Dynamical symmetry reduction and discrete tomography of a Ξ atom

Dylan Mahler; Andrei B. Klimov; Hubert De Guise

doi:10.1088/0031-8949/2010/T140/014026

Dynamical symmetry reduction and discrete tomography of a Ξ atom

Dylan Mahler^*, Andrei B. Klimov, Hubert De Guise

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

2 Citations (Scopus)

Abstract

When implemented using a reasonable Hamiltonian, the tomography of a three-level Ξ atom is complicated by the equidistant energy levels of the atom. This restricts the possible transformations to those in the SO(3) subgroup of SU(3). Although complete reconstruction is possible for a single Ξ atom using a continuous set of tomograms, the discrete optimal set of tomograms, related to mutually unbiased bases in dimension 3, are not accessible by time evolution. We discuss here the search for an optimal set of discrete basis states compatible with the reduced SO(3) symmetry of the system.

Original language	English
Title of host publication	Physica Scripta T
Volume	T140
DOIs	https://doi.org/10.1088/0031-8949/2010/T140/014026
Publication status	Published - 2010
Event	16th Central European Workshop on Quantum Optics, CEWQO2009 - Turku, Finland Duration: 23 May 2009 → 27 May 2009

Conference

Conference	16th Central European Workshop on Quantum Optics, CEWQO2009
Country	Finland
City	Turku
Period	23/05/09 → 27/05/09

Access to Document

10.1088/0031-8949/2010/T140/014026

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title = "Dynamical symmetry reduction and discrete tomography of a Ξ atom",

abstract = "When implemented using a reasonable Hamiltonian, the tomography of a three-level Ξ atom is complicated by the equidistant energy levels of the atom. This restricts the possible transformations to those in the SO(3) subgroup of SU(3). Although complete reconstruction is possible for a single Ξ atom using a continuous set of tomograms, the discrete optimal set of tomograms, related to mutually unbiased bases in dimension 3, are not accessible by time evolution. We discuss here the search for an optimal set of discrete basis states compatible with the reduced SO(3) symmetry of the system.",

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AU - De Guise, Hubert

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N2 - When implemented using a reasonable Hamiltonian, the tomography of a three-level Ξ atom is complicated by the equidistant energy levels of the atom. This restricts the possible transformations to those in the SO(3) subgroup of SU(3). Although complete reconstruction is possible for a single Ξ atom using a continuous set of tomograms, the discrete optimal set of tomograms, related to mutually unbiased bases in dimension 3, are not accessible by time evolution. We discuss here the search for an optimal set of discrete basis states compatible with the reduced SO(3) symmetry of the system.

AB - When implemented using a reasonable Hamiltonian, the tomography of a three-level Ξ atom is complicated by the equidistant energy levels of the atom. This restricts the possible transformations to those in the SO(3) subgroup of SU(3). Although complete reconstruction is possible for a single Ξ atom using a continuous set of tomograms, the discrete optimal set of tomograms, related to mutually unbiased bases in dimension 3, are not accessible by time evolution. We discuss here the search for an optimal set of discrete basis states compatible with the reduced SO(3) symmetry of the system.

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