Aniello, Paolo and Lupo, Cosmo and Napolitano, Mario (2006) Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices. [Rivista]

[img]
Preview
PDF
OSID_13_415.pdf

Download (215kB) | Preview

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.

Item Type: Rivista
Depositing User: Cosmo Lupo
Date Deposited: 08 Nov 2008
Last Modified: 30 Apr 2014 19:34
URI: http://www.fedoa.unina.it/id/eprint/2890

Actions (login required)

View Item View Item