Physical Sciences and Mathematics Commons^™

Anomalous Nonergodic Scaling In Adiabatic Multicritical Quantum Quenches, Shusa Deng, Gerardo Ortiz, Lorenza Viola

Dartmouth Scholarship

We investigate non-equilibrium dynamical scaling in adiabatic quench processes across quantum multi critical 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 non-critical energy modes may play a dominant role. As a consequence, dynamical scaling requires introducing new non-static exponents.