APS » PROLA » Phys. Rev. A » Volume 72 » Issue 1
< Previous article | Next article >

Phys. Rev. A 72, 012327 (2005) [9 pages]

One- and two-dimensional quantum walks in arrays of optical traps

Download: PDF (818 kB) or Buy this Article (Use Article Pack) Export: BibTeX or EndNote (RIS)

K. Eckert1, J. Mompart2, G. Birkl3, and M. Lewenstein1,4 *
1Institut für Theoretische Physik, Universität Hannover, D-30167 Hannover, Germany
2Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain
3Institut für Angewandte Physik, Technische Universität Darmstadt, Schlossgartenstraße 7, D-64289 Darmstadt, Germany
4ICFO—Institut de Ciències Fotòniques, 08034 Barcelona, Spain

Received 10 March 2005; published 21 July 2005

We propose a different implementation of discrete-time quantum walks for a neutral atom in an array of optical microtraps or an optical lattice. We analyze a one-dimensional walk in position space, with the coin, the additional qubit degree of freedom that controls the displacement of the quantum walker, implemented as a spatially delocalized qubit, i.e., the coin is also encoded in position space. We analyze the dependence of the quantum walk on temperature and experimental imperfections such as shaking in the trap positions. Finally, combining a spatially delocalized qubit and a hyperfine qubit, we also give a scheme to realize a quantum walk on a two-dimensional square lattice with the possibility of implementing different coin operators.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.72.012327
DOI: 10.1103/PhysRevA.72.012327
PACS: 03.67.Mn, 32.80.Pj, 42.50.−p

* Also at Institució Catalana de Recerca i Estudis Avançats.

[ Abstract  |  Previous article  |  Next article  |  Issue 1 ]