Work

Factorization of Numbers with the Temporal Talbot Effect: Optical Implementation by a Sequence of Shaped Ultrashort Pulses

Year: 2008

Type: article

Abstract: We report on the successful operation of an analogue computer designed to factor numbers. Our device relies solely on the interference of classical light and brings together the field of ultrashort laser pulses with number theory. Indeed, the frequency component of the electric field corresponding to a sequence of appropriately shaped femtosecond pulses is determined by a Gauss sum which allows us to find the factors of a number.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.100.030202

Authors: Damien Bigourd, Béatrice Chatel, Wolfgang P. Schleich, Bertrand Girard

Institutions: Centre National de la Recherche Scientifique, Université Toulouse III - Paul Sabatier, Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes, Laboratoire Collisions Agrégats Réactivité, Université de Toulouse, Universität Ulm

Language: English

Topic: Laser-Matter Interactions and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Baden-Württemberg Stiftung, Agence Nationale de la Recherche

OpenAlex ID: W2056298292

FWCI: 7.089

Cites: 45

Cited by: 84

Related to: 10