Juliá-Díaz, BrunoRomero Ros, Alejandro2016-03-102016-03-102016-01https://hdl.handle.net/2445/96361Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutor: Bruno Juliá-DíazWe 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 techniques5 p.application/pdfengcc-by-nc-nd (c) Romero, 2016http://creativecommons.org/licenses/by-nc-nd/3.0/es/BosonsCondensació de Bose-EinsteinTreballs de fi de grauBosonsBose-Einstein condensationBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess