Stability, elementary excitations and dynamics of a confined condensates mixture

• Grant number: 05/04501-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2006
• End date: July 31, 2006
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Lauro Tomio
• Grantee: Marcelo Oliveira da Costa Pires
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil

Abstract

The project is to analyze and solve numerically as well as variationally the time-dependent and the time-independent Gross Pitaevskii equations for a binary mixing of trapped condensates. The condensates are considered of atoms that have two-body interaction trapped by anisotropic harmonic interaction. With the obtained solutions, the aim is to determine the spectra and the elementary excitation modes of both condensates; and, with such modes, to stablish the stability conditions of the mixture. Our aim is also to consider an extension of the Gross-Pitaevskii, or through the three-body interaction, or considereing the molecule formations, or using the interaction with the thermal cloud. We intend determined the dynamics of the collapse on mixture when it exceed the limits of the stability conditions.