论文标题
使用Kitaev Honeycomb模型中的量子Fisher信息揭示发散长度尺度
Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model
论文作者
论文摘要
我们计算了Kitaev蜂窝模型中与两个不同本地操作员相关的量子渔民信息（QFI），并在这些量的第二个衍生物中与完全抗抗磁性和全抗富集磁性交换的量子相变的驱动参数相对于驱动参数的第二个衍生物的行为。与局部磁化操作员相关的QFI的行为与与局部债券运算符相关的QFI的行为不同，具体取决于是否从间隙或无间隙方面接近临界点。我们展示了如何通过局部发电机相关器中的长度尺度来理解QFI在临界点上的第二个衍生物的行为。
We compute the quantum Fisher information (QFI) associated with two different local operators in the Kitaev honeycomb model, and find divergent behaviour in the second derivatives of these quantities with respect to the driving parameter at the quantum phase transition between the gapped and gapless phases for both fully anti-ferromagnetic and fully ferromagnetic exchange couplings. The QFI associated with a local magnetization operator behaves differently from that associated with a local bond operator depending on whether the critical point is approached from the gapped or gapless side. We show how the behaviour of the second derivative of the QFI at the critical point can be understood in terms of diverging length scales in the correlators of the local generators.
