Engineering quantum pure states of a trapped cold ion beyond the Lamb-Dicke limit

Details Engineering quantum pure states of a trapped cold ion beyond the Lamb-Dicke limit Engineering quantum pure states of a trapped cold ion beyond the Lamb-Dicke limit

2003-08-14

arxiv.org/abs/quant-ph/0308079v3

Phys. Rev. A 70, 063801 (2004)

Physics

Quantum Physics

6 pages, no figure. submitted

Scientific paper

10.1103/PhysRevA.70.063801

Based on the conditional quantum dynamics of laser-ion interaction, we propose an efficient theoretical scheme to deterministically generate quantum pure states of a single trapped cold ion without performing the Lamb-Dicke approximation. An arbitrary quantum state can be created by using a series of classical laser beams with selected frequencies, initial phases and durations. As special examples, we further show how to create or approximate several typical macroscopic quantum states, such as the phase state and (even/odd) coherent states. Unlike previous schemes operated in the Lamb-Dicke regime, the present one does well for arbitrary strength coupling between the internal and external degrees of freedom of the ion. The experimental realizability of this approach is also discussed.

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