title: Reduced equations of motion for quantum systems driven by diffusive Markov processes.
abstract: 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 Förster resonance transfer in Rydberg atoms with nonperturbative position fluctuations.
authors.affiliation: Department of Scalable and Secure Systems Research, Sandia National Laboratories, Livermore, California 94550, USA.
authors.forename: Mohan
authors.initials: M
authors.lastname: Sarovar
authors.forename: Matthew D
authors.initials: MD
authors.lastname: Grace