Computing real-time quantum path integrals on Sewed, almost-Lefschetz thimbles
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915174638682112 |
|---|---|
| author | Mou, Zong-Gang Saffin, Paul M. Tranberg, Anders |
| author_facet | Mou, Zong-Gang Saffin, Paul M. Tranberg, Anders |
| contents | We present a method to compute real-time path integrals numerically, by Monte-Carlo sampling on near-Lefschetz thimbles. We present a collection of tools based on the Lefschetz thimble methods, which together provide an alternative to existing methods such as the Generalised thimble. These involve a convenient coordinate parameterization of the thimble, direct numerical integration along a radial coordinate into an effective path integral weight and locally deforming the Lefschetz thimble using its Gaussian (non-interacting theory) counterpart in a region about the critical point. We apply this to quantum mechanics, identify possible pitfalls and benefits, and benchmark its efficiency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12762 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing real-time quantum path integrals on Sewed, almost-Lefschetz thimbles Mou, Zong-Gang Saffin, Paul M. Tranberg, Anders High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We present a method to compute real-time path integrals numerically, by Monte-Carlo sampling on near-Lefschetz thimbles. We present a collection of tools based on the Lefschetz thimble methods, which together provide an alternative to existing methods such as the Generalised thimble. These involve a convenient coordinate parameterization of the thimble, direct numerical integration along a radial coordinate into an effective path integral weight and locally deforming the Lefschetz thimble using its Gaussian (non-interacting theory) counterpart in a region about the critical point. We apply this to quantum mechanics, identify possible pitfalls and benefits, and benchmark its efficiency. |
| title | Computing real-time quantum path integrals on Sewed, almost-Lefschetz thimbles |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.12762 |