Reduced equations of motion for quantum systems driven by diffusive   Markov processes
  The expansion of a stochastic Liouville equation for the coupled evolution of a quantum system and an Ornstein-Uhlenbeck process into a hierarchy of coupled differential equations is a useful technique that simplifies the simulation of stochastically-driven quantum systems. We expand the applicability of this technique by completely characterizing the class of diffusive Markov processes for which a useful hierarchy of equations can be derived. The expansion of this technique enables the examination of quantum systems driven by non-Gaussian stochastic processes with bounded range. We present an application of this extended technique by simulating Stark-tuned F\"orster resonance transfer in Rydberg atoms with non-perturbative position fluctuations. 
Mohan Sarovar, Matthew D. Grace
quant-ph physics.chem-ph