Anomalous nonergodic scaling in adiabatic multicritical quantum quenches

We investigate nonequilibrium dynamical scaling in adiabatic quench processes across quantum multicritical points. Our analysis shows that the resulting power-law scaling depends sensitively on the control path and that anomalous critical exponents may emerge depending on the universality class. We argue that the observed anomalous behavior originates in the fact that the dynamical excitation process takes place asymmetrically with respect to the static multicritical point and that noncritical energy modes may play a dominant role. As a consequence, dynamical scaling requires introducing genuinely nonstatic exponents.