Thermodynamic Uncertainty Relations from Exchange Fluctuation Theorems

Autor(es)

Timpanaro, Andre M. ^[1] ; Guarnier, Giacomo ^[2] ; Goold, John ^[2] ; Landi, Gabriel T. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed ABC, BR-09210580 Santo Andre - Brazil

^[2] Trinity Coll Dublin, Dept Phys, Dublin 2 - Ireland

^[3] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physical Review Letters; v. 123, n. 9 AUG 30 2019.
• Citações Web of Science: 5

Resumo

Thermodynamic uncertainty relations (TURs) place strict bounds on the fluctuations of thermodynamic quantities in terms of the associated entropy production. In this Letter, we identify the tightest (and saturable) matrix-valued TUR that can be derived from the exchange fluctuation theorems describing the statistics of heat and particle flow between multiple systems of arbitrary dimensions. Our result holds for both quantum and classical systems, undergoing general finite-time nonstationary processes. Moreover, it provides bounds not only for the variances, but also for the correlations between thermodynamic quantities. To demonstrate the relevance of TURs to the design of nanoscale machines, we consider the operation of a 2-qubit SWAP engine undergoing an Otto cycle and show how our results can be used to place strict bounds on the correlations between heat and work. (AU)

• Processo FAPESP: 17/07973-5 - Termodinâmica e tecnologias de informação utilizando sistemas quânticos de variáveis contínuas
• Beneficiário: Gabriel Teixeira Landi
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/50304-7 - Entropy production in non-equilibrium quantum processes: from foundations to quantum technologies
• Beneficiário: Gabriel Teixeira Landi
• Modalidade de apoio: Auxílio à Pesquisa - Regular