31 July 2023 to 4 August 2023
America/Chicago timezone

Meron-Cluster Algorithms for Quantum Link Models

3 Aug 2023, 17:40
20m
Ramsey Auditorium

Ramsey Auditorium

Speaker

Joao Carlos Pinto Barros (ETH Zürich)

Description

State-of-the-art algorithms for simulating fermions coupled to gauge fields often rely on integrating fermion degrees of freedom. While successful in simulating QCD at zero chemical potential, at finite density these approaches are hindered by the sign problem, for example, leading to extensive research on alternative formulations suitable, inter alia, for simulations of gauge theories on quantum devices.

In this talk, we will discuss the simulation of lattice gauge theories in the Hamiltonian formalism and present an efficient generalized meron-cluster algorithm for the simulation of the Schwinger Model. A key feature of this algorithm is the ability to satisfy Gauss’ law exactly during cluster flips, allowing for non-local updates while remaining within the physical subspace. Not only this enables the study of models directly relevant to current quantum simulators, but it also presents a promising first step toward constructing new efficient algorithms for more complicated gauge theories.

Topical area Algorithms and Artificial Intelligence

Primary author

Co-authors

Marina Marinkovic (ETH Zurich) Thea Budde (ETH Zurich)

Presentation materials