|
| related topics |
| {classical, space, random} |
| {phase, path, phys} |
| {time, wave, function} |
| {equation, function, exp} |
| {group, space, representation} |
| {energy, gaussian, time} |
| {wave, scattering, interference} |
| {cos, sin, state} |
| {alice, bob, state} |
| {error, code, errors} |
|
Semiclassical propagator of the Wigner function
Thomas Dittrich, Luis Sandoval, Carlos Viviescas
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0508057
- categories:
- quant-ph
- comments:
- 4 pages, 3 figures
- doi:
- 10.1103/PhysRevLett.96.070403
- arxiv_id:
- quant-ph/0508057
- journal_ref:
- Phys. Rev. Lett. 96, 070403 (2006)
- created:
- 2005-08-06
- updated:
- 2006-01-24
Full article ▸
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