A Construction Method of the Wave-Particle Entanglement State of the Particle System

Entanglement of the wave-particle duality of particles has attracted enormous attention as one of fundamental feature of quantum mechanics. Herein, we systematically studied the wave-particle entanglement of the particle system composed of N particles. The results indicate that the particle system has the wave-particle entanglement after the interaction, when the wave function of any one of the system can be obtained by using same basis vectors before the interaction. Moreover, a construction method of the wave-particle entanglement state is found for the particle system. Finally, the photons can show the wave-particle entanglement in the previous experimental work, which was further confirmed by the construction method. The results provide a new understanding for the entanglement of the wave-particle duality.