# name
Ultracold Bosons in 1D: from Bose-Einstein condensateto Tonks-Girardeau gas

# metadata.dc.description[].value
Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutor: Bruno Juliá-Díaz

# metadata.dc.description.abstract[].value
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

# metadata.dc.title[].value
Ultracold Bosons in 1D: from Bose-Einstein condensateto Tonks-Girardeau gas