Studying Lattice Gauge Theories with Tensor Networks

Maria Carmen Banuls^1*

¹Max Planck Institute of Quantum Optics, Garching, Germany

* Presenter:Maria Carmen Banuls, email:banulsm@mpq.mpg.de

Tensor Network States are ansatzes 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. 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, it has been shown that these ansatzes 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. Beyond this case, the feasibility of the method has already been tested also for non-Abelian models, out-of-equilibrium scenarios, and non-vanishing chemical potential, the latter two cases that offer difficulties to standard Montecarlo techniques.

Keywords: tensor networks, numerical simulations of quantum many body systems, lattice gauge theory