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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 14: Posters (Montag - Donnerstag)

MP 14.2: Poster

Freitag, 22. März 2019, 09:00–09:00, HS 23

Semigroup Approach to the Sign Problem in Quantum Monte Carlo Simulations — •Zhongchao Wei — University of Cologne, Cologne 50937, Germany

We propose a new framework based on the concept of semigroup to understand the fermion sign problem. By using properties of contraction semigroups, we obtain new sufficient conditions for quantum lattice fermion models to be sign-problem-free. Many previous results can be considered as special cases of our new results. As a direct application of our new results, we construct a new class of sign-problem-free fermion lattice models, which cannot be understood by previous frameworks. This framework also provides an interesting aspect to understanding related quantum many-body systems. We establish a series of inequalities for all the sign-problem-free fermion lattice models that satisfy our sufficient conditions.