Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/66199
Type: Artigo de periódico
Title: Exact diagonalization of two quantum models for the damped harmonic oscillator
Author: da Costa, MR
Caldeira, AO
Dutra, SM
Westfahl, H
Abstract: The damped harmonic oscillator is a workhorse for the study of dissipation in quantum mechanics. However, despite its simplicity, this system has given rise to some approximations whose validity and relation to more refined descriptions deserve a thorough investigation. In this work, we apply a method that allows us to diagonalize exactly the dissipative Hamiltonians that are frequently adopted in the literature. Using this method, we derive the conditions of validity of the rotating-wave approximation (RWA) and show how this approximate description relates to more general ones. We also show that the existence of dissipative coherent states is intimately related to the RWA. Finally, through the evaluation of the dynamics of the damped oscillator, we notice an important property of the dissipative model that has not been properly accounted for in previous works, namely the necessity of new constraints to the application of the factorizable initial conditions.
Country: EUA
Editor: American Physical Soc
Rights: aberto
Date Issue: 2000
Appears in Collections:Unicamp - Artigos e Outros Documentos

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