ORCID
- Edwards, James: 0000-0001-6545-1193
Abstract
We introduce modifications to Monte Carlo simulations of the Feynman path integral that improve sampling of localised interactions. The new algorithms generate trajectories in simple background potentials designed to concentrate them about the interaction region, reminiscent of importance sampling. This improves statistical sampling of the system and overcomes a long-time "undersampling problem" caused by the spatial diffusion inherent in Brownian motion. We prove the validity of our approach using previous analytic work on the distribution of values of the Wilson line over path integral trajectories and illustrate the improvements on some simple quantum mechanical systems
DOI
10.1103/PhysRevE.108.065306
Publication Date
2023-04-20
Publication Title
Physical review E: Statistical, nonlinear, biological, and soft matter physics
ISSN
1550-2376
Embargo Period
2024-04-13
Organisational Unit
School of Engineering, Computing and Mathematics
Keywords
hep-th, quant-ph
Recommended Citation
Ahumada, I., & Edwards, J. (2023) 'Monte Carlo generation of localised particle trajectories', Physical review E: Statistical, nonlinear, biological, and soft matter physics, . Available at: https://doi.org/10.1103/PhysRevE.108.065306
