Controllability of molecular systems

Viswanath Ramakrishna, Murti V. Salapaka, Mohammed Dahleh, Herschel Albert Rabitz, Anthony Peirce

Research output: Contribution to journalArticle

299 Scopus citations

Abstract

In this paper we analyze the controllability of quantum systems arising in molecular dynamics. We model these systems as systems with finite numbers of levels, and examine their controllability. To do this we pass to their unitary generators and use results on the controllability of invariant systems on Lie groups. Examples of molecular systems, modeled as finite-dimensional control systems, are provided. A simple algorithm to detect the controllability of a molecular system is provided. Finally, we apply this algorithm to a five-level system.

Original languageEnglish (US)
Pages (from-to)960-966
Number of pages7
JournalPhysical Review A
Volume51
Issue number2
DOIs
StatePublished - Jan 1 1995

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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    Ramakrishna, V., Salapaka, M. V., Dahleh, M., Rabitz, H. A., & Peirce, A. (1995). Controllability of molecular systems. Physical Review A, 51(2), 960-966. https://doi.org/10.1103/PhysRevA.51.960