Extension of the Morris-Shore transformation to multilevel ladders
A. A. Rangelov, N. V. Vitanov, and B. W. Shore
TL;DR
This paper generalizes the Morris-Shore transformation to multilevel quantum systems, enabling the simplification of complex N-level chains into independent and uncoupled sets, with practical examples provided.
Contribution
It extends the Morris-Shore transformation to multilevel ladders, allowing for simplified analysis of complex quantum energy level chains.
Findings
Transformation reduces complex chains to simpler independent sets
Applicable to time-dependent external fields
Illustrated with three-level chain examples
Abstract
We describe situations in which chains of N degenerate quantum energy levels, coupled by time-dependent external fields, can be replaced by independent sets of chains of length N, N-1,...,2 and sets of uncoupled single states. The transformation is a generalization of the two-level Morris-Shore transformation [J.R. Morris and B.W. Shore, Phys. Rev. A 27, 906 (1983)]. We illustrate the procedure with examples of three-level chains.
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