一维海森伯反铁磁链的量子纠缠与相变

Quantum Entanglement and Phase Transitions of One Dimension Heisenberg Antiferromagnetic Chain

研究一维海森伯反铁磁链的量子纠缠的变化规律,以及该系统的量子相变与耦合常数的关系.研究表明,反铁磁材料中自旋的共生纠缠度是温度和耦合常数的单调函数.在一定范围内,当增大耦合常数而降低温度时,纠缠将会增大.然而,当耦合常数增大到一定值以后,共生纠缠度呈现饱和现象.

We have studied the quantum entanglement of Heisenberg antiferromagnetic chain, and have researched the relation between the system＇s quantum phase transition and coupling constants. It shows that concurrence is a monotone function of the coupling constant and temperature in the antiferromagnetic materials. In a certain range, which increases the coupling constant and lower temperature, the quantum entanglement will grow. However, when the coupling constant increases to a certain value, the concurrence has saturated phenomenon.