Space-time resolved quantum field approach to Klein tunneling dynamics across a finite barrier
arXiv:2205.15119 · doi:10.1103/PhysRevA.106.L060202
Abstract
We investigate Klein tunneling through finite potential barriers with space-time resolved solutions to relativistic quantum field equations. We find that no particle actually tunnels through a finite supercritical barrier, even in the case of resonant tunneling. The transmission is instead mediated by modulations in pair production rates, at each edge of the barrier, caused by the incoming electron. We further examine the effect of the barrier's width on the numbers of produced pairs in the fermionic case (characterized by saturation) and in the bosonic case (characterized by exponential superradiance). This work paves the way to precise studies of the radiating dynamics of supercritical barriers, and could be applied to certain analogs of Klein tunneling observed in systems modeled by relativistic wave equations.
arXiv commentSlightly extended, one figure added
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Cited by in corpus (5)
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- Computational quantum field theory for fermion pair creation in 2-dimensional curved spacetimes
- Microcausality and Tunneling Times in Relativistic Quantum Field Theory