稳态量子蒙特卡洛
Quantum Monte Carlo in the steady-state
AI总结:
提出稳态英寸虫蒙特卡洛方法,直接求解非平衡量子杂质模型稳态,避免瞬态演化,降低成本,并揭示关联材料对偏压的响应与近藤劈裂的本质差异。
摘要:
我们提出了一种数值精确的稳态英寸虫蒙特卡洛方法,用于非平衡量子杂质模型。该方法直接在稳态中表述,而非将初始态传播至长时间,从而无需穿越瞬态动力学,并以大幅降低的计算成本访问更广泛的参数范围。我们在非相互作用极限和近藤 regime 的幺正极限下,对量子点的平衡格林函数进行了基准测试。随后,我们考虑了用动力学平均场理论描述并由偏压驱动远离平衡的关联材料。我们表明,关联材料对偏压的响应在性质上不同于偏压驱动量子点中观察到的近藤共振劈裂。
英文摘要:
We present a numerically exact steady-state inchworm Monte Carlo method for nonequilibrium quantum impurity models. Rather than propagating an initial state to long times, the method is directly formulated in the steady-state. This eliminates any need to traverse the transient dynamics and grants access to a much larger range of parameter regimes at vastly reduced computational costs. We benchmark the method on equilibrium Green's functions of quantum dots in the noninteracting limit and in the unitary limit of the Kondo regime. We then consider correlated materials described with dynamical mean field theory and driven away from equilibrium by a bias voltage. We show that the response of a correlated material to a bias voltage differs qualitatively from the splitting of the Kondo resonance observed in bias-driven quantum dots.
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