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Bulletin of the American Physical Society

Quantum control of mechanical oscillators

Konrad W. Lehnert

Published Feb 27, 2012• 0 citations
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We investigate a hybrid electromechanical system consisting of a pair of charged macroscopic mechanical oscillators coupled to a small ensemble of Rydberg atoms. The resonant dipole-dipole coupling between an internal atomic Rydberg transition and the mechanics allows cooling to its motional ground state with a single atom despite the considerable mass imbalance between the two subsystems. We show that the rich electronic spectrum of Rydberg atoms, combined with their high degree of optical control, paves the way towards implementing various quantum-control protocols for the mechanical oscillators.
The ability to access a broad range of quantum states with mechanical oscillators has many applications and is an enduring ambition in the fields of opto- and electromechanics. However, as mechanical oscillators are linear at the quantum scale, arbitrary quantum control over them requires an extrinsic nonlinearity. In this thesis, I aim to provide this extrinsic nonlinearity and establish quantum control over the motion of a suspended aluminum disk by coupling it strongly to a superconducting qubit. To this end, I design and fabricate a device, when operated at its maximum coupling strength, could enable phonon-number-resolved measurements and arbitrary quantum control over the mechanical motion. However, limited by unclear reasons that break the qubit readout, I operate at approximately a quarter of the maximum coupling strength. Nevertheless, at this smaller coupling strength, I demonstrate the preparation of a non-Gaussian nonclassical state of motion.Because of the large coupling achieved in this work, the sideband transitions are phonon-number-sensitive, selectively altering the phonon populations in only a few Fock states. Using these phonon-number-sensitive sideband transitions, I dissipatively stabilize the mechanical oscillator into a highly-energized sub-Poissonian state, where its energy fluctuations are below the classical limit. This result represents a major step toward the long-time ambition of accessing a broad range of nonclassical states with macroscopic mechanical oscillators. Moreover, requiring neither number-resolution nor coherent control of the qubit, the dissipative stabilization technique demonstrated in this work also provides an accessible path toward preparing nonclassical states in other harmonic oscillators coupled to qubits.