Monte Carlo generation of localised particle trajectories
dc.contributor.author | Ahumada, I | |
dc.contributor.author | Edwards, James | |
dc.date.accessioned | 2023-11-27T14:12:20Z | |
dc.date.available | 2023-11-27T14:12:20Z | |
dc.date.issued | 2023-04-20 | |
dc.identifier.issn | 1550-2376 | |
dc.identifier.uri | https://pearl.plymouth.ac.uk/handle/10026.1/21706 | |
dc.description | 8 pages plus 3 appendices, various figures. | |
dc.description.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 | |
dc.publisher | American Physical Society | |
dc.subject | hep-th | |
dc.subject | quant-ph | |
dc.subject | quant-ph | |
dc.title | Monte Carlo generation of localised particle trajectories | |
dc.type | Journal Article | |
plymouth.author-url | http://arxiv.org/abs/2304.10518v2 | |
plymouth.journal | Physical review E: Statistical, nonlinear, biological, and soft matter physics | |
dc.identifier.doi | 10.1103/PhysRevE.00.005300 | |
plymouth.organisational-group | |Plymouth | |
plymouth.organisational-group | |Plymouth|Faculty of Science and Engineering | |
plymouth.organisational-group | |Plymouth|Faculty of Science and Engineering|School of Engineering, Computing and Mathematics | |
plymouth.organisational-group | |Plymouth|REF 2021 Researchers by UoA | |
plymouth.organisational-group | |Plymouth|Users by role | |
plymouth.organisational-group | |Plymouth|Users by role|Academics | |
plymouth.organisational-group | |Plymouth|Users by role|Post-Graduate Research Students | |
plymouth.organisational-group | |Plymouth|REF 2021 Researchers by UoA|UoA10 Mathematical Sciences | |
plymouth.organisational-group | |Plymouth|REF 2021 Researchers by UoA|ZZZ Extended UoA 10 - Mathematical Sciences | |
plymouth.organisational-group | |Plymouth|REF 2028 Researchers by UoA | |
plymouth.organisational-group | |Plymouth|REF 2028 Researchers by UoA|UoA10 Mathematical Sciences | |
dcterms.dateAccepted | 2023-10-04 | |
dc.date.updated | 2023-11-27T14:12:20Z | |
dc.rights.embargodate | 2024-04-13 | |
rioxxterms.versionofrecord | 10.1103/PhysRevE.00.005300 |