Dynamic Quantum Tunneling in Mesoscopic Driven Duffing Oscillators

TL;DR

This paper explores quantum tunneling in a mesoscopic driven Duffing oscillator, revealing a quantum shift in bifurcation points and a linear scaling law for tunneling rates related to the driving distance.

Contribution

It uncovers the linear scaling behavior of tunneling rates and the quantum shift of bifurcation points in mesoscopic driven Duffing oscillators, advancing understanding of quantum dynamics in such systems.

Findings

Quantum shift of bifurcation point observed.

Linear scaling law for tunneling rate with driving distance.

Enhanced understanding of quantum effects in mesoscopic oscillators.

Abstract

We investigate the dynamic quantum tunneling between two attractors of a mesoscopic driven Duffing oscillator. We find that, in addition to inducing remarkable quantum shift of the bifurcation point, the mesoscopic nature also results in a perfect linear scaling behavior for the tunneling rate with the driving distance to the shifted bifurcation point.