Explicit generation of unitary transformations in a single atom or molecule

Phys. Rev. A 61, 032106 – Published 14 February 2000
Viswanath Ramakrishna, Raimund Ober, Xiaobai Sun, Ole Steuernagel, Jair Botina, and Herschel Rabitz

Abstract

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.

DOI: http://dx.doi.org/10.1103/PhysRevA.61.032106

  • Received 28 September 1998
  • Published 14 February 2000

© 2000 The American Physical Society

Authors & Affiliations

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

  • *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

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