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arXiv · 1205.2178

Reduced equations of motion for quantum systems driven by diffusive Markov processes

Mohan Sarovar·Matthew D. Grace
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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.

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Mohan Sarovar, Matthew D. Grace. 2012-09-30. Reduced equations of motion for quantum systems driven by diffusive Markov processes. https://doi.org/10.1103/physrevlett.109.130401

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