Schirmer, S. J.; Pullen, I. C. H. and Solomon, A. I.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1088/0305-4470/35/9/319|
|Google Scholar:||Look up in Google Scholar|
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|
|Keywords:||quantum control; Lie algebra|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Allan Solomon|
|Date Deposited:||21 Jun 2007|
|Last Modified:||02 Aug 2016 13:07|
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