Timescales of tunneling decay of a localized state
arXiv:1008.3853 · doi:10.1103/PhysRevA.82.062121
Abstract
Motivated by recent time domain experiments on ultrafast atom ionization, we analyze the transients and timescales that characterize, besides the relatively long lifetime, the decay by tunneling of a localized state. While the tunneling starts immediately, some time is required for the outgoing flux to develop. This short-term behavior depends strongly on the initial state. For the initial state tightly localized so that the initial transients are dominated by over-the-barrier motion, the timescale for the flux propagation through the barrier is close to the Büttiker-Landauer traversal time. Then a quasistationary, slowly decay process follows, which sets ideal conditions for observing diffraction in time at longer times and distances. To define operationally a tunnelling time at the barrier edge, we extrapolate backwards the propagation of the wave packet escaped from the potential. This extrapolated time is considerably longer than the timescale of the flux and density buildup at the barrier edge.
9 pages, 10 figures
References in corpus (11)
- An On-Demand Coherent Single Electron Source
- Mesoscopic Charge Relaxation
- Quantized dynamics of a coherent capacitor
- Coherent Particle Transfer in an On-Demand Single-Electron Source
- Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases
- Quantum time scales in alpha tunneling
- The Larmor clock and anomalous spin dephasing in silicon
- Small eta-N scattering lengths favour eta-d and eta-alpha states
- Pulse-pumped double quantum dot with spin-orbit coupling
- From Anderson Localization to Mesoscopic Physics
- A quantum decay model with exact explicit analytical solution
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