München 2019 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Gittertheorien und Spinmodelle

MP 5.1: Invited Talk

Tuesday, March 19, 2019, 14:00–14:40, HS 23

Tensor Networks and their use for Lattice Gauge Theories — •Maria Carmen Banuls — Max-Planck-Institut für Quantenoptik, Garching b. München, Germany

Tensor Network States (TNS) are Ansätze for the efficient description of the state of a quantum many-body system. They can be used to study static and dynamic properties of strongly correlated states.

Lattice Gauge Theories, in their Hamiltonian version, offer a challenging scenario for these techniques. While the dimensions and sizes of the systems amenable to TNS studies are still far from those achievable by Monte Carlo simulations, Tensor Networks can be readily used for problems which more standard techniques cannot easily tackle, such as the presence of a chemical potential, or out-of-equilibrium dynamics.

In this talk I will present some recent work on the application of these techniques to study Lattice Gauge Theories. In particular, using the Schwinger model as a testbench, we have shown that TNS are suitable to approximate low energy states precisely enough to allow for accurate finite size and continuum limit extrapolations of ground state properties, mass gaps and temperature dependent quantities. The feasibility of the method has already been tested also for non-Abelian models, out-of-equilibrium scenarios, and non-vanishing chemical potential.