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.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.

arXiv:2211.10728Nov 19, 20221 citation

Kernel controlled real-time Complex Langevin simulation

Daniel Alvestad, Larsen, Rasmus, Alexander Rothkopf

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.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.

arXiv:2212.07985Dec 15, 20220 citations

Quantum dynamics of complex systems

Xiang Ying Sun

Chinese Journal of Chemical PhysicsAug 1, 20250 citations

Kernel controlled real-time Complex Langevin simulation

Daniel Alvestad, Rasmus Larsen, Alexander Rothkopf

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 $1.5\beta$ on the real-time Schwinger-Keldysh contour with the 0+1 dimensional anharmonic oscillator using $m=1$ , $\lambda=24$ , which was previously unattainable using the complex Langevin equation.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 $1.5\beta$ on the real-time Schwinger-Keldysh contour with the 0+1 dimensional anharmonic oscillator using $m=1$, $\lambda=24$, which was previously unattainable using the complex Langevin equation.

International Symposium on Lattice Field Theory (LATTICE)Feb 21, 20231 citation

Real-time dynamics of dissipative quantum systems

Michael P. Zwolak, Gil Refael

Bulletin of the American Physical SocietyMar 9, 20070 citations

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.

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.

1.5\beta

on the real-time Schwinger-Keldysh contour with the 0+1 dimensional anharmonic oscillator using

m=1

\lambda=24

, which was previously unattainable using the complex Langevin equation.