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Nonlinear effects in one-dimensional collective modes

Grant number: 11/23386-6
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): March 01, 2012
Effective date (End): December 31, 2012
Field of knowledge:Physical Sciences and Mathematics - Physics - Condensed Matter Physics
Principal Investigator:Rodrigo Gonçalves Pereira
Grantee:Millena Logrado dos Santos
Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Nonlinear effects that represent interactions between collective modes are important to explaining the dynamical properties of one-dimensional quantum fluids beyond the Luttinger liquid paradigm. In this project, we propose to study how interaction affects the excitation spectrum of a simple boson model. This study should serve as an introduction to concepts of many-body theory while applying methods of quantum mechanics, such as the formalism of creation and annihilation operators for harmonic oscillators and degenerate or time-dependent perturbation theory.(AU)

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