Semi-classical formula for quantum tunneling in asymmetric double-well potentials

2012/05/31 by Gianluca Rastelli · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.mes-hall

paper · pdf · doi:10.1103/physreva.86.012106

published as Phys. Rev. A 86, 012106 (2012) · (9 pages, 7 figures)

arxiv created 2012/07/02 · arxiv updated 2012/07/19

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.

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