耗散辅助算子演化方法捕捉流体动力输运
Dissipation-assisted operator evolution method for capturing hydrodynamic transport
摘要：
介绍了耗散辅助算符演化（DAOE）方法，用于计算高温下强相互作用晶格系统的输运性质。DAOE基于海森堡图像中的可观测量的演化，并应用人工耗散来减少非局部算子的权重。我们表示的观察矩阵产品运营商，并表明，耗散导致运营商纠缠的衰减，使我们能够捕捉到很长一段时间的动态。我们测试这个方案通过计算自旋和能量扩散常数在各种物理模型。通过逐渐减弱耗散，我们能够一致地将我们的结果外推到零耗散的情况，从而以高精度估计物理扩散常数。
英文摘要：
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.
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