Speaker
Karel Van Acoleyen
(Ghent University)
Description
In the last decade the tensor network state (TNS) formalism has emerged as a
new language for our understanding of quantum many body systems. As a
Hamiltonian variational method, the TNS framework can handle dynamical
non-equilibrium phenomena and regimes with finite fermionic densities, and it
therefore presents a promising complementary approach to the Monte-Carlo
Euclidean lattice simulations. Recently it has been realized that TNS also
provide a very natural language for gauge theories. In this talk I will
discuss their application in this context. I will present some recent work on
the TNS approach for 1+1 dimensional gauge theories. A notable result here is
the real-time simulation at the full quantum level of the dynamical Schwinger
particle creation process for 1+1 dimensional QED. In addition, I will also
briefly consider TNS applications on higher dimensional gauge theories.
Author
Karel Van Acoleyen
(Ghent University)