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Phys. Rev. A 61, 032106 (2000) [6 pages]

Explicit generation of unitary transformations in a single atom or molecule

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Viswanath Ramakrishna* and Raimund Ober
Center for Engineering Math and the Program in Math Sciences, EC 35, University of Texas at Dallas, P.O. Box 830688, Richardson, Texas 75083

Xiaobai Sun
Department of Computer Science, Duke University Durham, North Carolina 27706

Ole Steuernagel§, Jair Botina**, and Herschel Rabitz††
Department of Chemistry, Frick Laboratories, Princeton University, Princeton, New Jersey 08544

Received 28 September 1998; published 14 February 2000

A constructive procedure for generating a prescribed unitary transform via the optically driven evolution of a multilevel atom is described. Assuming a clean separation of the coupled levels, the procedure employs the rotating wave approximation together with a decomposition of a unitary matrix into simpler matrix factors with specified structure. Applications to state preparation and observation are also provided.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.61.032106
DOI:
10.1103/PhysRevA.61.032106
PACS:
03.65.Bz

*Electronic address: vish@utdallas.edu

Electronic address: ober@utdallas.edu

Electronic address: xiaboai@cs.duke.edu

§Electronic address: ole@straus.princeton.edu

**Electronic address: jbotina@elgar.princeton.edu

††Electronic address: hrabitz@chemvax.princeton.edu