Question: Show that the Bose-Hubbard model has the superfluid ground state at integer u/U for any value of hopping by using the degenerate pertur- bation

Show that the Bose-Hubbard model has the superfluid ground state at integer 

Show that the Bose-Hubbard model has the superfluid ground state at integer u/U for any value of hopping by using the degenerate pertur- bation theory.

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