# Simulations of "Tunnelling of the 3rd Kind"

## TL;DR

This paper numerically investigates the phenomenon of 'tunnelling of the 3rd kind', where magnetic fields pass through barriers via fermion pair creation, confirming perturbative predictions within a factor of two.

## Contribution

It provides a numerical simulation of fermion-mediated magnetic tunnelling, demonstrating agreement with theoretical results and exploring this quantum effect in a Higgs-gauge system.

## Key findings

- Magnetic field penetrates barriers via fermion pairs.
- Numerical results agree with perturbative predictions within a factor of two.
- Study confirms the feasibility of simulating this quantum tunnelling phenomenon.

## Abstract

We consider the phenomenon of "tunnelling of the 3rd kind", whereby a magnetic field may traverse a classically impenetrable barrier by pair creation of unimpeded quantum fermions. These propagate through the barrier and generate a magnetic field on the other side. We study this numerically using quantum fermions coupled to a classical Higgs-gauge system, where we set up a magnetic field outside a box shielded by two superconducting barriers. We examine the magnitude of the internal magnetic field, and find agreement with existing perturbative results within a factor of two.