Quantum energy exchange and refrigeration: a full-counting statistics approach

We formulate a full-counting statistics description to study energy exchange in multi-terminal junctions. Our approach applies to quantum systems that are coupled either additively or non-additively (cooperatively) to multiple reservoirs. We derive a Markovian Redfield-type equation for the counting...

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Bibliographic Details
Published in:New journal of physics 2018-08, Vol.20 (8), p.83026
Main Authors: Friedman, Hava Meira, Agarwalla, Bijay Kumar, Segal, Dvira
Format: Article
Language:English
Subjects:
absorption refrigerator
additive and non-additive couplings
Heat exchange
Interaction models
Physics
Quantum theory
quantum thermodynamics
Refrigeration
Reservoirs
Thermodynamics
Variation
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Summary:We formulate a full-counting statistics description to study energy exchange in multi-terminal junctions. Our approach applies to quantum systems that are coupled either additively or non-additively (cooperatively) to multiple reservoirs. We derive a Markovian Redfield-type equation for the counting-field dependent reduced density operator. Under the secular approximation, we confirm that the cumulant generating function satisfies the heat exchange fluctuation theorem. Our treatment thus respects the second law of thermodynamics. We exemplify our formalism on a multi-terminal two-level quantum system, and apply it to realize the smallest quantum absorption refrigerator, operating through engineered reservoirs, and achievable only through a cooperative bath interaction model.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/aad5fc