Stable solvers for real-time Complex Langevin

Abstract

This study explores the potential of modern implicit solvers for stochastic partial differential equations in the simulation of real-time complex Langevin dynamics. Not only do these methods offer asymptotic stability, rendering the issue of runaway solution moot, but they also allow us to simulate at comparatively largeLangevin time steps, leading to lower computational cost. We compare different ways of regularizing the underlying path integral and estimate the errors introduced due to the finite Langevin time. Based on that insight, we implement benchmark (non-)thermal simulations of the quantum anharmonic oscillator on the canonical Schwinger-Keldysh contour of short real-time extent.

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Cited by in corpus (11)

• Diffusion Models as Stochastic Quantization in Lattice Field Theory
• Towards learning optimized kernels for complex Langevin
• Stabilizing complex Langevin for real-time gauge theories with an anisotropic kernel
• Stable solvers for real-time Complex Langevin
• Inverse problems, real-time dynamics and lattice simulations
• Complex Langevin approach to interacting Bose gases
• Real-time correlators in 3+1D thermal lattice gauge theory
• Lefschetz thimble-inspired weight regularizations for complex Langevin simulations
• Simulating the Berezinskii-Kosterlitz-Thouless Transition with Complex Langevin
• Necessary and sufficient conditions for correctness of complex Langevin
• Correctness criteria for complex Langevin