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Acta Physica Hungarica B) Quantum Electronics

Laser Driven Ion Traps: Beyond the Standard Perturbative Limit

Paolo Aniello, Vladimir I. Man’ko, Giuseppe Marmo, A. Porzio, F. Zaccaria, S. Solimeno

Published Jan 1, 2004• 2 citations
Publisher
DOI
10.1556/aph.20.2004.1-2.26

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It is well known that electronic transitions driven by nearly resonant travelling- or standing- wave lasers are often accompanied with vibrational sideband transitions of a single trapped ion undergoing quantized center-of-mass motion [1], Our previous studies showed that quantum statistics of radiation fields can be used to manipulate the vibronic motion of a trapped ion localised within the Lamb-Dicke limit (LDL) [2]. The present paper addresses quantum manipulating vibronic motion of an ion trapped far beyond the LDL.
The probability distribution of a two-level ion confined in a time-dependent nonlinear trapping field and driven by a radiation field is calculated using an alternative treatment based on a singular asymptotic expansion. It is assumed that the ion is excited by electromagnetic radiation and relaxes back irreversibly by spontaneous emission. The present calculations reproduce the quantum results of the laser cooling of ions in static traps in the heavy-particle limit, and previous classical treatments for the confinement and cooling of ions in radio-frequency traps.