论文标题

连续矩阵产品操作员的方法有限温度量子状态

Continuous matrix product operator approach to finite temperature quantum states

论文作者

Tang, Wei, Tu, Hong-Hao, Wang, Lei

论文摘要

我们提出了一种使用连续矩阵产品操作员表示,用于在有限温度下研究量子系统的算法。该方法在热力学限制中处理短程和远程相互作用,而不会产生任何时间离散误差。此外,该方法可直接访问物理可观察物,包括特定的热量,局部敏感性和局部光谱功能。使用原型量子XXZ链验证该方法后,我们将其应用于具有幂律衰减相互作用和无限圆柱体的量子ISING模型。该方法提供了与量子模拟器中实验和核磁共振旋转晶格松弛率有关的预测。

We present an algorithm for studying quantum systems at finite temperature using continuous matrix product operator representation. The approach handles both short-range and long-range interactions in the thermodynamic limit without incurring any time discretization error. Moreover, the approach provides direct access to physical observables including the specific heat, local susceptibility, and local spectral functions. After verifying the method using the prototypical quantum XXZ chains, we apply it to quantum Ising models with power-law decaying interactions and on the infinite cylinder, respectively. The approach offers predictions that are relevant to experiments in quantum simulators and the nuclear magnetic resonance spin-lattice relaxation rate.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源