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

K. Eckert, J. Mompart, G. Birkl, M. Lewenstein

Research output: Contribution to journalArticleResearchpeer-review

60 Citations (Scopus)

Abstract

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.
Original languageEnglish
Article number012327
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume72
DOIs
Publication statusPublished - 1 Jan 2005

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