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Kluwer Academic Publishers eBooks

Nondissipative Decoherence and Entanglement in the Dynamics of a Trapped Ion

Sabrina Maniscalco, ANTONINO MESSINA, Anna Napoli, David Vitali

Published Feb 24, 2006• 0 citations
Publisher

Abstract

We study the robustness of the entanglement between the 2D vibrational motion and two ground state hyperfine levels of a trapped ion with respect to the presence of non-dissipative sources of decoherence.
DOI
10.1007/0-306-47114-0_65

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The decoherence of nonclassical motional states of a trapped 9Be+{}^{9}{\mathrm{Be}}^{+}9Be+ ion in a recent experiment is investigated theoretically. Sources of decoherence considered here destroy the characteristic coherent quantum dynamics of the system, but do not cause energy dissipation. Here they are first introduced phenomenologically, and then described using a microscopic Hamiltonian formulation. Theoretical predictions are compared to experimental results.
We consider a trapped ion with a quantized center-of-mass motion in 2D trap potential. With external laser fields the effective (non)linear coupling of two orthogonal vibrational modes can be established via stimulated Raman transition. Nonclassical vibrational states such as squeezed states or two-mode entangled states (Schroedinger cat-like states) can be generated. When the vibrational modes are entangled with internal energy levels the Greenberger-Horne-Zeilinger (GHZ) states can be prepared.