A generalized-thimble evaluation of the closed-time path integral reproduces Schrödinger-equation tunnelling dynamics in a double well, while the classical-statistical approximation deviates.
Simulations of "Tunnelling of the 3rd Kind"
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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.
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Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles
A generalized-thimble evaluation of the closed-time path integral reproduces Schrödinger-equation tunnelling dynamics in a double well, while the classical-statistical approximation deviates.