General theory for thermal and nonthermal quantum linear engines
- URL: http://arxiv.org/abs/2112.03901v3
- Date: Tue, 26 Apr 2022 21:04:27 GMT
- Title: General theory for thermal and nonthermal quantum linear engines
- Authors: Milton Aguilar and Juan Pablo Paz
- Abstract summary: We show that when coupled to a single reservoir work cannot be extracted unless there is population inversion.
We show that the ratio between the heat flowing out and into the working medium cannot be arbitrarily small, satisfying a form of Clausius inequality.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present the exact theory of quantum engines whose working medium is a
network of driven oscillators performing an arbitrary cyclic process while
coupled to thermal and nonthermal reservoirs. We show that when coupled to a
single reservoir work cannot be extracted unless there is population inversion,
and prove that the ratio between the heat flowing out and into the working
medium cannot be arbitrarily small, satisfying a form of Clausius inequality.
We use such identity to prove that the efficiency of linear quantum engines
satisfies a generalized bound, which coincides with the Carnot limit for
thermal reservoirs. The previous results enable us to estimate the cost of
preparing nonthermal reservoirs, which, if available, could be used to violate
the Carnot limit.
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