Thermodynamic uncertainty relation in slowly driven quantum heat engines
- URL: http://arxiv.org/abs/2006.07316v5
- Date: Fri, 19 Jan 2024 10:01:43 GMT
- Title: Thermodynamic uncertainty relation in slowly driven quantum heat engines
- Authors: Harry J. D. Miller, M. Hamed Mohammady, Mart\'i Perarnau-Llobet,
Giacomo Guarnieri
- Abstract summary: We show that an alternative TUR is satisfied, which is less restrictive than that of steady-state engines.
We illustrate our findings in the experimentally relevant model of a single-ion heat engine.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Thermodynamic Uncertainty Relations express a trade-off between precision,
defined as the noise-to-signal ratio of a generic current, and the amount of
associated entropy production. These results have deep consequences for
autonomous heat engines operating at steady-state, imposing an upper bound for
their efficiency in terms of the power yield and its fluctuations. In the
present manuscript we analyse a different class of heat engines, namely those
which are operating in the periodic slow-driving regime. We show that an
alternative TUR is satisfied, which is less restrictive than that of
steady-state engines: it allows for engines that produce finite power, with
small power fluctuations, to operate close to the Carnot efficiency. The bound
further incorporates the effect of quantum fluctuations, which reduces engine
efficiency relative to the average power and reliability. We finally illustrate
our findings in the experimentally relevant model of a single-ion heat engine.
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