2007/02/01 by Amaury Mouchet, Mouchet, Amaury · 1 citation
Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Drilling and Well Engineering #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Quantum Physics (quant-ph) #Tunneling and Rock Mechanics #nlin.CD #quant-ph
paper · pdf · doi:10.48550/arxiv.nlin/0702003
4 figures
arxiv created 2007/02/01 · openalex publication_date 2007/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A continuous complex rotation of time t↦ t\EXP-iθ is shown to smooth out the huge fluctuations that characterise chaotic tunnelling. This is illustrated in the kicked rotor model (quantum standard map) where the period of the map is complexified: the associated chaotic classical dynamics, if significant for θ=0, is blurred out long before the Wick rotation is completed (θ=π/2). The influence of resonances on tunnelling rates weakens exponentially as θ increases from zero, all the more rapidly the sharper the fluctuations. The long range fluctuations can therefore be identified in a deterministic way without ambiguity. When the last ones have been washed out, tunnelling recovers the (quasi-)integrable exponential behaviour governed by the action of a regular instanton.