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Phys. Rev. A 70, 063801 (2004) [9 pages]

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

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L. F. Wei1,2, Yu-xi Liu1, and Franco Nori1,3
1Frontier Research System, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama 351-0198, Japan
2Institute of Quantum Optics and Quantum Information, Department of Physics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
3Center for Theoretical Physics, Physics Department, Center for the Study of Complex Systems, The University of Michigan, Ann Arbor, Michigan 48109-1120, USA

See Also: Publisher's Note

Received 14 August 2003; revised 2 July 2004; published 1 December 2004; publisher error corrected 10 December 2004

Based on the conditional quantum dynamics of laser-ion interactions, 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 sequentially using a series of classical laser pulses 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 the even/odd coherent states. Unlike previous schemes operating in the Lamb-Dicke regime, the present one does well for an arbitrary-strength coupling between the internal and external degrees of freedom of the ion. The experimental realizability of this approach is also discussed.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.063801
DOI:
10.1103/PhysRevA.70.063801
PACS:
42.50.Dv, 42.50.Vk

See Also

Publisher's Note: L. F. Wei, Yu-xi Liu, and Franco Nori, Publisher's Note: Engineering quantum pure states of a trapped cold ion beyond the Lamb-Dicke limit [Phys. Rev. A 70, 063801 (2004)], Phys. Rev. A 70, 069904 (2004).