dorsal/arxiv
View SchemaIdentification of dynamical Lie algebras for finite-level quantum control systems
| Authors | S. G. Schirmer, I. C. H. Pullen, A. I. Solomon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203104 |
| URL | https://arxiv.org/abs/quant-ph/0203104 |
| DOI | 10.1088/0305-4470/35/9/319 |
| Journal | J. Phys. A, 35 (2002), 2327 |
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 equally spaced energy levels and uniform transition dipole moments, is a subalgebra for $so(N)$ if $N=2\ell+1$, and a subalgebra of $sp(\ell)$ if $N=2\ell$. General conditions for obtaining either $so(2\ell+1)$ or $sp(\ell)$ are established.
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"abstract": "The problem of identifying the dynamical Lie algebras of finite-level quantum\nsystems subject to external control is considered, with special emphasis on\nsystems that are not completely controllable. In particular, it is shown that\nthe dynamical Lie algebra for an N-level system with equally spaced energy\nlevels and uniform transition dipole moments, is a subalgebra for $so(N)$ if\n$N=2\\ell+1$, and a subalgebra of $sp(\\ell)$ if $N=2\\ell$. General conditions\nfor obtaining either $so(2\\ell+1)$ or $sp(\\ell)$ are established.",
"arxiv_id": "quant-ph/0203104",
"authors": [
"S. G. Schirmer",
"I. C. H. Pullen",
"A. I. Solomon"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/9/319",
"journal_ref": "J. Phys. A, 35 (2002), 2327",
"title": "Identification of dynamical Lie algebras for finite-level quantum control systems",
"url": "https://arxiv.org/abs/quant-ph/0203104"
},
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