|
| related topics |
| {classical, space, random} |
| {time, wave, function} |
| {let, theorem, proof} |
| {cos, sin, state} |
| {phase, path, phys} |
| {group, space, representation} |
| {wave, scattering, interference} |
| {energy, state, states} |
| {time, systems, information} |
| {equation, function, exp} |
|
Continuous time quantum walks in phase space
Oliver Muelken, Alexander Blumen
abstract: We formulate continuous time quantum walks (CTQW) in a discrete quantum
mechanical phase space. We define and calculate the Wigner function (WF) and
its marginal distributions for CTQWs on circles of arbitrary length $N$. The WF
of the CTQW shows characteristic features in phase space. Revivals of the
probability distributions found for continuous and for discrete quantum carpets
do manifest themselves as characteristic patterns in phase space.
- oai_identifier:
- oai:arXiv.org:quant-ph/0509141
- categories:
- quant-ph cond-mat.stat-mech
- comments:
- slightly revised version to be published in PRA, 6 pages, 6 color
figures (high quality postscript figures are available upon request)
- doi:
- 10.1103/PhysRevA.73.012105
- arxiv_id:
- quant-ph/0509141
- journal_ref:
- Phys. Rev. A 73, 012105 (2006)
- created:
- 2005-09-21
- updated:
- 2005-12-21
Full article ▸
|
|
| related documents |
| 0407128v1 |
| 0602007v1 |
| 9706014v1 |
| 0508057v2 |
| 0102032v1 |
| 0308164v2 |
| 9910068v2 |
| 0302192v2 |
| 0401142v2 |
| 0109076v1 |
| 0108054v1 |
| 0206103v5 |
| 0309192v1 |
| 0607131v1 |
| 0112100v1 |
| 0311009v1 |
| 0406039v2 |
| 0609112v2 |
| 0410103v2 |
| 0307119v1 |
| 0703200v3 |
| 0003005v1 |
| 0302169v1 |
| 0606171v1 |
| 0406072v1 |
|