  Using matrix product states, we explore numerically the phenomenology of
string breaking in a non-Abelian lattice gauge theory, namely 1+1 dimensional
SU(2). The technique allows us to study the static potential between external
heavy charges, as traditionally explored by Monte Carlo simulations, but also
to simulate the real-time dynamics of both static and dynamical fermions, as
the latter are fully included in the formalism. We propose a number of
observables that are sensitive to the presence or breaking of the flux string,
and use them to detect and characterize the phenomenon in each of these setups.
