Coarse grained and fine dynamics in trapped ion Raman schemes

Details Coarse grained and fine dynamics in trapped ion Raman schemes Coarse grained and fine dynamics in trapped ion Raman schemes

2003-10-27

arxiv.org/abs/quant-ph/0310162v3

J.Phys.A37:8177-8187,2004

Physics

Quantum Physics

12 pages, no figures

Scientific paper

10.1088/0305-4470/37/33/014

A novel result concerning Raman coupling schemes in the context of trapped ions is obtained. By means of an operator perturbative approach, it is shown that the complete time evolution of these systems (in the interaction picture) can be expressed, with a high degree of accuracy, as the product of two unitary evolutions. The first one describes the time evolution related to an effective coarse grained dynamics. The second is a suitable correction restoring the {\em fine} dynamics suppressed by the coarse graining performed to adiabatically eliminate the nonresonantly coupled atomic level.

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