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Exact number-conserving phase-space dynamics of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>M</mml:mi></mml:math>-site Bose-Hubbard model
The dynamics of $M$-site, $N$-particle Bose-Hubbard systems is described in quantum phase space constructed in terms of generalized $\text{SU}(M)$ coherent states. These states have a special significance for these systems as they describe fully condensed states. Based on the differential algebra developed by Gilmore, we derive an explicit evolution equation …