Laser-like Instabilities in Quantum Nano-electromechanical Systems

Abstract

We discuss negative damping regimes in quantum nano-electromechanical systems formed by coupling a mechanical oscillator to a single-electron transistor (normal or superconducting). Using an analogy to a laser with a tunable atom-field coupling, we demonstrate how these effects scale with system parameters. We also discuss the fluctuation physics of both the oscillator and the single-electron transistor in this regime, and the degree to which the oscillator motion is coherent.

4+ pages, 1 figure; reference to the work of Dykman and Krivoglaz added

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• Qantum theory of optomechanical cooling
• Amplitude Noise Squeezing in Cavity-Driven Oscillations of a Mechanical Resonator
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• Extractable work in quantum electromechanics
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• Stability of long-sustained oscillations induced by electron tunneling
• Self-driven oscillation in Coulomb blockaded suspended carbon nanotubes
• Spectral properties of a resonator driven by a superconducting single-electron transistor
• Powering an autonomous clock with quantum electromechanics
• Noise in an SSET-resonator driven by an external field
• Charge noise at Cooper-pair resonances