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Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model

Fischer, Uwe; Schutzhold, Ralf; Uhlmann, Michael


By means of an adapted mean-field expansion for large fillings n 1, we study the evolution of quantum fluctuations in the time-dependent Bose-Hubbard model, starting in the superfluid state and approaching the Mott phase by decreasing the tunneling rate or increasing the interaction strength in time. For experimentally relevant cases, we derive analytical results for the temporal behavior of the number and phase fluctuations, respectively. This allows us to calculate the growth of the...[Show more]

CollectionsANU Research Publications
Date published: 2008-04-14
Type: Journal article
Source: Physical Review A: Atomic, Molecular and Optical Physics
DOI: 10.1103/PhysRevA.77.043615


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