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Journal of Physics A Mathematical and Theoretical

An analytical solution to the nonlinear model forNtrapped ions driven by a single laser field

Z J Wang

Published May 22, 2007• 2 citations
Publisher

Abstract

We have studied the nonlinear model for interaction of N ions in a trap with a laser beam. By applying two successive unitary transformations, this nonlinear quantum system can be transformed into the multi-levels Jayness–Cummings model. In the end, we can obtain an analytical solution to the two-ion system without performing the Lamb–Dicke approximation, and observe the super-revival phenomenon.

DOI
10.1088/1751-8113/40/23/014

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We have studied the nonlinear model for interaction of N ions in a trap with a laser beam. By applying two successive unitary transformations, this nonlinear quantum system can be transformed into the multi-levels Jayness–Cummings model. In the end, we can obtain an analytical solution to the two-ion system without performing the Lamb–Dicke approximation, and observe the super-revival phenomenon.