Ultracold Bosons in One Dimension - Zöllner, Sascha
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This thesis studies the one-dimensional Bose gas from a few-body perspective. Building up on the familiar two-body physics, successively adding more and more atoms gives an intuitive picture of the many-body physics in the thermodynamic limit. The basic theoretical tools (Fock space, effective interactions, density matrices, and useful soluble models) are introduced in a pedagogical fashion, connecting the few- and many-body viewpoints. An in-depth discussion is devoted to the computational methods used (exact diagonalization and wave-packet dynamics), which are put into the context of common…mehr

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Produktbeschreibung
This thesis studies the one-dimensional Bose gas from a few-body perspective. Building up on the familiar two-body physics, successively adding more and more atoms gives an intuitive picture of the many-body physics in the thermodynamic limit. The basic theoretical tools (Fock space, effective interactions, density matrices, and useful soluble models) are introduced in a pedagogical fashion, connecting the few- and many-body viewpoints. An in-depth discussion is devoted to the computational methods used (exact diagonalization and wave-packet dynamics), which are put into the context of common many-body methods, such as DMRG and Quantum Monte Carlo. The few-body picture is then applied to the study of one-dimensional trapped bosons, the main emphasis being on the crossover from weak interactions to the limit of infinite repulsion, where the bosons 'fermionize'.
Autorenporträt
Under- and graduate studies at TU Dresden, Cornell University, and Heidelberg. 2008 Dissertation at Heidelberg University. Since 2009 Leopoldina research fellow at the Niels Bohr Institute, Copenhagen. Research areas: Theory of ultracold atoms, in particular few-atom physics; Fermi gases; atoms in external fields.