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Beable trajectories for revealing quantum control mechanisms

Eric Dennis·Herschel Rabitz
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Abstract

The dynamics induced while controlling quantum systems by optimally shaped laser pulses have often been difficult to understand in detail. A method is presented for quantifying the importance of specific sequences of quantum transitions involved in the control process. The method is based on a ``beable'' formulation of quantum mechanics due to John Bell that rigorously maps the quantum evolution onto an ensemble of stochastic trajectories over a classical state space. Detailed mechanism identification is illustrated with a model 7-level system. A general procedure is presented to extract mechanism information directly from closed-loop control experiments. Application to simulated experimental data for the model system proves robust with up to 25% noise.

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Eric Dennis, Herschel Rabitz. 2002-08-15. Beable trajectories for revealing quantum control mechanisms. https://doi.org/10.1103/physreva.67.033401

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