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Semiclassical formula for quantum tunneling in asymmetric double-well potentials

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2012

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Physical Review A. 2012, 86(1), 012106. ISSN 0556-2791. eISSN 1094-1622. Available under: doi: 10.1103/PhysRevA.86.012106

Zusammenfassung

Despite the fact that 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, I derive a succinct analytical formula based on the Wentzel-Kramers-Brillouin semiclassical approach. Two different examples of asymmetric potentials are discussed: the cases when the two localized levels are degenerate and when they are not degenerate. For the first case, I also discuss a time-dependent problem showing the quantum Zeno effect.

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ISO 690RASTELLI, Gianluca, 2012. Semiclassical formula for quantum tunneling in asymmetric double-well potentials. In: Physical Review A. 2012, 86(1), 012106. ISSN 0556-2791. eISSN 1094-1622. Available under: doi: 10.1103/PhysRevA.86.012106
BibTex
@article{Rastelli2012-05-02Semic-46539,
  year={2012},
  doi={10.1103/PhysRevA.86.012106},
  title={Semiclassical formula for quantum tunneling in asymmetric double-well potentials},
  number={1},
  volume={86},
  issn={0556-2791},
  journal={Physical Review A},
  author={Rastelli, Gianluca},
  note={Article Number: 012106}
}
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