Exact diagonalization: the Bose–Hubbard model as an example
Exact diagonalization: the Bose–Hubbard model as an example
We take the Bose-Hubbard model to illustrate exact diagonalization techniques in a pedagogical way.We follow the road of first generating all the basis vectors, then setting up the Hamiltonian matrix with respect to this basis, and finally using the Lanczos algorithm to solve low lying eigenstates and eigenvalues.Emphasis is placed …