Speaker
Dr
Erez Zohar
(Max Planck Institute of Quantum Optics)
Description
Quantum simulation and tensor networks are two many-body physics
approaches rooted in quantum information science, which have been
widely used recently, especially in condensed matter contexts, proving
to be very useful. The first suggests to use controllable quantum
systems as simulators of others, which might be otherwise inaccessible
or hard to solve; the latter allows one to efficiently construct and
study (analytically and numerically) physically relevant many body
states with arbitrary symmetries. More recently, these methods have
been generalized and applied to high energy physics problems as well,
and in particular to gauge theories. In my talk I will discuss the
application of those methods for the study of lattice gauge theories,
focusing on the work carried out at the theory group at MPQ: first,
quantum simulation of lattice gauge theories with ultracold atoms in
optical lattices -- suggesting to observe non-perturbative elementary
particle physics in atomic simulators; and finally, gauged fermionic
PEPS -- a particular tensor network construction of gauge invariant
states, involving dynamical gauge fields and fermionic matter,
allowing one to use the efficient tensor network toolbox for the study
of gauge theories, and extend it, thanks to the presence of gauge
fields, to numerical studies in $(2+1)$-d and more.