Generation of motional SU(1,1) intelligent states of a trapped ion

C. C. Gerry, Shih-Chuan Gou, J. Steinbach

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

We propose a scheme for generating SU(1,1) intelligent states for the quantized vibrational motion of a trapped ion. The SU(1,1) intelligent states are those states satisfying the equalized SU(1,1) uncertainty relation. The relevant operators can be realized for one or two vibrational modes (the states for the latter having strong intermode correlations) and we consider both cases. In the single-mode case, three codirectional laser beams are used to excite the trapped ion, while for the two-mode case, five laser beams along different directions in the X-Y plane of the ion trap are required. Our desired states are obtained as the steady-state solutions, indicated by the extinction of the fluorescence by the ion, of the master equation containing dissipative terms due to spontaneous emission with appropriately chosen initial states. The system is also studied numerically using a Monte Carlo state-vector method.

Original languageEnglish
Pages (from-to)630-635
Number of pages6
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume55
Issue number1
DOIs
Publication statusPublished - 1997 Jan 1

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laser beams
ions
state vectors
spontaneous emission
vibration mode
extinction
operators
fluorescence

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

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Generation of motional SU(1,1) intelligent states of a trapped ion. / Gerry, C. C.; Gou, Shih-Chuan; Steinbach, J.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 55, No. 1, 01.01.1997, p. 630-635.

Research output: Contribution to journalArticle

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