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We investigate non-equilibrium dynamical scaling in adiabatic quenchprocesses across quantum multicritical points. Our analysis shows that theresulting power-law scaling depends sensitively on the control path, and thatanomalous critical exponents may emerge depending on the universality class. Weargue that the observed anomalous behavior originates in the fact that thedynamical excitation process takes place asymmetrically with respect to thestatic multicritical point, and that non-critical energy modes may play adominant role. As a consequence, dynamical scaling requires introducing newnon-static exponents.

Anomalous non-ergodic scaling in adiabatic multicritical quantum quenches