Shortcuts to Adiabaticity in Quantum Many-Body Systems

The nonadiabatic dynamics of a many-body system driven through a quantum critical point leads unavoidably to the formation of excitations, in agreement with the Kibble-Zurek mechanism. A way out of this scenario relies on the use of shortcuts to adiabaticity, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body nonlocal interactions. We propose an alternative scheme which circumvents practical challenges to realize shortcuts to adiabaticity in mesoscopic systems by tailoring the functional form of the auxiliary counterdiabatic interactions. A driving scheme resorting in few-body short-range interactions is shown to generate an effectively adiabatic dynamics. \\[4pt] [1] A. del Campo, W. H. Zurek, Int. J. Mod. Phys. A 29, 1430018 (2014) \\[0pt] [2] A. del Campo, M. M. Rams, W. H. Zurek, Phys. Rev. Lett. 109, 115703 (2012)\\[0pt] [3] H. Saberi, T. Opatrný, K. Mølmer, A. del Campo, Phys. Rev. A 90, 060301(R) (2014)\\[0pt] [4] A. del Campo, K. Sengupta, arXiv:1409.8301 (2014)