Are Quantum Objects Born with Duality?

TL;DR

This paper investigates wave-particle duality in quantum objects, revealing that duality depends on the source state of a photon emitted from entangled atoms, and introduces a quadratic relation called the Duality Pythagorean Theorem.

Contribution

It demonstrates that wave-particle duality is conditional on the atomic source and introduces a new quadratic relation linking duality to atomic state purity.

Findings

Duality varies with atomic source purity

Duality can be maximized, minimized, or absent

A quadratic relation governing duality and source purity

Abstract

We study wave-particle duality by exploring for the first time effects of a quantum object's source. A single photon emitted from a pair of nonlocally entangled two-level atoms is specifically analyzed. Surprisingly, duality is found to be a conditional phenomenon depending on the photon's atomic source. It can be tuned maximum, medium, and even minimum (completely absent) by the atomic state purity through an exact quadratic relation that can be called Duality Pythagorean Theorem. The analysis shows a new way of investigating duality by accounting how the single quantum object is created. The result sheds a new light on the fundamental understanding of the completeness of wave-particle duality, and can be tested in various practical physical systems.