Wave and particle properties can be spatially separated in a quantum entity

Wave and particle are two fundamental properties of Nature. The wave-particle duality has indicated that a quantum object may exhibit the behaviours of both wave and particle, depending upon the circumstances of the experiment. The major significance of wave-particle duality has led to a fundamental equation in quantum mechanics, the Schr{\" o}dinger equation. At present, the principle of wave-particle duality has been deeply rooted in people's hearts. This gives rise to a common sense perception that wave property and particle property coexist simultaneously in a quantum entity, and these two physical attributes cannot be completely separated from each other. In classical physics, a similar common sense is that a physical system is inseparable from its physical properties. However, this has been recently challenged and beaten by a quantum phenomenon called the "quantum Cheshire cat", for which a cat and its grin can be separated spatially. In this work, we propose a thought experiment based on the similar technology of quantum Cheshire cat. We find that wave and particle attributes of a quantum entity can be completely separated, thus successfully dismantling the wave-particle duality for a quantum entity. Our result is still consistent with the complementarity principle and deepens the understanding of quantum foundations.