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Control of a coupled two-spin system without hard pulses

Control of a coupled two-spin system without hard pulses
Control of a coupled two-spin system without hard pulses
Constructive techniques for preparing a specific unitary generator from a coupled two-spin system, via bounded amplitude radio frequency selective single spin pulses, are presented. The frequency of any pulse in the sequence is one of the two Larmor frequencies, while the phase takes one of two values. The fact that the amplitude is bounded implies that the Larmor frequency separation between the two spins need not be large to maintain selectivity. In addition, the contribution of the J coupling term to single spin evolution is not neglected, but instead plays a crucial role. The procedure is based on a certain decomposition of SU(4) available in the literature. A method for determining the parameters entering this factorization, in terms of the entries of the target unitary generator, is also provided.
1050-2947
Ramakrishna, Viswanath
5a8676d8-c0ed-4c8e-bfb6-8f7ccc4d2883
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Flores, Kathryn L.
59c6c289-0880-4827-8bff-3027053af715
Rabitz, Herschel
3e81aa62-a017-448f-a82a-8cf03df52899
Ramakrishna, Viswanath
5a8676d8-c0ed-4c8e-bfb6-8f7ccc4d2883
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Flores, Kathryn L.
59c6c289-0880-4827-8bff-3027053af715
Rabitz, Herschel
3e81aa62-a017-448f-a82a-8cf03df52899

Ramakrishna, Viswanath, Ober, Raimund J., Flores, Kathryn L. and Rabitz, Herschel (2002) Control of a coupled two-spin system without hard pulses. Physical Review A, 65 (6), [063405]. (doi:10.1103/PhysRevA.65.063405).

Record type: Article

Abstract

Constructive techniques for preparing a specific unitary generator from a coupled two-spin system, via bounded amplitude radio frequency selective single spin pulses, are presented. The frequency of any pulse in the sequence is one of the two Larmor frequencies, while the phase takes one of two values. The fact that the amplitude is bounded implies that the Larmor frequency separation between the two spins need not be large to maintain selectivity. In addition, the contribution of the J coupling term to single spin evolution is not neglected, but instead plays a crucial role. The procedure is based on a certain decomposition of SU(4) available in the literature. A method for determining the parameters entering this factorization, in terms of the entries of the target unitary generator, is also provided.

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Published date: 6 June 2002

Identifiers

Local EPrints ID: 424922
URI: http://eprints.soton.ac.uk/id/eprint/424922
ISSN: 1050-2947
PURE UUID: 04b861bc-c320-47ec-8d31-8dfa731346e2
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

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Date deposited: 05 Oct 2018 16:30
Last modified: 16 Mar 2024 04:37

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Contributors

Author: Viswanath Ramakrishna
Author: Raimund J. Ober ORCID iD
Author: Kathryn L. Flores
Author: Herschel Rabitz

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