Kernel controlled real-time Complex Langevin simulation

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 inform...

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Bibliographic Details
Main Authors: Alvestad, Daniel, Larsen, Rasmus, Rothkopf, Alexander
Format: Conference Proceeding
Language:English
Subjects:
Anharmonicity
Contours
Convergence
Kernels
Real time
Simulation
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Summary: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 2 β 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.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/202227408001