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Phys. Rev. A 64, 033401 (2001) [10 pages]

Nonlinear coherent states of trapped-atom motion

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Z. Kis1,*, W. Vogel, and L. Davidovich2
1Arbeitsgruppe Quantenoptik, Fachbereich Physik, Universität Rostock, Universitätsplatz 3, D-18051 Rostock, Germany
2Instituto de Física, Universidade Federal de Rio de Janeiro, Caixa Postal 68528, 21945-970 Rio de Janeiro, Rio de Janeiro, Brazil

Received 13 October 2000; published 1 August 2001

The general character of nonlinear coherent states (NCS) is considered. A method is introduced by which any pure state of the quantum harmonic oscillator can be represented in a limiting sense as a NCS. The representation of a Fock state as a NCS is discussed in detail. As a physical example we show how to prepare a highly excited Fock state in an ion trap based on the concept of NCS.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.033401
DOI:
10.1103/PhysRevA.64.033401
PACS:
42.50.Vk, 32.80.Qk, 42.50.Lc

*Permanent address: Research Institute for Solid State Physics and Optics, H-1525 Budapest, P.O. Box 49, Hungary.