Semi-classical formula for quantum tunneling in asymmetric double-well potentials
Quantum Physics
2012-07-19 v3 Mesoscale and Nanoscale Physics
Abstract
Despite quantum tunneling has been studied since the advent of quantum mechanics, the literature appears to contain no simple (textbook) formula for tunneling in generic asymmetric double-well potentials. In the regime of strong localization, we derive an succinct analytical formula based on the WKB semi-classical approach. Two different examples of asymmetric potentials are discussed: when the two localized levels are degenerate or not. For the first case, we also discuss a time-dependent problem showing quantum Zeno effect.
Cite
@article{arxiv.1205.0366,
title = {Semi-classical formula for quantum tunneling in asymmetric double-well potentials},
author = {Gianluca Rastelli},
journal= {arXiv preprint arXiv:1205.0366},
year = {2012}
}
Comments
(9 pages, 7 figures)