论文标题
耗散辅助操作员进化方法用于捕获流体动力传输
Dissipation-assisted operator evolution method for capturing hydrodynamic transport
论文作者
论文摘要
我们介绍了耗散辅助操作员进化(DAOE)方法,用于计算高温方向上强烈相互作用晶格系统的运输特性。 Daoe基于海森堡图片中不断发展的可观察物,并应用人工耗散,以减轻非本地算子的重量。我们代表可观察到的矩阵产品运算符,并表明耗散会导致操作员纠缠的衰减,从而使我们能够将动态捕获至很长时间。我们通过计算各种物理模型中的自旋和能量扩散常数来测试该方案。通过逐渐削弱耗散,我们能够将结果始终如一地推断为零耗散的情况,从而以高精度估算物理扩散常数。
We introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime. DAOE is based on evolving observables in the Heisenberg picture, and applying an artificial dissipation that reduces the weight on non-local operators. We represent the observable as a matrix product operator, and show that the dissipation leads to a decay of operator entanglement, allowing us to capture the dynamics to long times. We test this scheme by calculating spin and energy diffusion constants in a variety of physical models. By gradually weakening the dissipation, we are able to consistently extrapolate our results to the case of zero dissipation, thus estimating the physical diffusion constant with high precision.