Skip to Main content Skip to Navigation
Journal articles

Instantons revisited: dynamical tunnelling and resonant tunnelling

Abstract : 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.
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00434131
Contributor : Amaury Mouchet <>
Submitted on : Thursday, April 8, 2010 - 7:28:47 PM
Last modification on : Tuesday, April 21, 2020 - 10:29:58 AM
Document(s) archivé(s) le : Thursday, September 23, 2010 - 12:44:41 PM

Files

inst_HAL.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00434131, version 2
  • ARXIV : 0911.4093

Collections

Citation

Jérémy Le Deunff, Amaury Mouchet. Instantons revisited: dynamical tunnelling and resonant tunnelling. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2010, 81, pp.046205. ⟨hal-00434131v2⟩

Share

Metrics

Record views

170

Files downloads

230