Quantum Physics


Close-Coupling: Generating Function and Fokker-Planck for Coherent Multilevel Cascades (Quantum Walks)

Authors: Mark Syrkin

Close-coupling in quantum systems induces cascade transitions that are not captured by simple perturbation theories and hence more relevant and complex methods are needed. However, the analytic tractability of the latter is limited to just a few highly stylized models, e.g. equidistant infinite systems. Showing that properly adjusted key modeling parameters enable an extension of analytic solutions across more realistic cases (e.g. non-uniform level spacing and finite and asymmetric boundary conditions) arising in various experimental set-ups. Also demonstrating that the Fokker-Planck approach applied to probability amplitudes rather than to probabilities themselves – the latter being a traditional kinetics approach – produces coarse-grained amplitudes “smoothed” over the fine structure of an exact solution and driven by lower order terms in the generating function. Models and results presented here naturally overlap with algorithms of Quantum Walks related to quantum computing studies.

Comments: 12 Pages.

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Submission history

[v1] 2019-01-14 18:10:54

Unique-IP document downloads: 45 times

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