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hep-lat2020
Distance between configurations in MCMC simulations and the geometrical optimization of the tempering algorithms
Masafumi Fukuma, Nobuyuki Matsumoto, Naoya Umeda
For a given Markov chain Monte Carlo (MCMC) algorithm, we define the distance between configurations that quantifies the difficulty of transitions. This distance enables us to inve…
hep-lat2020
Tempered Lefschetz thimble method and its application to the Hubbard model away from half filling
Masafumi Fukuma, Nobuyuki Matsumoto, Naoya Umeda
The tempered Lefschetz thimble method (TLTM) is a parallel-tempering algorithm towards solving the numerical sign problem. It tames both the sign and ergodicity problems simultaneo…