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12-14 September 2018
Fermilab - Wilson Hall
US/Central timezone

Approaching Lattice Gauge Theories with Matrix Product States and Gaussian States

Sep 13, 2018, 11:55 AM
25m
One West (Fermilab - Wilson Hall)

One West

Fermilab - Wilson Hall

Fermi National Accelerator Laboratory Batavia, IL

Speaker

Dr Stefan Kuehn (Perimeter Institute for Theoretical Physics)

Description

In recent years variational approaches based on efficient ansatzes for the wave function of a quantum many-body system have proven their power for addressing the Hamiltonian lattice formulation of gauge theories. For one, methods based on Matrix Product States, a particular kind of one-dimensional Tensor Network, have been successfully applied to various Abelian and non-Abelian lattice gauge models in $1+1$ dimension. Lately, we developed a variational ansatz based on Gaussian States for $(1+1)$-dimensional lattice gauge theories. These techniques do not suffer from the sign problem and allow for addressing problems which cannot be tackled with conventional Monte Carlo methods, such as out-of-equilibrium dynamics or the presence of a chemical potential. In this talk I will present some results demonstrating the capabilities of these techniques using the Schwinger model and a $(1+1)$-dimensional SU(2) lattice gauge theory as a test bench. In particular, I will show that we can reliably simulate the static aspects as well as the real-time dynamics of string breaking in these models, and that these methods might be helpful for exploring questions relevant for an implementation in (analog) quantum simulators.

Presentation Materials