2015/10/31 by Giacomo Guarnieri, Chikako Uchiyama, Bassano Vacchini · 68 citations
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Backflow #Computer science #Energy (signal processing) #Energy exchange #Engineering #Formalism (music) #Mechanical and Optical Resonators #Physics #Quantum mechanics #Statistical physics #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreva.93.012118
published in Physical Review A 93(1) (American Physical Society) · 11 pages, 5 figures; published version
openalex publication_date 2016/01/22 · arxiv created 2016/01/23 · arxiv updated 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the behavior in time of the energy exchange between a system of interest and its environment, together with its relationship to the non-Markovianity of the system dynamics. In order to evaluate the energy exchange we rely on the full counting statistics formalism, which we use to evaluate the first moment of its probability distribution. We focus in particular on the energy backflow from environment to system, to which we associate a suitable condition and quantifier, which enables us to draw a connection with a recently introduced notion of non-Markovianity based on information backflow. This quantifier is then studied in detail in the case of the spin-boson model, described within a second-order time-convolutionless approximation, observing that non-Markovianity allows for the observation of energy backflow. This analysis allows us to identify the parameters region in which energy backflow is higher.