Importance of the Wick rotation on Tunnelling
| dc.creator | Mouchet, Amaury | |
| dc.date | 2007-02-01 | |
| dc.date.accessioned | 2026-07-07T07:44:17Z | |
| dc.date.available | 2026-07-07T07:44:17Z | |
| dc.description | A continuous complex rotation of time $t\mapsto t\EXP{-iθ}$ 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. | |
| dc.description | 4 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0702003 | |
| dc.identifier | http://arxiv.org/abs/nlin/0702003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123146 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Quantum Physics | |
| dc.title | Importance of the Wick rotation on Tunnelling | |
| dc.type | text |