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Treball de fi de grau

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cc-by-nc-nd (c) Romero, 2016
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/96361

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

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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

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutor: Bruno Juliá-Díaz

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ROMERO ROS, Alejandro. Ultracold Bosons in 1D: from Bose-Einstein condensateto Tonks-Girardeau gas. [consulta: 21 de gener de 2026]. [Disponible a: https://hdl.handle.net/2445/96361]

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