Aniello, Paolo and Lupo, Cosmo and Napolitano, Mario (2006) Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices. [Pubblicazione in rivista scientifica]
Anteprima |
PDF
OSID_13_415.pdf Download (215kB) | Anteprima |
| Tipologia del documento: | Pubblicazione in rivista scientifica |
|---|---|
| Titolo: | Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices |
| Autori: | Autore Email Aniello, Paolo [non definito] Lupo, Cosmo [non definito] Napolitano, Mario [non definito] |
| Data: | 2006 |
| Tipo di data: | Pubblicazione |
| Numero identificativo: | 10.1007/s11080-006-9023-1 |
| URL ufficiale: | http://www.springerlink.com/content/e22q3t12290177... |
| Titolo del periodico: | Open System & Information Dynamics |
| Data: | 2006 |
| Volume: | 13 |
| Intervallo di pagine: | pp. 415-426 |
| Numero identificativo: | 10.1007/s11080-006-9023-1 |
| Settori scientifico-disciplinari del MIUR: | Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |
| Depositato il: | 08 Nov 2008 |
| Ultima modifica: | 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.
Downloads
Downloads per month over past year
Actions (login required)
 |
Modifica documento |
