Continuous-time quantum walks in phase space
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.
- Publication:
-
Physical Review A
- Pub Date:
- January 2006
- DOI:
- 10.1103/PhysRevA.73.012105
- arXiv:
- arXiv:quant-ph/0509141
- Bibcode:
- 2006PhRvA..73a2105M
- Keywords:
-
- 03.65.Ca;
- 05.60.Gg;
- Formalism;
- Quantum transport;
- Quantum Physics;
- Condensed Matter - Statistical Mechanics
- E-Print:
- slightly revised version to be published in PRA, 6 pages, 6 color figures (high quality postscript figures are available upon request)