Cooling a Mechanical Resonator to Quantum Regime by heating it

Abstract

We consider a mechanical resonator made of diamond, which contains a nitrogen-vacancy center (NV center) locating at the end of the oscillator. A second order magnetic gradient is applied and inducing coupling between mechanical modes and the NV center. By applying proper external magnetic field, the energy difference between NV center electron spin levels can be tuned to match the energy difference between two mechanical modes $a$ and $b$. A laser is used for continuously initializing the NV center electron spin. The mode $a$ with lower frequency is driven by a thermal bath. We find that the temperature of the mode $b$ is significantly cooled when the heating bath temperature is increased. We discuss the conditions that quantum regime cooling requires, and confirm the results by numerical simulation. Finally we give the intuitive physical explanation on this unusual effect.

9 pages, 5 figures; added new figure in Fig. 2; Accepted for Phys. Rev. A

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• Ground-state cooling of a nanomechanical oscillator with N spins
• High-precision gravimeter based on a nano-mechanical resonator hybrid with an electron spin
• Single phonon source based on a giant acoustic nonlinear effect
• High-speed quantum transducer with a single-photon emitter in a 2D resonator
• Quantum memory and non-demolition measurement of single phonon state with nitrogen-vacancy centers ensemble
• Spin-mechanical thermal machines
• Sympathetic Cooling of Levitated Optomechanics through Nonreciprocal Coupling