Ultrasharp Crossover from Quantum to Classical Decay in a Quantum Dot Flanked by a Double-Barrier Tunneling Structure
Abstract
The decay of metastable states is dominated by quantum tunneling at low temperatures and by thermal activation at high temperatures. The escape rate of a particle out of a square well is calculated within a semi-classical approximation and exhibits an `ultrasharp' crossover: a kink in the decay rate separates a purely quantum regime at low temperatures from a purely thermal regime at high temperatures. An experimental system -- a quantum dot supplemented by a semiconductor heterostructure -- that may be used to check the prediction, along with necessary experimental conditions, are described.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.