2016/02/29 by Simon Pigeon, André Xuereb · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Artificial intelligence #Computer science #Dynamical systems theory #Function (biology) #Large deviations theory #Mathematics #Physics #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Realisation #Salient #Space (punctuation) #Spectroscopy and Quantum Chemical Studies #Standard deviation #Statistical physics #Statistics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/1742-5468/2016/06/063203
published as J. Stat. Mech. (2016) 063203 · 23 pages and 4 figures
arxiv created 2016/06/13 · openalex publication_date 2016/06/13 · arxiv updated 2016/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Thermodynamics of trajectories promises to make possible the thorough analysis of the dynamical properties of an open quantum system, a sought-after goal in modern physics. Unfortunately, calculation of the relevant quantities presents severe challenges. Determining the large-deviation function that gives access to the full counting statistics associated with a dynamical order parameter is challenging, if not impossible, even for systems evolving in a restricted Liouville space. Acting on the realisation that the salient features of most dynamical systems are encoded in the first few moments of the counting statistics, in this article we present a method that gives sequential access to these moments. Our method allows for obtaining analytical result in several cases, as we illustrate, and allows using large deviation theory to reinterpret certain well-known results.