Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/96361
Title: | Ultracold Bosons in 1D: from Bose-Einstein condensateto Tonks-Girardeau gas |
Author: | Romero Ros, Alejandro |
Director/Tutor: | Juliá-Díaz, Bruno |
Keywords: | Bosons Condensació de Bose-Einstein Treballs de fi de grau Bosons Bose-Einstein condensation Bachelor's theses |
Issue Date: | Jan-2016 |
Abstract: | We consider an ultracold atomic gas trapped in a one-dimensional harmonic oscillator potential. We study the transition from a Bose-Einstein condensate, in the small atom-atom interaction limit, to a strongly interacting Tonks-Girardeau gas, as the interaction is varied from zero to large values. The response of the system against a monopolar perturbation is characterized by the moments of the dynamic structure function. The calculations have been done by direct diagonalization of the second quantized many-body Hamiltonian in a truncated Fock space. The corresponding virial theorem for the many-body states has been employed to cross-check the validity of our numerical techniques |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutor: Bruno Juliá-Díaz |
URI: | http://hdl.handle.net/2445/96361 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
TFG_Fis_Romero_Ros_Alejandro.pdf | 278.98 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License