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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Tipologia del documento: Pubblicazione in rivista scientifica
Titolo: Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices
Autori:
AutoreEmail
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.

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