Optical Indistinguishability via Twinning Fields
Gerard McCaul, Alexander F. King, Denys I. Bondar

TL;DR
This paper introduces the concept of twinning fields, electromagnetic pulses that make two different materials produce identical optical responses, with potential implications across optics, materials science, and quantum tech.
Contribution
It establishes the universal existence of twinning fields for many-body systems and derives conditions for their uniqueness, supported by numerical analysis of the Fermi-Hubbard model.
Findings
Twinning fields can render distinct materials optically indistinguishable.
Existence of twinning fields is universal for generic many-body systems.
Numerical calculations demonstrate twinning fields in the Fermi-Hubbard model.
Abstract
Here we introduce the concept of the twinning field -- a driving electromagnetic pulse that induces an identical optical response from two distinct materials. We show that for pairs of generic many-body systems, a twinning field which renders the systems \emph{optically indistinguishable} always exists. The conditions under which this field is unique are derived, and this analysis is supplemented by numerical calculations of twinning fields for the Fermi-Hubbard model. The universal existence of twinning fields may lead to new research directions in non-linear optics, materials science, and quantum technologies.
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