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arXiv:1103.4197 · Physical Review B

Nondeterministic ultrafast ground-state cooling of a mechanical resonator

Yong Li, Lian-Ao Wu, Ying-Dan Wang, Li‐Ping Yang

Published Sep 9, 2011• 65 citations
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Abstract

We present a feasible scheme for the cooling of a mechanical resonator via projective measurements on an auxiliary flux qubit which interacts with it. We find that ground-state cooling can be achieved with several random-time-interval measurements. The cooling efficiency hardly depends on the time intervals between any two consecutive measurements. The cooling scheme is also robust against environmental noise.

DOI
10.1103/physrevb.84.094502

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We present a feasible scheme for the cooling of a mechanical resonator via projective measurements on an auxiliary flux qubit which interacts with it. We find that ground-state cooling can be achieved with several random-time-interval measurements. The cooling efficiency hardly depends on the time intervals between any two consecutive measurements. The cooling scheme is also robust against environmental noise.
We propose two measurement-based schemes to cool a nonlinear mechanical resonator down to energies close to that of its ground state. The protocols rely on projective measurements of a spin degree of freedom, which interacts with the resonator through a Jaynes-Cummings interaction. We show the performance of these cooling schemes, that can be either concatenated—i.e., built by repeating a sequence of dynamical evolutions followed by projective measurements—or single-shot. We characterize the performance of both cooling schemes with numerical simulations and pinpoint the effects of decoherence and noise mechanisms. Due to the ubiquity and experimental relevance of the Jaynes-Cummings model, we argue that our results can be applied in a variety of experimental setups.
We propose two measurement-based schemes to cool a nonlinear mechanical resonator down to energies close to that of its ground state. The protocols rely on projective measurements of a spin degree of freedom, which interacts with the resonator through a Jaynes-Cummings interaction. We show the performance of these cooling schemes, that can be either concatenated---i.e., built by repeating a sequence of dynamical evolutions followed by projective measurements---or single-shot. We characterize the performance of both cooling schemes with numerical simulations and pinpoint the effects of decoherence and noise mechanisms. Due to the ubiquity and experimental relevance of the Jaynes-Cummings model, we argue that our results can be applied in a variety of experimental setups.
We discuss cooling of a nanomechanical resonator to its mechanical ground state by coupling it to a collective system of two interacting flux qubits. We find that the collectivity crucially improves cooling by two mechanisms. First, cooling transitions proceed via subradiant Dicke states, and the reduced linewidth of these subradiant states suppresses both the scattering and the environmental contribution to the final phonon number. Second, detrimental carrier excitations without change in the motion of the resonator are suppressed by collective energy shifts.
We propose dynamical schemes to engineer coherent states of a mechanical resonator (MR) coupled to an ancillary, superconducting flux qubit. The flux qubit, when repeatedly projected on to its ground state, drives the MR into a coherent state in probabilistic, albeit heralded fashion. Assuming no operations on the state of the MR during the protocol, coherent states are successfully generated only up to a certain value of the displacement parameter. This restriction can be overcome at the cost of a one-time operation on the initial state of the MR. We discuss the possibility of experimental realization of the presented schemes.
We discuss cooling of a nanomechanical resonator to its mechanical ground state by coupling it to a collective system of two interacting flux qubits. We find that the collectivity crucially improves cooling by two mechanisms. First, cooling transitions proceed via sub-radiant Dicke states, and the reduced line width of these sub-radiant states suppresses both the scattering and the environmental contribution to the final phonon number. Second, detrimental carrier excitations without change in the motion of the resonator are suppressed by collective energy shifts.