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Emergence of coherence in the Mott-insulator–superfluid quench of the Bose-Hubbard model

Emergence of coherence in the Mott-insulator–superfluid quench of the Bose-Hubbard model

We study the quench from the Mott-insulator to the superfluid phase in the Bose-Hubbard model and investigate the spatial-temporal growth of phase coherence, that is, phase locking between initially uncorrelated sites. To this end, we establish a hierarchy of correlations via a controlled expansion into inverse powers of the coordination …