Ultracold Bosons in One Dimension
A few-body perspective
978-3-8383-5745-4
3838357450
124
2010-04-14
59.00 €
eng
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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 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''.
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Physics, astronomy
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