Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Kernel controlled real-time Complex Langevin simulation

Aug 8, 2022, 2:40 PM
20m
CP1-HSZ/1st-1.004 - HS7 (CP1-HSZ)

CP1-HSZ/1st-1.004 - HS7

CP1-HSZ

70
Oral Presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms

Speaker

Daniel Alvestad (University of Stavanger)

Description

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 $2\beta$ 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.

Primary authors

Alexander Rothkopf (University of Stavanger) Daniel Alvestad (University of Stavanger) Rasmus Larsen (University of Stavanger)

Presentation materials