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Kernel controlled real-time Complex Langevin simulation

2022/11/19 by Daniel Alvestad, Alvestad, Daniel, Rasmus Larsen +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Neural Networks and Reservoir Computing #Quantum chaos and dynamical systems #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.2211.10728

openalex publication_date 2022/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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