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: Juliá-Díaz, Bruno
Keywords: Bosons
Condensació de Bose-Einstein
Tesis
Bosons
Bose-Einstein condensation
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

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