2009/03/24 by E. Torrontegui, J. G. Muga, J. Martorell +1
Mathematics · Physics and Astronomy · #Algebraic number #Applied mathematics #Combinatorics #Detector #Dimension (graph theory) #Exponential decay #Exponential function #Exponential growth #Laser-Matter Interactions and Applications #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Observability #Optics #Physics #Probability density function #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.80.012703
published as Physical Review A 80, 012703 (2009)
arxiv created 2009/03/24 · openalex publication_date 2009/07/10 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the elusive transition from exponential to postexponential (algebraic) decay of the probability density of a quantum particle emitted by an exponentially decaying source in one dimension. The main finding is that the probability density at the transition time, and thus its observability, increases with the distance of the detector from the source up to a critical distance beyond which exponential decay is no longer observed. Solvable models provide explicit expressions for the dependence of the transition on resonance and observational parameters, facilitating the choice of optimal conditions.