Extractable work in quantum electromechanics
- URL: http://arxiv.org/abs/2201.07819v2
- Date: Tue, 25 Jan 2022 14:32:50 GMT
- Title: Extractable work in quantum electromechanics
- Authors: Oisin Culhane, Mark T. Mitchison, John Goold
- Abstract summary: Recent experiments have demonstrated the generation of coherent mechanical oscillations in a suspended carbon nanotube.
We model a nano-electromechanical device as a quantum flywheel or battery that converts electrical power into stored mechanical energy.
We characterise the threshold for self-sustained oscillations using two approaches to work deposition in non-equilibrium quantum thermodynamics.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Recent experiments have demonstrated the generation of coherent mechanical
oscillations in a suspended carbon nanotube, which are driven by an electric
current through the device above a certain voltage threshold, in close analogy
with a lasing transition. We investigate this phenomenon from the perspective
of work extraction, by modelling a nano-electromechanical device as a quantum
flywheel or battery that converts electrical power into stored mechanical
energy. We introduce a microscopic model that qualitatively matches the
experimental finding, and compute the Wigner function of the quantum
vibrational mode in its non-equilibrium steady-state. We characterise the
threshold for self-sustained oscillations using two approaches to quantifying
work deposition in non-equilibrium quantum thermodynamics: the ergotropy and
the non-equilibrium free energy. We find that ergotropy serves as an order
parameter for the phonon lasing transition. The framework we employ to describe
work extraction is general and widely transferable to other mesoscopic quantum
devices.
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