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Università degli Studi di Trento
Facoltà di Scienze Matematiche Fisiche e Naturali
Tesi di Dottorato di Ricerca in Fisica
QUANTUM MONTE CARLO
STUDY
OF ULTRACOLD GASES
Dottorato di Ricerca in Fisica, XVII Ciclo
15 Dicembre 2004
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Contents
Notation and abbreviations
Introduction
Tools
Quantum Monte Carlo technique
3D-1D crossover of a trapped Bose gas
Quasi 1D Bose gases with large scattering length
Ground state properties of a one-dimensional Bose gas
Beyond Tonks-Girardeau: super-Tonks gas
Motion of a heavy impurity through a Bose-Einstein condensate
Interacting fermions in highly elongated harmonic traps
BEC-BCS crossover
Conclusions
Bibliography
Bethe ansatz solutions
Obtaining the momentum distribution from
Acknowledgements
About this document ...
G.E. Astrakharchik
15-th of December 2004