Fluctuations of heat in driven two-state systems : Application to a single-electron box with superconducting gap

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Abstract

By using trajectory averaging to analyze the statistics of energy dissipation in the nonequilibrium energy-state transitions of a driven two-state system, we show that the average energy dissipation induced by external driving is connected to its fluctuations about equilibrium through the simple relation 2kBT(Q)=(δQ2), which is preserved by an adiabatic approximation scheme. We use this scheme to obtain the heat statistics of a single-electron box with a superconducting lead in the slow-driving regime, where the dissipated heat becomes normally distributed with a relatively high probability to be extracted from the environment rather than dissipated. We also discuss the validity of heat fluctuation relations beyond driven two-state transitions and the slow-driving regime.

Original languageEnglish
Article number054113
Pages (from-to)1-5
Number of pages5
JournalPhysical Review E
Volume107
Issue number5
DOIs
Publication statusPublished - May 2023
MoE publication typeA1 Journal article-refereed

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  • QTF: Finnish Centre of Excellence in Quantum Technology

    Pekola, J. (Principal investigator), Blanchet, F. (Project Member), Golubev, D. (Project Member), Maillet, O. (Project Member), Mannila, E. (Project Member), Senior, J. (Project Member) & Marín Suárez, M. (Project Member)

    01/01/201831/12/2020

    Project: Academy of Finland: Other research funding

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