  For all of the interest in dynamical phase transitions (DPT), it is still not
clear the meaning or prevalence of these features in higher dimensional models.
In this paper, we consider DPTs for stabilizer code models and quantum quenches
between these models in higher dimensions, particularly $d=2,3$. We find that
for many stabilizer codes, there exists a robust DPT to thermal noise which
indicates the resilience of information stored in the ground space in the
context of quantum error correction. That is, the critical temperature at which
the DPT is lost corresponds to the theoretical upper-bound on the decoding rate
for the code. We also discuss a generalization of the Wegner duality and how it
can be used to characterize DPTs and other thermal properties.
