Quantum interference in the classically forbidden region: a parametric oscillator
M. Marthaler, M. I. Dykman
TL;DR
This paper investigates quantum tunneling in a parametrically modulated oscillator, revealing oscillations in tunneling rates caused by wave function interference in the classically forbidden region, even in the ground state.
Contribution
It demonstrates that the tunneling matrix element oscillates with the modulation frequency due to wave function interference, a novel insight into quantum tunneling phenomena.
Findings
Tunneling matrix element oscillates with modulation frequency
Interference effects occur in the ground state of the oscillator
Wave function oscillations are linked to the classically forbidden region
Abstract
We study tunneling between period two states of a parametrically modulated oscillator. The tunneling matrix element is shown to oscillate with the varying frequency of the modulating field. The effect is due to spatial oscillations of the wave function and the related interference in the classically forbidden region. The oscillations emerge already in the ground state of the oscillator Hamiltonian in the rotating frame, which is quartic in the momentum.
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