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Exact solution of the ion‐laser interaction in all regimes
Authors:A Zúñiga‐Segundo  R Juárez‐Amaro  JM Vargas‐Martínez  H Moya‐Cessa
Institution:1. Departamento de Física, Escuela Superior de Física y Matemáticas Edificio 9, Unidad Profesional Adolfo Lopez Mateos, 07738 México, DF, México;2. Universidad Tecnológica de la Mixteca, Apdo. Postal 71, 69000 Huajuapan de León, Oax., México;3. INAOE, Apdo. Postal 51 y 216, 72000 Puebla, Pue., México;4. INAOE, Apdo. Postal 51 y 216, 72000 Puebla, Pue., MéxicoPhone: +52 222 266 3100, Fax: +52 222 247 2940
Abstract:We show that in the trapped ion‐laser interaction all the regimes may be considered analytically. We may solve not only for different laser intensities, but also away from resonance and from the Lamb‐Dicke regime. It is found a dispersive Hamiltonian for the high intensity regime, that, being diagonal, its evolution operator may be easily calculated.
Keywords:Ion‐laser interaction  rotating wave approximation  effective Hamiltonians  
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