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Physical Sciences and Mathematics

Boise State University

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2014

Bose-Hubbard model

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Bose-Einstein Condensation In A Double-Well System, Jesus Caloca Apr 2014

Bose-Einstein Condensation In A Double-Well System, Jesus Caloca

College of Arts and Sciences Presentations

The two-site version of the Bose-Hubbard model can be used as a simplified model of N bosons confined to two quantum wells. We study the behavior of low-temperature Bose-Einstein condensates as a function of the strength of the repulsive interactions between the bosons and of the size of the quantum-mechanical tunneling between the quantum wells. The ground-state of weakly interacting bosons tends to be one in which almost all particles are in the same quantum-mechanical state (‘Bose-Einstein Condensate’, or ‘BEC’). It is found that even very small amounts of interwell tunneling lead to a BEC, but that zero tunneling leads …