  The Kibble-Zurek mechanism captures universality when a system is driven
through a continuous phase transition. Here we study the dynamical aspect of
quantum phase transitions in the Ising Field Theory where the critical point
can be crossed in different directions in the two-dimensional coupling space
leading to different scaling laws. Using the Truncated Conformal Space
Approach, we investigate the microscopic details of the Kibble-Zurek mechanism
in a genuinely interacting field theory. We demonstrate dynamical scaling in
the non-adiabatic time window and provide analytic and numerical evidence for
specific scaling properties of various quantities, including higher cumulants
of the excess heat.
