Magnetic Double-Wells: Lower Bounds on Tunneling

TL;DR

This paper establishes lower bounds on tunneling rates in magnetic double-well systems for general coupling constants, complementing previous work on special cases with vanishing tunneling.

Contribution

It provides the first general lower bounds on tunneling in magnetic double-well systems, extending prior counter-example constructions.

Findings

Lower bounds on tunneling rates for generic coupling constants

Counter-examples with vanishing tunneling in special potentials

Complementary to previous theoretical results

Abstract

We present lower bounds on tunneling rates in magnetic double well systems for generic values of the coupling constant. This result was recently announced in \cite{FSW24} and complements our recent counter-example construction which exhibits vanishing tunneling for specially-constructed double-well potentials.