Complex Langevin simulation in condensed matter physics
Arata Yamamoto, Tomoya Hayata
TL;DR
This paper explores the application of the complex Langevin method to simulate nonrelativistic condensed matter systems like rotating Bose gases and imbalanced Fermi-Hubbard models, aiming to address the sign problem.
Contribution
It demonstrates the feasibility of using the complex Langevin method for complex condensed matter models beyond quantum chromodynamics.
Findings
Successful simulation of rotating Bose gas
Application to imbalanced Fermi-Hubbard model
Potential to overcome sign problem in condensed matter
Abstract
The complex Langevin method is one hopeful candidate to tackle the sign problem. This method is applicable not only to QCD but also to nonrelativistic field theory, such as condensed matter physics. We present the simulation results of a rotating Bose gas and an imbalanced Fermi-Hubbard model.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Physics of Superconductivity and Magnetism · Strong Light-Matter Interactions