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We propose an approach to cool a mechanical resonator (MR) via quantuminterference in a triple quantum dot (TQD) capacitively coupled to the MR. TheTQD connected to three electrodes is an electronic analog of a three-level atomin $\Lambda$ configuration. The electrons can tunnel from the left electrodeinto one of the two dots with lower-energy states, but can only tunnel out fromthe higher-energy state at the third dot to the right electrode. When the twolower-energy states are tuned to be degenerate, an electron in the TQD can betrapped in a superposition of the degenerate states called the dark state. Thiseffect is caused by the destructive quantum interference between tunneling fromthe two lower-energy states to the higher-energy state. Under this condition,an electron in the dark state readily absorbs an energy quantum from the MR.Repeating this process, the MR can be cooled to its ground state. Moreover, wepropose a scheme for verifying the cooling result by measuring the currentspectrum of a charge detector adjacent to a double quantum dot coupled to theMR.

Cooling a mechanical resonator by quantum interference in a triple quantum dot