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- W4286905988 abstract "We consider the numerical solution of the real time equilibrium Dyson equation, which is used in calculations of the dynamical properties of quantum many-body systems. We show that this equation can be written as a system of coupled, nonlinear, convolutional Volterra integro-differential equations, for which the kernel depends self-consistently on the solution. As is typical in the numerical solution of Volterra-type equations, the computational bottleneck is the quadratic-scaling cost of history integration. However, the structure of the nonlinear Volterra integral operator precludes the use of standard fast algorithms. We propose a quasilinear-scaling FFT-based algorithm which respects the structure of the nonlinear integral operator. The resulting method can reach large propagation times, and is thus well-suited to explore quantum many-body phenomena at low energy scales. We demonstrate the solver with two standard model systems: the Bethe graph, and the Sachdev-Ye-Kitaev model." @default.
- W4286905988 created "2022-07-25" @default.
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- W4286905988 date "2021-10-12" @default.
- W4286905988 modified "2023-10-16" @default.
- W4286905988 title "A fast time domain solver for the equilibrium Dyson equation" @default.
- W4286905988 doi "https://doi.org/10.48550/arxiv.2110.06120" @default.
- W4286905988 hasPublicationYear "2021" @default.
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