Machine learning of thermodynamic observables in lattice quantum field theory

20 Sept 2022, 15:15
15m
Seminarraum 1-3 (CFEL (Building 99))

Seminarraum 1-3

CFEL (Building 99)

Luruper Chaussee 149 22761 Hamburg Germany
Contributed Talk (15 min) Quantum Many Body States Quantum Many-Body States

Speaker

Kim Nicoli (Technische Universität Berlin)

Description

The application of Machine Learning techniques in many field of theoretical physics has been very successful in the last years, leading to great improvement over existing standard methods.
In this work, we demonstrate how deploying deep generative machine learning models for estimating thermodynamic observables in lattice field theory
is a promising route for addressing many drawbacks typical of Markov Chain Monte Carlo (MCMC) methods.
More specifically, we show that generative models can be used to estimate the absolute value of the free energy, which is in contrast to existing MCMC-based methods which are limited to only estimate free energy differences. Moreover, we combine this with two efficient sampling techniques namely neural importance sampling (NIS) and neural HMC-estimation (NHMC) and leverage on the fact that some kind of deep generative models give access to a good approximation of the true Boltzmann distribution. We demonstrate the effectiveness of the proposed method for two-dimensional $\phi^4$ theory and compare it to MCMC-based methods in detailed numerical experiments.

Primary author

Kim Nicoli (Technische Universität Berlin)

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