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 non-perturbative position fluctuations.

4+ pages plus appendices. Published version

References in corpus (7)

• Quantum information with Rydberg atoms
• Diamondoid Molecules
• Spatially resolved observation of dipole-dipole interaction between Rydberg atoms
• Observation of the Stark-tuned Forster resonance between two Rydberg atoms
• Optimal control of quantum gates and suppression of decoherence in a system of interacting two-level particles
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• Quantum decoherence dynamics in stochastically fluctuating environments
• Photon counting statistics in the presence of spectral diffusion induced by nonequilibrium environmental fluctuations