Explicit generation of unitary transformations in a single atom or molecule

V. Ramakrishna; R. Ober; X. Sun; O. Steuernagel; J. Botina; H. Rabitz

doi:10.1103/PhysRevA.61.032106

Explicit generation of unitary transformations in a single atom or molecule

V. Ramakrishna
, R. Ober
, X. Sun
, O. Steuernagel
, J. Botina
, H. Rabitz

Research output: Contribution to journal › Article › peer-review

40 Citations (Scopus)

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.

Original language	English
Article number	032106
Number of pages	6
Journal	Physical Review A
Volume	61
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.61.032106
Publication status	Published - 2000

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10.1103/PhysRevA.61.032106

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title = "Explicit generation of unitary transformations in a single atom or molecule",

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.",

author = "V. Ramakrishna and R. Ober and X. Sun and O. Steuernagel and J. Botina and H. Rabitz",

note = "Original article can be found at: http://prola.aps.org/ Copyright American Physical Society. [Full text of this article is not available in the UHRA]",

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AU - Ramakrishna, V.

AU - Ober, R.

AU - Sun, X.

AU - Steuernagel, O.

AU - Botina, J.

AU - Rabitz, H.

N1 - Original article can be found at: http://prola.aps.org/ Copyright American Physical Society. [Full text of this article is not available in the UHRA]

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevA.61.032106

DO - 10.1103/PhysRevA.61.032106

M3 - Article

SN - 1050-2947

VL - 61

JO - Physical Review A

JF - Physical Review A

IS - 3

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Explicit generation of unitary transformations in a single atom or molecule

Abstract

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