Tan Xiao-Dong, Cui Le, Song Ya-Feng
School of Electronic Information and Electrical Engineering, Shangluo University, Shangluo 726000, People's Republic of China.
J Phys Condens Matter. 2021 Jul 1;33(34). doi: 10.1088/1361-648X/ac0bea.
We study the dynamics of entanglement between two edge spins in a zigzag graphene nanoribbon (ZGNR) which is thermalized with a reservoir at temperature. The results show that the entanglement evolution displays oscillating behaviors in the presence of an external magnetic field. Such oscillating behaviors of entanglement strongly depend on the field frequency and relative location between two inter-edge coupled spins. At some critical field frequencies, the entanglement exhibits a periodic structure. When the temperature is low, the oscillating patterns of entanglement are quite regular and symmetrical. When the temperature is high, the patterns of entanglement evolution occur irregular distortions due to the thermal fluctuations. However, the entanglement between two inter-edge coupled spins in ZGNR still exists a nontrivial value even at room temperature.
我们研究了锯齿形石墨烯纳米带(ZGNR)中两个边缘自旋之间的纠缠动力学,该纳米带与处于一定温度的热库热化。结果表明,在存在外部磁场的情况下,纠缠演化呈现出振荡行为。这种纠缠的振荡行为强烈依赖于场频率以及两个边缘间耦合自旋的相对位置。在某些临界场频率下,纠缠呈现出周期性结构。当温度较低时,纠缠的振荡模式相当规则且对称。当温度较高时,由于热涨落,纠缠演化模式会出现不规则畸变。然而,即使在室温下,ZGNR中两个边缘间耦合自旋之间的纠缠仍存在一个非平凡值。