State permutations from manipulation of near-level-crossings

Nicole F. Bell; R. F. Sawyer; Raymond R. Volkas; Yvonne Y. Y. Wong

doi:10.1103/PhysRevA.68.032307

State permutations from manipulation of near-level-crossings

Nicole F. Bell, R. F. Sawyer, Raymond R. Volkas, and Yvonne Y. Y. Wong

Phys. Rev. A 68, 032307 – Published 15 September 2003

Abstract

We discuss some systematic methods for implementing state manipulations in systems formally similar to chains of a few spins with nearest-neighbor interactions, arranged such that there are strong and weak scales of coupling links. States are permuted by means of bias potentials applied to a few selected sites. This generic structure is then related to an atoms-in-a-cavity model that has been proposed in the literature as a way of achieving a decoherence-free subspace. A method using adiabatically varying laser detuning to implement a controlled NOT gate in this model is proposed.

Received 14 February 2003

DOI:https://doi.org/10.1103/PhysRevA.68.032307

Authors & Affiliations

Nicole F. Bell^1,*, R. F. Sawyer^2,†, Raymond R. Volkas^3,‡, and Yvonne Y. Y. Wong^4,§

¹NASA/Fermilab Astrophysics Center, Fermi National Accelerator Laboratory, Batavia, Illinois 60510-0500, USA
²Department of Physics, University of California at Santa Barbara, Santa Barbara, California 93106, USA
³School of Physics, Research Centre for High Energy Physics, The University of Melbourne, Victoria 3010, Australia
⁴Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA

^*Electronic address: nfb@fnal.gov
^†Electronic address: sawyer@vulcan.physics.ucsb.edu
^‡Electronic address: r.volkas@physics.unimelb.edu.au
^§Electronic address: ywong@physics.udel.edu

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Vol. 68, Iss. 3 — September 2003

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