Dissipation-assisted operator evolution method for capturing hydrodynamic transport
Dissipation-assisted operator evolution method for capturing hydrodynamic transport
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DOI：
10.1103/physrevb.105.075131
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发表时间：
2020-04
影响因子：
3.7
通讯作者：
Tibor Rakovszky;C. Keyserlingk;F. Pollmann
中科院分区：
文献类型：
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作者：
Tibor Rakovszky;C. Keyserlingk;F. Pollmann
我们介绍了耗散辅助算子演化（DAOE）方法来计算高温下强相互作用晶格系统的输运性质。DAOE基于海森堡图中不断变化的观测值，并应用人工耗散来减少非局部算子的权重。我们用矩阵积算符来表示可观测值，并表明耗散导致算符纠缠的衰减，从而使我们能够长时间地捕获动力学。我们通过计算各种物理模型中的自旋和能量扩散常数来验证这一方案。通过逐渐减弱耗散，我们能够将结果一致地外推到零耗散的情况，从而高精度地估计物理扩散常数。
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.