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Master's Dissertation
DOI
https://doi.org/10.11606/D.76.2002.tde-12122013-103059
Document
Author
Full name
Clodoaldo Cordeiro Rulli
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2002
Supervisor
Committee
Napolitano, Reginaldo de Jesus (President)
Hornos, Jose Eduardo Martinho
Mizrahi, Salomon Sylvain
Title in Portuguese
Solução numérica da equação quase-clássica para a função de Wigner matricial de dois átomos frios colidindo à presença de um feixe laser
Keywords in Portuguese
Colisões atômicas
Colisões frias
Formalismo de Wigner-Weyl
Abstract in Portuguese
Neste trabalho implementamos um programa computacional capaz de descrever passo-a-passo o processo de colisão entre dois átomos confinados numa armadilha magneto-óptica em regime frio. Para isso utilizamos o formalismo de Wigner, que é uma formulação equivalente à mecânica quântica, para encontrar-mos uma aproximação quase-clássica para as equações que descrevem o sistema. Este formalismo permite-nos separar os graus de liberdade externos dos átomos colidentes, que podem ser tratados de maneira quase-clássica, dos graus internos de liberdade, os quais não tem contraparte clássica e, portanto, são tratados quanticamente
Title in English
Numerical solution of the quasi-classical equation for the matrix Wigner function of two cold atoms colliding in the presence of a laser beam
Keywords in English
Atomic collisions
Cold collisions
Wigner-Weyl formalism
Abstract in English
In this work we implement a computer program that describes, step by step, the collision process between two atoms confined in a magneto-optical trap in the cold regime. Here we utilize the Wigner-function theory, which is a formulation of quantum mechanics in terms of a phase space, to find a quasi-classical approx¬imation of the dynamical equations that govern the time evolution of the system. This approach allows us to describe the dynamics in terms of external and internal degrees of freedom. The former degrees of freedom are treated quasi-classically, while the latter, because they do not have a classical counterpart, are treated quan¬tum mechanically
 
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ClodoaldoRulliM.pdf (3.19 Mbytes)
Publishing Date
2013-12-18
 
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