Aniello, Paolo and Lupo, Cosmo and Napolitano, Mario (2006) Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices. [Pubblicazione in rivista scientifica]
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| Item Type: | Pubblicazione in rivista scientifica | ||||||||
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| Title: | Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices | ||||||||
| Creators: |
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| Date: | 2006 | ||||||||
| Date Type: | Publication | ||||||||
| Identification Number: | 10.1007/s11080-006-9023-1 | ||||||||
| Official URL: | http://www.springerlink.com/content/e22q3t12290177... | ||||||||
| Journal or Publication Title: | Open System & Information Dynamics | ||||||||
| Date: | 2006 | ||||||||
| Volume: | 13 | ||||||||
| Page Range: | pp. 415-426 | ||||||||
| Identification Number: | 10.1007/s11080-006-9023-1 | ||||||||
| Settori scientifico-disciplinari del MIUR: | Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici | ||||||||
| Date Deposited: | 08 Nov 2008 | ||||||||
| Last Modified: | 30 Apr 2014 19:34 | ||||||||
| URI: | http://www.fedoa.unina.it/id/eprint/2890 |
Abstract
In this paper, we investigate some mathematical structures underlying the physics of linear optical passive (LOP) devices. We show, in particular, that with the class of LOP transformations on N optical modes one can associate a unitary representation of U(N) in the N-mode Fock space, representation which can be decomposed into irreducible sub-representations living in the subspaces characterized by a fixed number of photons. These (sub-)representations can be classified using the theory of representations of semi-simple Lie algebras. The remarkable case where N = 3 is studied in detail.
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