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We propose a new dark-state cooling method of trapped ion systems in theLamb-Dicke limit. With application of microwave dressing the ion, we can obtaintwo electromagnetically induced transparency structures. The heating effectscaused by the carrier and the blue sideband transition vanish due to the EITeffects and the final mean phonon numbers can be much less than the recoillimit. Our scheme is robust to fluctuations of microwave power and laserintensities which provides a broad cooling bandwidth to cool motional modes ofa linear ion chain. Moreover, it is more suitable to cool four-level ions on alarge-scale ion chip.

Dark state cooling of a trapped ion using microwave coupling