Dynamic dimensionality identification for quantum control

Jonathan Roslund, Herschel Rabitz

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The control of quantum systems with shaped laser pulses presents a paradox since the relative ease with which solutions are discovered appears incompatible with the enormous variety of pulse shapes accessible with a standard pulse shaper. Quantum landscape theory indicates that the relevant search dimensionality is not dictated by the number of pulse shaper elements, but rather is related to the number of states participating in the controlled dynamics. The actual dimensionality is encoded within the sensitivity of the observed yield to all of the pulse shaper elements. To investigate this proposition, the Hessian matrix is measured for controlled transitions amongst states of atomic rubidium, and its eigendecomposition reveals a dimensionality consistent with that predicted by landscape theory. Additionally, this methodology furnishes a low-dimensional picture that captures the essence of the light-matter interaction and the ensuing system dynamics.

Original languageEnglish (US)
Article number143001
JournalPhysical review letters
Issue number14
StatePublished - Apr 7 2014

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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