Current noise in quantum dot thermoelectric engines

• URL: http://arxiv.org/abs/2411.13408v1
• Date: Wed, 20 Nov 2024 15:47:09 GMT
• Title: Current noise in quantum dot thermoelectric engines
• Authors: Simon Wozny, Martin Leijnse,
• Abstract summary: We theoretically investigate a thermoelectric heat engine based on a single-level quantum dot. We investigate the effects of strong interactions and next-to-leading order tunneling.
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• Abstract: We theoretically investigate a thermoelectric heat engine based on a single-level quantum dot, calculating average quantities such as current, heat current, output power, and efficiency, as well as fluctuations (noise). Our theory is based on a diagrammatic expansion of the memory kernel together with counting statistics, and we investigate the effects of strong interactions and next-to-leading order tunneling. Accounting for next-to-leading order tunneling is crucial for a correct description when operating at high power and high efficiency, and in particular affect the qualitative behavior of the Fano factor and efficiency. We compare our results with the so-called thermodynamic uncertainty relations, which provide a lower bound on the fluctuations for a given efficiency. In principle, the conventional thermodynamic uncertainty relations can be violated by the non-Markovian quantum effects originating from next-to-leading order tunneling, providing a type of quantum advantage. However, for the specific heat engine realization we consider here, we find that next-to-leading order tunneling does not lead to such violations, but in fact always pushes the results further away from the bound set by the thermodynamic uncertainty relations.

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