Unusual Transitions Made Possible by Superoscillations

TL;DR

This paper demonstrates that superoscillatory electromagnetic fields can induce interactions with two-state particles as if the photons' energies match the energy gap, despite being lower, by using specially tailored quantum states.

Contribution

It introduces a physical scenario where superoscillations enable energy-gap matching interactions with photons of lower energy than the particle's gap.

Findings

Superoscillatory fields can mimic higher-energy photons in interactions.

Tailored quantum states produce superoscillatory magnetic fields.

Long-duration interactions are possible with superoscillatory fields.

Abstract

We present a physical scenario in which an electromagnetic field in a state consisted of photons whose energies are smaller than the energy gap of a two-state particle, interacts with the particle, for an arbitrarily long duration, as if it was consisted of photons whose energy matches the energy gap of the particle. This type of interaction is possible when the field is in a specially tailored state whose magnetic field's expectation value is a superoscillatory function.