2013/01/31 by Maximilian Köpke, Joachim Ankerhold · 1 citation
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Gaussian #Gaussian noise #Noise (video) #Physics #Quantum #Quantum Information and Cryptography #Quantum dynamics #Quantum mechanics #Representation (politics) #Statistical physics #Symmetry (geometry) #cond-mat.mes-hall #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1367-2630/15/4/043013
published as New J. Phys. 15 (2013) 043013 · 7 pages, 2 figures
openalex publication_date 2013/04/10 · arxiv created 2013/04/17 · arxiv updated 2013/04/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The dynamics of a linear system embedded in a heat bath environment and subject to white non-Gaussian noise is studied. Classical higher-order cumulants in coordinate space are derived for Poissonian noise and their impact on the dynamics and on asymptotic steady-state distributions is analyzed. In the quantum regime, non-Gaussian properties are present in reduced density in coordinate representation, but in energy representation they exist on a transient time scale only, due to symmetry. Within an exactly solvable model, our results provide insight into mechanisms of linear detectors as sensors for non-Gaussian noise at high and low temperatures.