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Identification of dynamical Lie algebras for finite-level quantum control systems

Schirmer, S. J.; Pullen, I. C. H. and Solomon, A. I. (2002). Identification of dynamical Lie algebras for finite-level quantum control systems. Journal of Physics A: Mathematical and General, 35(9) pp. 2327–2340.

URL: http://www.iop.org/EJ/abstract/0305-4470/35/9/319
DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1088/0305-4470/35/9/319
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Abstract

The problem of identifying the dynamical Lie algebras of finite-level quantum systems subject to external control is considered, with special emphasis on systems that are not completely controllable. In particular, it is shown that the dynamical Lie algebra for an N-level system with symmetrically coupled transitions, such as a system with equally spaced energy levels and uniform transition dipole moments, is a subalgebra of so(N) if N = 2ℓ+ 1, and a subalgebra of sp(ℓ) if N = 2. General criteria for obtaining either so(2ℓ+ 1) or sp(ℓ) are established.

Item Type: Journal Article
Copyright Holders: 2002 IOP Publishing Ltd
ISSN: 1751-8121
Keywords: quantum control; Lie algebra
Academic Unit/Department: Science > Physical Sciences
Item ID: 8146
Depositing User: Allan Solomon
Date Deposited: 21 Jun 2007
Last Modified: 09 Jun 2014 13:25
URI: http://oro.open.ac.uk/id/eprint/8146
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