Can I read Instantons Revisited: Dynamical Tunnelling and Resonant Tunnelling on EtoBox?

Instantons Revisited: Dynamical Tunnelling and Resonant Tunnelling by Deunff, Jérémy Le; Mouchet, Amaury is a scholarly article available to read on EtoBox.

What is Instantons Revisited: Dynamical Tunnelling and Resonant Tunnelling about?

Starting from trace formulae for the tunnelling splittings (or decay rates) analytically continued in the complex time domain, we obtain explicit semiclassical expansions in terms of complex trajectories that are selected with appropriate complex-time paths. We show how this instanton-like approach, which takes advantage of an incomplete Wick rotation, accurately reproduces tunnelling effects not only in the usual double-well potential but also in situations where a pure Wick rotation is insufficient, for instance dynamical tunnelling or resonant tunnelling. Even though only one-dimensional autonomous Hamiltonian systems are quantitatively studied, we discuss the relevance of our method for multidimensional and/or chaotic tunnelling.

Author

Deunff, Jérémy Le; Mouchet, Amaury

Published

2009

Language

EN