Quantum control via enhanced shortcuts to adiabaticity

Fast and robust quantum control protocols are often based on an idealized approximate description of the relevant quantum system. While this may provide a performance that is close to optimal, improvements can be made by incorporating elements of the full system representation. We propose a technique for such scenarios, called enhanced shortcuts to adiabaticity (eSTA). The eSTA method works for previously intractable Hamiltonians by providing an analytical correction to existing STA protocols. This correction can be easily calculated, and the resulting protocols are outside the class of STA schemes. We demonstrate the effectiveness of the method for three distinct cases: manipulation of an internal atomic state beyond the rotating-wave approximation, transport of a neutral atom in an optical Gaussian trap, and transport of two trapped ions in an anharmonic trap.