Accelerating an adiabatic process by nonlinear sweeping
  We investigate the acceleration of an adiabatic process with the same survival probability of the ground state by sweeping a parameter nonlinearly, fast in the wide gap region and slow in the narrow gap region, as contrast to the usual linear sweeping. We find the expected acceleration in the Laudau-Zener tunneling model and in the adiabatic quantum computing model for factorizing the number N=21. 
Xingxin Cao, Jun Zhuang, X.-J. Ning, Wenxian Zhang
quant-ph