in the bose-hubbard model, we need to enumerate all the possible basis(adsbygoogle = window.adsbygoogle || []).push({});

usually, the basis vectors are taken as the fock states

The problem is that, how to arrange the basis and how to establish the matrix of the hamiltonian as soon as possible

It is apparent the the matrix will be very sparse

then how can we avoid to set the matrix elements that are surely zero ?

i find this problem non-trivial

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# How to establish the hamiltonian matrix as soon as possible?

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