论文标题
使用角传递矩阵方法进行投影纠缠对纠缠状态的激发
Excitations with projected entangled pair states using the corner transfer matrix method
论文作者
论文摘要
我们提出了一个框架的扩展，该框架是使用无限的投影纠缠态，在密切相关的量子多体状态下模拟单个准颗粒或集体激发，这是一个张量的网络ANSATZ，用于热力学极限中的二维波动功能。我们的方法对本地扰动状态进行了系统的求和，以便使用角传递矩阵方法获得在动量空间中定位的激发本本状态，并将框架概括为任意单位细胞大小，实现全球Abelian对称性和费米子系统。提出了几种测试用例的结果，包括横向ISING模型，旋转 - $ \ frac {1} {2} $ heisenberg模型和免费的费米子模型，以演示该方法准确捕获分散体的能力。我们还提供了$ k =（π，0）$点的激发性质的洞察力。
We present an extension of a framework for simulating single quasiparticle or collective excitations on top of strongly correlated quantum many-body ground states using infinite projected entangled pair states, a tensor network ansatz for two-dimensional wave functions in the thermodynamic limit. Our approach performs a systematic summation of locally perturbed states in order to obtain excited eigenstates localized in momentum space, using the corner transfer matrix method, and generalizes the framework to arbitrary unit cell sizes, the implementation of global Abelian symmetries and fermionic systems. Results for several test cases are presented, including the transverse Ising model, the spin-$\frac{1}{2}$ Heisenberg model and a free fermionic model, to demonstrate the capability of the method to accurately capture dispersions. We also provide insight into the nature of excitations at the $k=(π,0)$ point of the Heisenberg model.
