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
收藏
页码：1893 / 1916
页数：24
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