From laser cooling to aging: a unified Levy flight description

Abstract

Intriguing phenomena such as subrecoil laser cooling of atoms, or aging phenomenon in glasses, have in common that the systems considered do not reach a steady-state during the experiments, although the experimental time scales are very large compared to the microscopic ones. We revisit some standard models describing these phenomena, and reformulate them in a unified framework in terms of lifetimes of the microscopic states of the system. A universal dynamical mechanism emerges, leading to a generic time-dependent distribution of lifetimes, independently of the physical situation considered.

8 pages, 2 figures; accepted for publication in American Journal of Physics

References in corpus (7)

• Models of traps and glass phenomenology
• Statistical Aging and Non Ergodicity in the Fluorescence of Single Nanocrystals
• Universality Classes for Extreme Value Statistics
• Aging on Parisi's tree
• Out of equilibrium dynamics in spin-glasses and other glassy systems
• The Kovacs effect in model glasses
• Lévy Statistics for Random Single--Molecule Line Shapes in a Glass

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• Intermittent outgassing through a non-Newtonian fluid
• Infinite invariant density in a semi-Markov process with continuous state variables
• Transitions in the ergodicity of subrecoil-laser-cooled gases
• Transition in the decay rates of stationary distributions of Lévy motion in an energy landscape
• Gas of sub-recoiled laser cooled atoms described by infinite ergodic theory
• Infinite ergodic theory for three heterogeneous stochastic models with application to subrecoil laser cooling
• Fluctuations around equilibrium laws in ergodic continuous-time random walks
• From entropic to energetic barriers in glassy dynamics: The Barrat-Mézard trap model on sparse networks
• Binary decision making with very heterogeneous influence