functions.
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"abstract": "Propagation of the Wigner function is studied on two levels of semiclassical\npropagation, one based on the van-Vleck propagator, the other on phase-space\npath integration. Leading quantum corrections to the classical Liouville\npropagator take the form of a time-dependent quantum spot. Its oscillatory\nstructure depends on whether the underlying classical flow is elliptic or\nhyperbolic. It can be interpreted as the result of interference of a\n\\emph{pair} of classical trajectories, indicating how quantum coherences are to\nbe propagated semiclassically in phase space. The phase-space path-integral\napproach allows for a finer resolution of the quantum spot in terms of Airy\nfunctions.",
"arxiv_id": "quant-ph/0508057",
"authors": [
"Thomas Dittrich",
"Luis Sandoval",
"Carlos Viviescas"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.96.070403",
"journal_ref": "Phys. Rev. Lett. 96, 070403 (2006)",
"title": "Semiclassical propagator of the Wigner function",
"url": "https://arxiv.org/abs/quant-ph/0508057"
},
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