Efficient numerical integration of the adiabatic master equation*

The capability to simulate open quantum systems under the adiabatic condition is critical for verifying the behavior of quantum annealers. While adiabaticity is a useful condition for theoretical analysis, straightforward numerical implementations of the adiabatic master equation (AME) suffer from the need to integrate an adiabatic but highly oscillatory quantum state over a very long period of time. We show that the AME in the adiabatic frame can be split in a way that prevents large superoperator evaluations and is amenable to geometric integration methods for split time-depedent problems.