核控制的实时复Langevin模拟
Kernel controlled real-time Complex Langevin simulation
摘要：
本研究探讨了实用的内核在复杂的Langevin模拟的量子实时动力学的Schwinger-Keldysh轮廓。我们给出了几个例子，我们使用一个系统的计划，以找到内核恢复正确的复朗之万收敛。该计划结合先验信息，我们知道的系统和复朗之万的收敛性的正确性，以构建一个核。这使我们能够模拟高达$1.5β$的实时Schwinger-Keldysh轮廓与0+1维非谐振子使用$m=1$，$λ=24$，这是以前无法实现的使用复杂的朗之万方程。
英文摘要：
This study explores the utility of a kernel in complex Langevin simulations of quantum real-time dynamics on the Schwinger-Keldysh contour. We give several examples where we use a systematic scheme to find kernels that restore correct convergence of complex Langevin. The schemes combine prior information we know about the system and the correctness of convergence of complex Langevin to construct a kernel. This allows us to simulate up to $1.5β$ on the real-time Schwinger-Keldysh contour with the 0+1 dimensional anharmonic oscillator using $m=1$, $λ=24$, which was previously unattainable using the complex Langevin equation.
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