Quantum fluctuation relations

2017/05/11 by Paolo Facchi, Giancarlo Garnero, Marilena Ligabò
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Fluctuation theorem #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum fluctuation #Quantum mechanics #Set (abstract data type) #Statistical physics #Theoretical physics #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1142/s0219887817400023

published as International Journal of Geometric Methods in Modern Physics 14 (2017) 1740002 · 20 pages, 3 figures

openalex publication_date 2017/05/11 · arxiv created 2017/05/17 · arxiv updated 2017/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present here a set of lecture notes on exact fluctuation relations. We prove the Jarzynski equality and the Crooks fluctuation theorem, two paradigmatic examples of classical fluctuation relations. Finally, we consider their quantum versions, and analyze analogies and differences with the classical case.

Citations

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