Chirped pulses, Gauss sums and the factorization of numbers

被引：16

作者：

Merkel, Wolfgang ^{[1
]}

Crasser, Oliver

Haug, Florian

Lutz, Eric

Mack, Holger

Freyberger, Matthias

Schleich, Wolfgang P.

Averbukh, Ilya

Bienert, Marc

Girard, Bertrand

Maier, Helmut

Paulus, Gerhard G.

机构：

[1] Univ Ulm, Abt Quantenphys, D-89069 Ulm, Germany

[2] Weizmann Inst Sci, Dept Chem Phys, IL-76100 Rehovot, Israel

[3] Univ Nacl Autonoma Mexico, Ctr Ciencias Fis, Cuernavaca 62251, Morelos, Mexico

[4] Univ Toulouse 3, CNRS, Lab Collisions Agregats & React, UMR 5589,IRSAMC, Toulouse, France

[5] Univ Ulm, Abt Zahlentheorie & Wahrscheinlichkeitstheorie, D-89069 Ulm, Germany

[6] Texas A&M Univ, Dept Phys, College Stn, TX 77843 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2006年 / 20卷 / 11-13期

关键词：

chirped laser pulses; two-photon transition; quantum rotor; autocorrelation function; factorization; Gauss sums; Riemann zeta-function;

D O I：

10.1142/S021797920603439X

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We present two physical systems which make Cau beta sums experimentally accessible. The probability amplitude for a two-photon transition in an appropriate ladder system driven by a chirped laser pulse is determined by a Gau beta sum. The autocorrelation function of a quantum rotor is also of the form of a Gau beta sum. These examples suggest rules for determining prime factor components on the basis of the properties of Gau beta

引用

页码：1893 / 1916

页数：24

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