Dec 3 – 6, 2019
KEK
Japan timezone

Sign problem and the tempered Lefschetz thimble method

Dec 4, 2019, 1:30 PM
40m
Kobayashi Hall, Kenkyu-Honkan bldg. 1F (KEK)

Kobayashi Hall, Kenkyu-Honkan bldg. 1F

KEK

Speaker

Prof. Masafumi Fukuma

Description

The tempered Lefschetz thimble method (TLTM) [arXiv:1703.00861] is a parallel-tempering algorithm towards solving the numerical sign problem. It uses the flow time of the antiholomorphic gradient flow as a tempering parameter and is expected to tame both the sign and multimodal problems simultaneously. In this talk, after reviewing the TLTM, we apply the method to various problems, including the quantum Monte Carlo simulation of the Hubbard model away from half-filling and the chiral random matrix models with finite temperature and finite chemical potential.

Presentation materials