The Influence of Particle Vibrations on the Entanglement Dynamics of a Tripartite System Under Heisenberg Spin Interaction and Intrinsic Decoherence
摘要
This study investigates the dynamics of tripartite entanglement in a three-particle Heisenberg spin system with vibrational coupling. Two distinct models are considered: an XYZ spin model with individual particle vibrations and a symmetric model where all spin–spin couplings and vibrational parameters are identical. The results reveal a significant influence of vibrational perturbations on the entanglement dynamics, even for small vibration amplitudes relative to the average particle distance. Notably, the symmetric model exhibits periodic loss and revival of entanglement, indicative of a resonant effect driven by the vibrational frequency. This behavior contrasts with the XYZ model, where entanglement fluctuations are less pronounced.