We show that a closed quantum system driven through a quantum critical point with two rates ${\omega }_1$ (which controls its proximity to the quantum critical point) and ${\omega }_2$ (which controls the dispersion of the low-energy quasiparticles at the critical point) exhibits novel scaling laws for defect density $n$ and residual energy $Q$. We demonstrate suppression of both $n$ and $Q$ with increasing ${\omega }_2$ leading to an alternate route to achieving near-adiabaticity in a finite time for a quantum system during its passage through a critical point. We provide an exact solution for such dynamics with linear drive protocols applied to a class of integrable models, supplement this solution with scaling arguments applicable to generic many-body Hamiltonians, and discuss specific models and experimental systems where our theory may be tested.

• Received 14 March 2014
• Revised 25 August 2014

DOI:https://doi.org/10.1103/PhysRevB.90.104306