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Effective damping in the Raman cooling of trapped ions

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arxiv quant-ph/0311183 v1 pith:NITNBQRT submitted 2003-11-26 quant-ph

Effective damping in the Raman cooling of trapped ions

classification quant-ph
keywords dampingeffectiveequationmastertransformationunitaryaccountadiabatic
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We present a method of treating the interaction of a single three-level ion with two laser beams. The idea is to apply a unitary transformation such that the exact transformed Hamiltonian has one of the three levels decoupled for all values of the detunings. When one takes into account damping, the evolution of the system is governed by a master equation usually obtained via adiabatic approximation under the assumption of far-detuned lasers. To go around the drawbacks of this technique, we use the same unitary transformation to get an effective master equation.

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